WorldWideScience

Sample records for special relativity theory

  1. Special theory of relativity

    CERN Document Server

    Kilmister, Clive William

    1970-01-01

    Special Theory of Relativity provides a discussion of the special theory of relativity. Special relativity is not, like other scientific theories, a statement about the matter that forms the physical world, but has the form of a condition that the explicit physical theories must satisfy. It is thus a form of description, playing to some extent the role of the grammar of physics, prescribing which combinations of theoretical statements are admissible as descriptions of the physical world. Thus, to describe it, one needs also to describe those specific theories and to say how much they are limit

  2. The special theory of relativity

    CERN Document Server

    Devanathan, V

    2015-01-01

    THE SPECIAL THEORY OF RELATIVITY, designed as a text book for undergraduate and postgraduate students, deals with the Michelson-Morley experiment, the concept of unified space and time, the Lorentz transformation of physical quantities, length contraction, time dilation, the Minkowski space, the mass-energy relation, the concept of four-vectors, the relativistic mechanics, the laws of transformation between centre of momentum and laboratory systems, the relativistic kinematics, the unification of laws of electricity and magnetism into laws of electromagnetism, the invariance of Maxwell's equations under Lorentz transformation and the Lorentz transformation of electromagnetic quantities. KEY FEATURES: * Review Questions * Problems * Solutions to Problems * Multiple Choice Questions

  3. The Special Theory of Relativity

    Indian Academy of Sciences (India)

    cial theory of relativity were published in the journal. Annalen der Physik, and were titled 'On the electro- dynamics of ... Historical Background. In order to set Einstein's work in proper perspective, re- call that, in ... ideas of absolute space and time firmly entrenched, most physicists thought that this speed was correct only in.

  4. Kinematical Test Theories for Special Relativity

    Science.gov (United States)

    Lämmerzahl, Claus; Braxmaier, Claus; Dittus, Hansjörg; Müller, Holger; Peters, Achim; Schiller, Stephan

    A comparison of certain kinematical test theories for Special Relativity including the Robertson and Mansouri-Sext test theories is presented and the accuracy of the experimental results testing Special Relativity are expressed in terms of the parameters appearing in these test theories. The theoretical results are applied to the most precise experimental results obtained recently for the isotropy of light propagation and the constancy of the speed of light.

  5. Maxwell's electromagnetic theory and special relativity.

    Science.gov (United States)

    Hall, Graham

    2008-05-28

    This paper presents a brief history of electromagnetic theory from ancient times up to the work of Maxwell and the advent of Einstein's special theory of relativity. It is divided into five convenient periods and the intention is to describe these developments for the benefit of a lay scientific audience and with the minimum of technical detail.

  6. Special relativity and classical field theory

    CERN Document Server

    Susskind, Leonard

    2017-01-01

    Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.

  7. Testing special relativity theory using Compton scattering

    International Nuclear Information System (INIS)

    Contreras S, H.; Hernandez A, L.; Baltazar R, A.; Escareno J, E.; Mares E, C. A.; Hernandez V, C.; Vega C, H. R.

    2010-10-01

    The validity of the special relativity theory has been tested using the Compton scattering. Since 1905 several experiments has been carried out to show that time, mass, and length change with the velocity, in this work the Compton scattering has been utilized as a simple way to show the validity to relativity. The work was carried out through Monte Carlo calculations and experiments with different gamma-ray sources and a gamma-ray spectrometer with a 3 x 3 NaI (Tl) detector. The pulse-height spectra were collected and the Compton edge was observed. This information was utilized to determine the relationship between the electron's mass and energy using the Compton -knee- position, the obtained results were contrasted with two collision models between photon and electron, one model was built using the classical physics and another using the special relativity theory. It was found that calculations and experiments results fit to collision model made using the special relativity. (Author)

  8. A test theory of special relativity

    International Nuclear Information System (INIS)

    Mansouri, R.; Sexl, R.U.

    1977-01-01

    Various second-order optical tests of special relativity are discussed within the framework of a test theory developed previously. Owing to the low accuracy of the Kennedy-Thorndike experiment, the Lorentz contraction is known by direct experiments only to an accuracy of a few percent. To improve this accuracy several experiments are suggested. (author)

  9. Diffusion in the special theory of relativity.

    Science.gov (United States)

    Herrmann, Joachim

    2009-11-01

    The Markovian diffusion theory is generalized within the framework of the special theory of relativity. Since the velocity space in relativity is a hyperboloid, the mathematical stochastic calculus on Riemanian manifolds can be applied but adopted here to the velocity space. A generalized Langevin equation in the fiber space of position, velocity, and orthonormal velocity frames is defined from which the generalized relativistic Kramers equation in the phase space in external force fields is derived. The obtained diffusion equation is invariant under Lorentz transformations and its stationary solution is given by the Jüttner distribution. Besides, a nonstationary analytical solution is derived for the example of force-free relativistic diffusion.

  10. Relativity the special and the general theory

    CERN Document Server

    Einstein, Albert

    2015-01-01

    After completing the final version of his general theory of relativity in November 1915, Albert Einstein wrote a book about relativity for a popular audience. His intention was "to give an exact insight into the theory of relativity to those readers who, from a general scientific and philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics." The book remains one of the most lucid explanations of the special and general theories ever written. In the early 1920s alone, it was translated into ten languages, and fifteen editions in the original German appeared over the course of Einstein's lifetime. This new edition of Einstein's celebrated book features an authoritative English translation of the text along with an introduction and a reading companion by Hanoch Gutfreund and Jürgen Renn that examines the evolution of Einstein's thinking and casts his ideas in a broader present-day context. A special chapter explores the history...

  11. The special theory of relativity bound with relativity

    CERN Document Server

    Dingle, Herbert

    2014-01-01

    The Special Theory of Relativity:Based on a short course of lectures delivered in the late 1930s, this short book presents the theory of Special Relativity by formulating a redefinition of the measurement of length, and thus will appeal to students of physics who wish to think through Einstein's thought without the encumbrance of quasi-scientific concepts and language. Relativity: A Very Elementary Exposition:This brief lecture, delivered in October 1921 and published for the first time in 1925, offers an explanation of Einstein's theory of Special Relativity for the non-scientist, giving a ge

  12. Magnetic fields, special relativity and potential theory elementary electromagnetic theory

    CERN Document Server

    Chirgwin, B H; Kilmister, C W

    1972-01-01

    Magnetic Fields, Special Relativity and Potential Theory is an introduction to electromagnetism, special relativity, and potential theory, with emphasis on the magnetic field of steady currents (magnetostatics). Topics covered range from the origin of the magnetic field and the magnetostatic scalar potential to magnetization, electromagnetic induction and magnetic energy, and the displacement current and Maxwell's equations. This volume is comprised of five chapters and begins with an overview of magnetostatics, followed by a chapter on the methods of solving potential problems drawn from elec

  13. Possible Experiments to test Einstein's Special Relativity Theory

    OpenAIRE

    de Haan, Victor Otto

    2011-01-01

    All of the experiments supporting Einstein's Special Relativity Theory are also supportive of the Lorentz ether theory, or many other ether theories. However, a growing number of experiments show deviations from Einstein's Special Relativity Theory, but are supporting more extended theories. Some of these experiments are reviewed and analyzed. Unfortunately, many experiments are not of high quality, never repeated and mostly both. It is proposed that the most promising experiments should be r...

  14. Einstein and the Special Theory of Relativity

    Indian Academy of Sciences (India)

    some detail how Einstein evolved this theory and get a glimpse of his unique ... The Principle of Relativity: The laws of physics are the same in all inertial frames. .... ing on the railway platform will see them occur at different places. However ...

  15. Quantum Theory finally reconciled with Special Relativity

    OpenAIRE

    Tommasini, Daniele

    2001-01-01

    In 1935 Einstein, Podolsky and Rosen (EPR) pointed out that Quantum Mechanics apparently implied some mysterious, instantaneous action at a distance. This paradox is supposed to be related to the probabilistic nature of the theory, but since deterministic alternatives involving "Hidden Variables" hardly agree with the experiments, the scientific community is now accepting this ``quantum nonlocality" as if it were a reality. However, I have argued recently that Quantum Electrodynamics is free ...

  16. Theoretical physics 4 special theory of relativity

    CERN Document Server

    Nolting, Wolfgang

    2017-01-01

    This concise textbook offers a clear and comprehensive introduction to special relativity, one of the core components of undergraduate physics courses. It follows on naturally from the previous volumes in this series, thus developing the relativistic expansion of classical mechanics and electrodynamics. The first part of the book introduces Lorentz transformations, time dilation, length contraction and Minkowski diagrams. More complex themes are covered in the second part of the book, which describes the four-dimensional covariant formulation for classical mechanics and electrodynamics, including discussion of Maxwell’s equations, the Lorentz force and the covariant Lagrangian formulation. Ideally suited to undergraduate students with some grounding in classical mechanics and electrodynamics, the book is enhanced throughout with learning features such as boxed inserts and chapter summaries, with key mathematical derivations highlighted to aid understanding. The text is supported by numerous worked examples ...

  17. Special theory of relativity: lectures and applications

    International Nuclear Information System (INIS)

    Simon, Y.

    2004-01-01

    This book is a clear and complete presentation of restricted relativity in which the author follows the historical path from puzzling experimental facts to the building of a new theory. It is shown how scientists had to challenge intuitive notions of time and space to explain and give consistency to experimental results. The text is spread with a lot of explanatory notes that contribute to a better understanding of the topic. This book aims at an audience of people already acquainted with general physics: students, scientists or teachers looking for a pedagogical reference book. This work is divided into 10 chapters: 1) The speed of light; 2) The Galilean transformation and optics; 3) Michelson's experiment and the relativity principle; 4) The Lorentz transformation; 5) Lorentz contraction and time dilation; 6) Relativistic kinematics; 7) Energy and momentum; 8) Relativistic dynamics; 9) Tensor calculus - Space-time, and 10) The invariance of Maxwell equations. (A.C.)

  18. The special theory of relativity foundations, theory, verification, applications

    CERN Document Server

    Christodoulides, Costas

    2016-01-01

    This book offers a comprehensive, university-level introduction to Einstein’s Special Theory of Relativity. In addition to the purely theoretical aspect, emphasis is also given to its historical development as well as to the experiments that preceded the theory and those performed in order to test its validity. The main body of the book consists of chapters on Relativistic Kinematics and Dynamics and their applications, Optics and Electromagnetism. These could be covered in a one-semester course. A more advanced course might include the subjects examined in the other chapters of the book and its appendices. As a textbook, it has some unique characteristics: It provides detailed proofs of the theorems, offers abundant figures and discusses numerous examples. It also includes a number of problems for readers to solve, the complete solutions of which are given at the end of the book. It is primarily intended for use by university students of physics, mathematics and engineering. However, as the mathematics nee...

  19. Test theories of special relativity: a general critique

    International Nuclear Information System (INIS)

    Maciel, A.K.A.; Tiomno, J.

    1988-01-01

    Absolute Spacetime Theories conceived for the purpose of testing Special Relativity (SR) are reviewed. It is found that most theories proposed were in fact SR in different coordinate systems, since in general no specific SR violations were introduced. Models based on possible SR violating mechanisms are considered. Misconceptions in recently published papers are examined. (author) [pt

  20. One hundred years of the special theory of relativity

    International Nuclear Information System (INIS)

    Chernikov, N.A.

    2006-01-01

    Special theory of relativity is considered here as an episode from non-Euclidean geometry. Special attention is drawn to the fact that the replacement of the fifth Euclidean postulate with the Lobachevsky postulate about the parallel straight lines in the velocity space of a material point leads to the replacement of the postulate about one and the same time rate with the postulate about one and the same light velocity in all inertial reference systems

  1. Interpreting doubly special relativity as a modified theory of measurement

    International Nuclear Information System (INIS)

    Liberati, Stefano; Sonego, Sebastiano; Visser, Matt

    2005-01-01

    In this article we develop a physical interpretation for the deformed (doubly) special relativity theories (DSRs), based on a modification of the theory of measurement in special relativity. We suggest that it is useful to regard the DSRs as reflecting the manner in which quantum gravity effects induce Planck-suppressed distortions in the measurement of the 'true' energy and momentum. This interpretation provides a framework for the DSRs that is manifestly consistent, nontrivial, and in principle falsifiable. However, it does so at the cost of demoting such theories from the level of fundamental physics to the level of phenomenological models - models that should in principle be derivable from whatever theory of quantum gravity one ultimately chooses to adopt

  2. Can quantum theory and special relativity peacefully coexist?

    NARCIS (Netherlands)

    Seevinck, M.P.

    This white paper aims to identify an open problem in ‘Quantum Physics and the Nature of Reality’—namely whether quantum theory and special relativity are formally compatible—, to indicate what the underlying issues are, and put forward ideas about how the problem might be addressed.

  3. Can quantum theory and special relativity peacefully coexist?

    NARCIS (Netherlands)

    Seevinck, M.P.; Briggs, A.

    2010-01-01

    This white paper aims to identify an open problem in ‘Quantum Physics and the Nature of Reality’—namely whether quantum theory and special relativity are formally compatible—, to indicate what the underlying issues are, and put forward ideas about how the problem might be addressed.

  4. A new interpretation of the special theory of relativity

    International Nuclear Information System (INIS)

    Buonomano, V.

    1975-01-01

    Assuming the 'Big Bang' theory as well as the usual axioms in the Special Theory of Relativity, the time dilations and length contractions are treated as real physical effects. This becomes possible by relating everything to the hypothetical frame, Ssub(a), at rest relative to the 'Big Bang' event. This frame in many senses plays the role of the classical aether frame. A clock's real rhythm, as opposed to its rhythm observed by restricted methods, is then a function of its velocity relative to Ssub(a) (assuming a uniform gravitational field). It is further assumed that gravitational radiation is composed of 'electromagnetic-like' waves. Therefore when a clock changes its velocity in a uniform gravitational field it must receive a a different total energy due to the average frequency shift (Doppler effect), the time dilations are then caused by the change in energy due to this frequency shift. That is, no two clocks can be in the 'same' gravitational field unless they have no relative velocity, and therefore the Special Theory of Relativity is a special case of the General Theory from this viewpoint. Two feasible experimental tests, using the Moessbauer effect, are described that would decide on these viewpoints. The principle of equivalence and the 'twin paradox' are also discussed. (author)

  5. Features of projectile motion in the special theory of relativity

    International Nuclear Information System (INIS)

    Shahin, Ghassan Y

    2006-01-01

    A relativistic projectile motion in a vacuum is examined by means of elementary consequences of special relativity. Exact analytical expressions were found for the kinematics variables using basic mathematical tools. The trajectory equation was established and the area under the trajectory traversed by the relativistic projectile was determined. It was found that, unlike non-relativistic projectile motion, the launching angles that maximize both the horizontal range as well as the area under the trajectory are functions of the initial speed. It is anticipated that this paper will be consistent with the intuition of students and serve as a resource for further problems usually encountered in the special theory of relativity

  6. Remarks on doubly special relativity theories and gravity

    International Nuclear Information System (INIS)

    Hinterleitner, F

    2008-01-01

    Modifications of special relativity by the introduction of an invariant energy and/or momentum level (so-called doubly special relativity theories, DSR) or by an energy-momentum dependence of the Planck constant (generalized uncertainty principle, GUP) are compared with classical gravitational effects in an interaction process. For the low-energy limit of the usual formulations of DSR to be equivalent to Newtonian gravity, a restrictive condition is found. GUP yields an effective repulsion, in analogy to gravitational repulsion in loop quantum cosmology

  7. Approximate theory the electromagnetic energy of solenoid in special relativity

    International Nuclear Information System (INIS)

    Prastyaningrum, I; Kartikaningsih, S.

    2017-01-01

    Solenoid is a device that is often used in electronic devices. A solenoid is electrified will cause a magnetic field. In our analysis, we just focus on the electromagnetic energy for solenoid form. We purpose to analyze by the theoretical approach in special relativity. Our approach is begun on the Biot Savart law and Lorentz force. Special theory relativity can be derived from the Biot Savart law, and for the energy can be derived from Lorentz for, by first determining the momentum equation. We choose the solenoid form with the goal of the future can be used to improve the efficiency of the electrical motor. (paper)

  8. Some foundational problems in the special theory of relativity

    International Nuclear Information System (INIS)

    Jammer, M.

    1979-01-01

    Attention is drawn to some of the issues of the foundations of special relativity with the aim of contributing possibly to their clarification. Roemer's determination of the velocity of light is reviewed and important issues on the historical development of the theory outlined. The group-theoretical and light-geometrical approaches are discussed and the nature of length contraction considered. (Auth./C.F.)

  9. Covariant theory of gravitation in the framework of special relativity

    Science.gov (United States)

    Vieira, R. S.; Brentan, H. B.

    2018-04-01

    In this work, we study the magnetic effects of gravity in the framework of special relativity. Imposing covariance of the gravitational force with respect to the Lorentz transformations, we show from a thought experiment that a magnetic-like force must be present whenever two or more bodies are in motion. The exact expression for this gravitomagnetic force is then derived purely from special relativity and the consequences of such a covariant theory are developed. For instance, we show that the gravitomagnetic fields satisfy a system of differential equations similar to the Maxwell equations of electrodynamics. This implies that the gravitational waves spread out with the speed of light in a flat spacetime, which is in agreement with the recent results concerning the gravitational waves detection. We also propose that the vector potential can be associated with the interaction momentum in the same way as the scalar potential is usually associated with the interaction energy. Other topics are also discussed, for example, the transformation laws for the fields, the energy and momentum stored in the gravitomagnetic fields, the invariance of the gravitational mass and so on. We remark that is not our intention here to propose an alternative theory of gravitation but, rather, only a first approximation for the gravitational phenomena, so that it can be applied whenever the gravitational force can be regarded as an ordinary effective force field and special relativity can be used with safety. To make this point clear we present briefly a comparison between our approach and that based on the (linearized) Einstein's theory. Finally, we remark that although we have assumed nothing from the electromagnetic theory, we found that gravity and electricity share many properties in common -these similarities, in fact, are just a requirement of special relativity that must apply to any physically acceptable force field.

  10. Einstein's pathway to the special theory of relativity

    CERN Document Server

    Weinstein, Galina

    2015-01-01

    This book pieces together the jigsaw puzzle of Einstein's journey to discovering the special theory of relativity. Between 1902 and 1905, Einstein sat in the Patent Office and may have made calculations on old pieces of paper that were once patent drafts. One can imagine Einstein trying to hide from his boss, writing notes on small sheets of paper, and, according to reports, seeing to it that the small sheets of paper on which he was writing would vanish into his desk-drawer as soon as he heard footsteps approaching his door. He probably discarded many pieces of papers and calculations and flu

  11. A comment on a proposed ''crucial experiment'' to test Einstein's special theory of relativity

    International Nuclear Information System (INIS)

    Rodrigues Jr, W.A.; Buonamano, V.

    1976-01-01

    A proposed ''crucial experiment'' to test Einstein's special theory of relativity is analysed and it is shown that it falls into the set of unsatisfactory proposals that attempt to make an experimental distinction between Einstein's special theory of relativity and a ''Lorentzian type'' special theory of relativity

  12. Comment on a proposed ''crucial experiment'' to test Einstein's special theory of relativity

    Energy Technology Data Exchange (ETDEWEB)

    Rodrigues, Jr, W A [Universidade Estadual de Campinas (Brazil); Buonamano, V [Universidade Estadual de Campinas (Brazil). Instituto de Matematica

    1976-08-11

    A proposed ''crucial experiment'' to test Einstein's special theory of relativity is analysed and it is shown that it falls into the set of unsatisfactory proposals that attempt to make an experimental distinction between Einstein's special theory of relativity and a ''Lorentzian type'' special theory of relativity.

  13. How to test the special theory of relativity on rotating earth

    International Nuclear Information System (INIS)

    Abolghasem, H.; Khadjehpoor, M.R.; Mansouri, R.

    1988-02-01

    In the framework of a one parameter test theory of special relativity, the difference between Transport- and Einstein synchronization on the rotating earth is calculated. For the special theory of relativity this difference vanishes. Therefore, experiments in which these synchronization procedures are compared, test the special theory of relativity. (author). 8 refs

  14. A modified Lorentz theory as a test theory of special relativity

    Science.gov (United States)

    Chang, T.; Torr, D. G.; Gagnon, D. R.

    1988-01-01

    Attention has been given recently to a modified Lorentz theory (MLT) that is based on the generalized Galilean transformation. Some explicit formulas within the framework of MLT, dealing with the one-way velocity of light, slow-clock transport, and the Doppler effect are derived. A number of typical experiments are analyzed on this basis. Results indicate that the empirical equivalence between MLT and special relativity is still maintained to second order terms. The results of previous works that predict that the MLT might be distinguished from special relativity at the third order by Doppler centrifuge tests capable of a fractional frequency detection threshold of 10 to the -15th are confirmed.

  15. Projective interpretation of some doubly special relativity theories

    International Nuclear Information System (INIS)

    Jafari, N.; Shariati, A.

    2011-01-01

    A class of projective actions of the orthogonal group on the projective space is being studied. It is shown that the Fock-Lorentz and Magueijo-Smolin transformations known as doubly special relativity are such transformations. The formalism easily leads to new types of transformations.

  16. Special relativity

    International Nuclear Information System (INIS)

    Taylor, J.G.

    1975-01-01

    It is stated that the early chapters review special relativity from an elementary mathematical viewpoint, and include discussion of recent experiments which set out to test Einstein's predictions. The theory of relativity is then reformulated in more sophisticated mathematical language to show its relation to electro-magnetism, and to lay the foundation for more general viewpoints. The final chapter discusses in simple terms where activity in the field is currently centred, and where future interest lies. Chapter headings include: the constant speed of light; measuring time and distance; the Lorentz transformation (relativity of simultaneity, space-time and causality); relativistic kinematics (including - the Dopper effect); relativistic dynamics (including - nuclear binding energy, particle creation, electrodynamics); the structure of special relativity (including - the Lorentz group, the rotation group, elementary particle scattering); extensions of special relativity. (U.K.)

  17. Special relativity

    International Nuclear Information System (INIS)

    French, A.P.

    1982-01-01

    This book is an introduction to special relativity theory. After a discussion of the limits of Newton's mechanics and the pecularities in the propagation of light the Lorentz transformation is introduced. Then the measurement of space and time intervals in the framework of relativity theory is considered. Thereafter the addition of velocities and acceleration are considered in this framework. Then relativistic kinematics of particle interactions are described. Then the four-dimensional calculus in space-time coordinates is introduced. Finally an introduction is given to the treatment of the electromagnetic field in the framework of relativity theory. Every chapter contains exercise problems with solutions. This book is suited for all students who want to get some fundamental knowledge about relativity theory. (HSI) [de

  18. On special and general relativity theory. 24. ed.

    International Nuclear Information System (INIS)

    Einstein, Albert

    2009-01-01

    The present booklet shall mediate to such an as possible exact view in relativity theory, who are especially interested for the theory from a generally scientific, philosophical, point of view, without mastering the mathematical apparatus. The lecture presupposes some maturity knowledge and - in spite of the shortness of the booklet - quite much perseverance and strength of mind. The author has token very much efforts in order to present the main thoughts as distinctly and simply as possible, in the whole in such a sequence and in such connection, as it has really been arose. With the aim of distinctiveness it seemed to me unavoidable to repeat myself frequently without paying the smallest regard to the elegance of the presentation; I maintained conscientiously the prescription of the ingenious theoretician L. Boltzmann, elegance should by the object of the taylors ans shoemakers [de

  19. Generalisation of the test theory of special relativity to non-inertial frames

    International Nuclear Information System (INIS)

    Abolghasem, G.H.; Khajehpour, M.R.H.; Mansouri, R.

    1989-01-01

    We present a generalised test theory of special relativity, using a non-inertial frame. Within the framework of the special theory of relativity the transport and Einstein synchronisations are equivalent on a rigidly rotating disc. But in any theory with a preferred frame, such an equivalence does not hold. The time difference resulting from the two synchronisation procedures is a measurable quantity within the reach of existing clock systems on the Earth. The final result contains a term which depends on the angular velocity of the rotating system, and hence measures an absolute effect. This term is of crucial importance in our test theory of special relativity. (Author)

  20. The second postulate of Einstein's theory of special relativity

    International Nuclear Information System (INIS)

    McMorris, M.N.

    1979-01-01

    This paper argues that Einstein in his original publication on special relativity uses two separate principles concerning the velocity of light: (i) its value, c(s), is independent of the motion of its source; (ii) its value, c(o), is independent of the motion of the observer. Where commentators have not been plainly ignorant of the existence of both principles in Einstein's work, they have been uncertain as to which one should be put forward. Uncertainty has arisen in the literature because Einstein occassionally uses constant velocity of light without any qualification. This paper sets out specifically to clear up the uncertainty as to whether c(s) or c(o) is being referred to in the early sections. It is established that c(s) is used right up to the middle of the third section, when c(o) is introduced for the first time. The paper also emphasises that there was no need to introduce c(o) before this point. It clarifies another (neglected) point also, that in so far as Einstein uses c(s), this constancy of the wave propagation is not peculiar to light; but in so far as he uses c(o) it is. The occassion is also taken to point out a contradiction and a logical infelicity occurring in Einstein's paper. The intention here is to show that Einstein's original oaper, at least up to the derivation of the Lorentz transformation equations, was not as satisfactory as it could have been. (auth.)

  1. Special Theory of Relativity in South Korean High School Textbooks and New Teaching Guidelines

    Science.gov (United States)

    Gim, Jinyeong

    2016-01-01

    South Korean high school students are being taught Einstein's Special Theory of Relativity. In this article, I examine the portrayal of this theory in South Korean high school physics textbooks and discuss an alternative method used to solve the analyzed problems. This examination of how these South Korean textbooks present this theory has…

  2. The existence of superluminal particles is consistent with the kinematics of Einstein's special theory of relativity

    OpenAIRE

    Székely, Gergely

    2012-01-01

    Within an axiomatic framework of kinematics, we prove that the existence of faster than light particles is logically independent of Einstein's special theory of relativity. Consequently, it is consistent with the kinematics of special relativity that there might be faster than light particles.

  3. Test theory of special relativity: What it is and why we need it

    International Nuclear Information System (INIS)

    Mansouri, R.

    1988-03-01

    After a critical overview on the traditional way of expressing the accuracy of experiments testing the postulates of the special theory of relativity, the four-parameter test theory is briefly introduced. The existing experiments are then classified and their accuracies are expressed in terms of the parameter of the test theory. By changing the convention of synchronization of distant clocks, it is shown how different equivalent theories can be formulated. (author). 23 refs

  4. Is the special theory of relativity logically inconsistent

    International Nuclear Information System (INIS)

    Honig, W.

    1980-01-01

    The author's aim is to illustrate that the controversial subject of the logical inconsistency of STR is capable of two interpretations. If one retains a fidelity to the Einstein operational assumptions and methods then one may conclude that logical inconsistencies cannot be derived. If however, one wishes to base a theory upon a single world view with a single set of consistent assumptions, then STR is logically inconsistent. This inconsistency is at the present time not operationally evident. The usefulness of this second view is in its heuristic and future usefulness in the elucidation of natural phenomena. It is hoped that this discussion may somewhat reduce the contention and emotion in this field. (Auth.)

  5. Einstein in matrix form exact derivation of the theory of special and general relativity without tensors

    CERN Document Server

    Ludyk, Günter

    2013-01-01

    This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einsteins theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool for scientists and engineers with no experience in the field of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains the Schwarzschild solution of spherical body gravity and examines the "Black Hole" phenomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices.

  6. Einstein in matrix form. Exact derivation of the theory of special and general relativity without tensors

    Energy Technology Data Exchange (ETDEWEB)

    Ludyk, Guenter [Bremen Univ. (Germany). Physics and Electrical Engineering

    2013-11-01

    Derives the fundamental equations of Einstein's theory of special and general relativity using matrix calculus, without the help of tensors. Provides necessary mathematical tools in a user-friendly way, either directly in the text or in the appendices. Appendices contain an introduction to classical dynamics as a refresher of known fundamental physics. Rehearses vector and matrix calculus, differential geometry, and some special solutions of general relativity in the appendices. This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einsteins theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool for scientists and engineers with no experience in the field of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains the Schwarzschild solution of spherical body gravity and examines the ''Black Hole'' phenomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices.

  7. Einstein in matrix form. Exact derivation of the theory of special and general relativity without tensors

    International Nuclear Information System (INIS)

    Ludyk, Guenter

    2013-01-01

    Derives the fundamental equations of Einstein's theory of special and general relativity using matrix calculus, without the help of tensors. Provides necessary mathematical tools in a user-friendly way, either directly in the text or in the appendices. Appendices contain an introduction to classical dynamics as a refresher of known fundamental physics. Rehearses vector and matrix calculus, differential geometry, and some special solutions of general relativity in the appendices. This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einsteins theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool for scientists and engineers with no experience in the field of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains the Schwarzschild solution of spherical body gravity and examines the ''Black Hole'' phenomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices.

  8. Least action principle with unilateral constraints on the velocity in the special theory of relativity

    International Nuclear Information System (INIS)

    Blaquiere, Augustin

    1981-01-01

    A least action principle with unilateral constraints on the velocity is applied to an example in the area of the special theory of relativity. Equations obtained for a particle with non-zero rest-mass, and speed c the speed of light, are those which are usually associated with the photon, namely: the equation of eikonale and the wave equation of d'Alembert. Extension of the theory [fr

  9. The vacuum structure, special relativity theory and quantum mechanics revisited: a field theory-no-geometry approach

    International Nuclear Information System (INIS)

    Bogolubov, N.N. Jr.; Prykarpatsky, A.K.; Ufuk Taneri

    2008-07-01

    The main fundamental principles characterizing the vacuum field structure are formulated and the modeling of the related vacuum medium and charged point particle dynamics by means of de- vised field theoretic tools are analyzed. The Maxwell electrodynamic theory is revisited and newly derived from the suggested vacuum field structure principles and the classical special relativity theory relationship between the energy and the corresponding point particle mass is revisited and newly obtained. The Lorentz force expression with respect to arbitrary non-inertial reference frames is revisited and discussed in detail, and some new interpretations of relations between the special relativity theory and quantum mechanics are presented. The famous quantum-mechanical Schroedinger type equations for a relativistic point particle in the external potential and magnetic fields within the quasiclassical approximation as the Planck constant (h/2π) → 0 and the light velocity c → ∞ are obtained. (author)

  10. "Approaches to the Teaching of Special Relativity Theory in High School and University Textbooks of Argentina"

    Science.gov (United States)

    Arriassecq, Irene; Greca, Ileana Maria

    2007-01-01

    In this work, we presented an analysis of the representation of the special relativity theory (SRT) in the most used texts in high school, Polimodal level and university level in the teaching in the Argentine Republic, from a historic, epistemological and didactic perspective. The results show that none of the analyzed texts would allow a…

  11. Special relativity of non-inertial motions: A complementary theory to Einstein's SR

    International Nuclear Information System (INIS)

    Mocanu, C.I.

    1999-01-01

    In order to describe physical reality a special (gravity-free) relativity is needed that is founded upon general non-uniform motions as they occur in our environment and hold for the non-inertial reference frame of our laboratory. Such a generalized form of special relativity can be build upon an extension, at relativistic velocities, of Maxwell-Hertz electrodynamics (MHE), which is valid for non-uniform motions, but at small velocities only. The new electromagnetic theory called (in honor to Hertz) Hertz's Relativistic Electrodynamics (HRE), is completely independent and built-up in a completely different way as regards Einstein's Special Relativity (ESR). HRE, a coordinate-free formulation does not need postulates, but confirms the constancy principle of speed of light in vacuum. All experiments of first and second order in v/c are correctly interpreted. To this theory a Hertzian kinematics and dynamics are associated. HRE with its corresponding mechanics forms Hertz's Special Relativity (HSR), as a complementary theory to ESR. According to the principle of complementarity and neglecting the gravitational effects, the Extended Special Relativity (ExSR) is a double faced theory which becomes either ESR, when the motion is inertial or HSR when the motion is non-inertial. The complementarity of both theories assumes that the two descriptions cannot be employed for the same motion, being mutually exclusive. Consequently, to every statement of one of the ExSR corresponds a complementary statement of the other ExSR. The completeness of ESR with HSR ensures an extended view over the relativity in our physical world. (author)

  12. Misconceptions in recent papers on special relativity and absolute space theories

    Science.gov (United States)

    Torr, D. G.; Kolen, P.

    1982-01-01

    Several recent papers which purport to substantiate or negate arguments in favor of certain theories of absolute space have been based on fallacious principles. This paper discusses three related instances, indicating where misconceptions have arisen. It is established, contrary to popular belief, that the classical Lorentz ether theory accounts for all the experimental evidence which supports the special theory of relativity. It is demonstrated that the ether theory predicts the null results obtained from pulsar timing and Moessbauer experiments. It is concluded that a measurement of the one-way velocity of light has physical meaning within the context of the Lorentz theory, and it is argued that an adequately designed experiment to measure the one-way velocity of light should be attempted.

  13. How the Laser Helped to Improve the Test of Special Theory of Relativity?

    Science.gov (United States)

    Singh, Satya Pal

    2013-01-01

    In this paper of I have reviewed the test done for validating the special theory of relativity using masers and lasers in last one century. Michelson-Morley did the first experimental verification for the isotropy of space for the propagation of light in 1887. It has an accuracy of 1/100th of a fringe shift. The predicted fringe shift on the basis…

  14. The Viewpoints of Physics Teacher Candidates towards the Concepts in Special Theory of Relativity and Their Evaluation Designs

    Science.gov (United States)

    Turgut, Umit; Gurbuz, Fatih; Salar, Riza; Toman, Ufuk

    2013-01-01

    In this study, the viewpoints of physics teacher candidates at undergraduate level towards the concepts in special theory of relativity and the interpretations they made about these concepts were investigated. The viewpoints of the teacher candidates towards the concepts in the subject of special theory of relativity were revealed with six open…

  15. Special relativity and quantum theory: a collection of papers on the Poincari Group

    International Nuclear Information System (INIS)

    Noz, M.E.; Kim, Y.S.

    1988-01-01

    When the present form of quantum mechanics was formulated in 1927, the most pressing problem was how to make it consistent with special relativity. This still remains a most important and urgent theoretical problem in physics. The underlying language for both disciplines is group theory, and E.P. Wigner's 1939 paper on the Poincari group laid the foundation for unifying the concepts and algorithms of quantum mechanics and special relativity. This volume comprises forty-five papers, including those by P.A.M. Dirac, R.P. Feynman, S. Weinberg, E.P. Wigner and H. Yukawa, covering representations of the Poincari group, time-energy uncertainty relation, covariant pictures of quantum bound states, Lorentz-Dirac deformation in high-enery physics, gauge degrees of freedom for massless particles, group contractions applied to the large-momentum/zero-mass limit, localization problems, and physical applications of the Lorentz group

  16. Special relativity

    CERN Document Server

    Faraoni, Valerio

    2013-01-01

    This book offers an essential bridge between college-level introductions and advanced graduate-level books on special relativity. It begins at an elementary level, presenting and discussing the basic concepts normally covered in college-level works, including the Lorentz transformation. Subsequent chapters introduce the four-dimensional worldview implied by the Lorentz transformations, mixing time and space coordinates, before continuing on to the formalism of tensors, a topic usually avoided in lower-level courses. The book’s second half addresses a number of essential points, including the concept of causality; the equivalence between mass and energy, including applications; relativistic optics; and measurements and matter in Minkowski spacetime. The closing chapters focus on the energy-momentum tensor of a continuous distribution of mass-energy and its covariant conservation; angular momentum; a discussion of the scalar field of perfect fluids and the Maxwell field; and general coordinates. Every chapter...

  17. Didactic derivation of the special theory of relativity from the Klein–Gordon equation

    International Nuclear Information System (INIS)

    Arodź, H

    2014-01-01

    We present a didactic derivation of the special theory of relativity in which Lorentz transformations are ‘discovered’ as symmetry transformations of the Klein–Gordon equation. The interpretation of Lorentz boosts as transformations to moving inertial reference frames is not assumed at the start, but it naturally appears at a later stage. The relative velocity v of two inertial reference frames is defined in terms of the elements of the pertinent Lorentz matrix, and the bound |v|< c is presented as a simple theorem that follows from the structure of the Lorentz group. The polar decomposition of Lorentz matrices is used to explain noncommutativity and nonassociativity of the relativistic composition (‘addition’) of velocities. (paper)

  18. de Sitter special relativity

    International Nuclear Information System (INIS)

    Aldrovandi, R; Almeida, J P Beltran; Pereira, J G

    2007-01-01

    A special relativity based on the de Sitter group is introduced, which is a theory that might hold up in the presence of a non-vanishing cosmological constant. Like ordinary special relativity, it retains the quotient character of spacetime, and a notion of homogeneity. As a consequence, the underlying spacetime will be a de Sitter spacetime, whose associated kinematics will differ from that of ordinary special relativity. The corresponding modified notions of energy and momentum are obtained, and the exact relationship between them, which is invariant under a re-scaling of the involved quantities, explicitly exhibited. Since the de Sitter group can be considered a particular deformation of the Poincare group, this theory turns out to be a specific kind of deformed (or doubly) special relativity. Some experimental consequences, as well as the causal structure of spacetime-modified by the presence of the de Sitter horizon-are briefly discussed

  19. The special theory of Brownian relativity: equivalence principle for dynamic and static random paths and uncertainty relation for diffusion.

    Science.gov (United States)

    Mezzasalma, Stefano A

    2007-03-15

    The theoretical basis of a recent theory of Brownian relativity for polymer solutions is deepened and reexamined. After the problem of relative diffusion in polymer solutions is addressed, its two postulates are formulated in all generality. The former builds a statistical equivalence between (uncorrelated) timelike and shapelike reference frames, that is, among dynamical trajectories of liquid molecules and static configurations of polymer chains. The latter defines the "diffusive horizon" as the invariant quantity to work with in the special version of the theory. Particularly, the concept of universality in polymer physics corresponds in Brownian relativity to that of covariance in the Einstein formulation. Here, a "universal" law consists of a privileged observation, performed from the laboratory rest frame and agreeing with any diffusive reference system. From the joint lack of covariance and simultaneity implied by the Brownian Lorentz-Poincaré transforms, a relative uncertainty arises, in a certain analogy with quantum mechanics. It is driven by the difference between local diffusion coefficients in the liquid solution. The same transformation class can be used to infer Fick's second law of diffusion, playing here the role of a gauge invariance preserving covariance of the spacetime increments. An overall, noteworthy conclusion emerging from this view concerns the statistics of (i) static macromolecular configurations and (ii) the motion of liquid molecules, which would be much more related than expected.

  20. Work in progress Tim Radford on research that aims to find a tiny error in Einstein's theory of special relativity

    CERN Multimedia

    Radford, T

    2004-01-01

    "Ben Varcoe wants to find a relatively small mistake in Einstein's theory of special relativity. To do this, he will slow light down from 300,000 km per second to 10 metres per second - about the speed of Darren Campbell - and see how it behaves" (1 page)

  1. Superposition in quantum and relativity physics: an interaction interpretation of special relativity theory. III

    International Nuclear Information System (INIS)

    Schlegel, R.

    1975-01-01

    With the interaction interpretation, the Lorentz transformation of a system arises with selection from a superposition of its states in an observation-interaction. Integration of momentum states of a mass over all possible velocities gives the rest-mass energy. Static electrical and magnetic fields are not found to form such a superposition and are to be taken as irreducible elements. The external superposition consists of those states that are reached only by change of state of motion, whereas the internal superposition contains all the states available to an observer in a single inertial coordinate system. The conjecture is advanced that states of superposition may only be those related by space-time transformations (Lorentz transformations plus space inversion and charge conjugation). The continuum of external and internal superpositions is examined for various masses, and an argument for the unity of the superpositions is presented

  2. Clocks and special relativity

    International Nuclear Information System (INIS)

    MacRoberts, D.T.

    1980-01-01

    A kinematic theory without precise definitions of the 'space' and 'time' used is an uninterpreted calculus. The definition of 'time' in special relativity is based on light propagation and the 'constant velocity of light' is a tautological consequence of the definition. When this definition is reified in a 'clock' the phenomenon of 'time dilation' occurs, in terms of the defined time, but is not reciprocal between moving systems; the postulate of relativity is not observed. The new definition of time is compatible with an ether theory without the relativity principle. The derivation of the Lorentz transformations, which requires both postulates, is purely formalistic and is not ontologically sound. (Auth.)

  3. Prospective Teachers' Comprehension Levels of Special Relativity Theory and the Effect of Writing for Learning on Achievement

    Science.gov (United States)

    Yildiz, Ali

    2012-01-01

    In the present study, the comprehension levels of special relativity theory in prospective teachers who take the Introduction to Modern Physics lesson in the faculty of education science teaching department and the effect of writing for learning on their achievement is researched. In the research, a control group pre-test post-test…

  4. Addressing Pre-Service Teachers' Understandings and Difficulties with Some Core Concepts in the Special Theory of Relativity

    Science.gov (United States)

    Selcuk, Gamze Sezgin

    2011-01-01

    The aim of this study is to investigate pre-service teachers' understanding of and difficulties with some core concepts in the special theory of relativity. The pre-service teachers (n = 185) from the Departments of Physics Education and Elementary Science Education at Dokuz Eylul University (in Turkey) participated. Both quantitative and…

  5. A Teaching-Learning Sequence for the Special Relativity Theory at High School Level Historically and Epistemologically Contextualized

    Science.gov (United States)

    Arriassecq, Irene; Greca, Ileana Maria

    2012-01-01

    This paper discusses some topics that stem from recent contributions made by the History, the Philosophy, and the Didactics of Science. We consider these topics relevant to the introduction of the Special Relativity Theory (SRT) in high school within a contextualized approach. We offer an outline of a teaching-learning sequence dealing with the…

  6. Students' Understanding of the Special Theory of Relativity and Design for a Guided Visit to a Science Museum

    Science.gov (United States)

    Guisasola, Jenaro; Solbes, Jordi; Barragues, Jose-Ignacio; Morentin, Maite; Moreno, Antonio

    2009-01-01

    The present paper describes the design of teaching materials that are used as learning tools in school visits to a science museum. An exhibition on "A century of the Special Theory of Relativity", in the Kutxaespacio Science Museum, in San Sebastian, Spain, was used to design a visit for first-year engineering students at the university…

  7. Revised Robertson's test theory of special relativity: space-time structure and dynamics

    International Nuclear Information System (INIS)

    Vargas, J.G.; Torr, D.G.

    1986-01-01

    The experimental testing of the Lorentz transformations is based on a family of sets of coordinate transformations that do not comply in general with the principle of equivalence of the inertial frames. The Lorentz and Galilean sets of transformations are the only member sets of the family that satisfy this principle. In the neighborhood of regular points of space-time, all members in the family are assumed to comply with local homogeneity of space-time and isotropy of space in at least one free-falling elevator, to be denoted as Robertson's ab initio rest frame (H.P. Robertson, Rev. Mod. Phys. 21, 378 (1949)). Without any further assumptions, it is shown that Robertson's rest frame becomes a preferred frame for all member sets of the Robertson family except for, again, Galilean and Einstein's relativities. If one now assumes the validity of Maxwell-Lorentz electrodynamics in the preferred frame, a different electrodynamics spontaneously emerges for each set of transformations. The flat space-time of relativity retains its relevance, which permits an obvious generalization, in a Robertson context, of Dirac's theory of the electron and Einstein's gravitation. The family of theories thus obtained constitutes a covering theory of relativistic physics. A technique is developed to move back and forth between Einstein's relativity and the different members of the family of theories. It permits great simplifications in the analysis of relativistic experiments with relevant ''Robertson's subfamilies.'' It is shown how to adapt the Clifford algebra version of standard physics for use with the covering theory and, in particular, with the covering Dirac theory

  8. Elements of relativity theory

    International Nuclear Information System (INIS)

    Lawden, D.F.

    1985-01-01

    The book on elements of relativity theory is intended for final year school students or as an early university course in mathematical physics. Special principle of relativity, lorentz transformation, velocity transformations, relativistic mechanics, and general theory of relativity, are all discussed. (U.K.)

  9. Very special relativity.

    Science.gov (United States)

    Cohen, Andrew G; Glashow, Sheldon L

    2006-07-14

    By very special relativity (VSR) we mean descriptions of nature whose space-time symmetries are certain proper subgroups of the Poincaré group. These subgroups contain space-time translations together with at least a two-parameter subgroup of the Lorentz group isomorphic to that generated by K(x) + J(y) and K(y)- J(x). We find that VSR implies special relativity (SR) in the context of local quantum field theory or of conservation. Absent both of these added hypotheses, VSR provides a simulacrum of SR for which most of the consequences of Lorentz invariance remain wholly or essentially intact, and for which many sensitive searches for departures from Lorentz invariance must fail. Several feasible experiments are discussed for which Lorentz-violating effects in VSR may be detectable.

  10. Special theory of relativity: lectures and applications; Relativite restreinte: cours et applications

    Energy Technology Data Exchange (ETDEWEB)

    Simon, Y

    2004-07-01

    This book is a clear and complete presentation of restricted relativity in which the author follows the historical path from puzzling experimental facts to the building of a new theory. It is shown how scientists had to challenge intuitive notions of time and space to explain and give consistency to experimental results. The text is spread with a lot of explanatory notes that contribute to a better understanding of the topic. This book aims at an audience of people already acquainted with general physics: students, scientists or teachers looking for a pedagogical reference book. This work is divided into 10 chapters: 1) The speed of light; 2) The Galilean transformation and optics; 3) Michelson's experiment and the relativity principle; 4) The Lorentz transformation; 5) Lorentz contraction and time dilation; 6) Relativistic kinematics; 7) Energy and momentum; 8) Relativistic dynamics; 9) Tensor calculus - Space-time, and 10) The invariance of Maxwell equations. (A.C.)

  11. Introduction to special relativity

    International Nuclear Information System (INIS)

    Rindler, W.

    1982-01-01

    This is intended as a text for an introductory course on special relativity; it assumes no prior knowledge of relativity. It is intended for the upper undergraduate level and upwards. The first three chapters take a three-dimensional viewpoint for a simple introduction to topics such as the relativity of simultaneity, length contraction, time dilation, the twin paradox and the appearance of moving objects. For the remaining chapters the strongest possible use is made of four-dimensional techniques. Chapter four deals with space-time, chapters five and six with mechanics and electromagnetism. In these a purely synthetic four-tensor approach is adopted. Pure tensor theory is covered in an appendix. The last chapter is on the mechanics of continua. (U.K.)

  12. Relativity theory - topical

    International Nuclear Information System (INIS)

    Schmutzer, E.

    1979-01-01

    Issued on the occasion of Albert Einstein's 100th birthday the book deals topically with the special and general relativity theory. The latest experiments to confirm the relativity theory are described and the historical development of the theory is presented in detail. Emphasis is given to the disclosure of deep insights into the nature of matter. Of interest to experts in physical and natural sciences and to mathematicians

  13. Accurate measurement of the anomalous magnetic moments of the electron and the muon as a special relativity theory test

    International Nuclear Information System (INIS)

    Jurco, B.; Tolar, J.

    1983-01-01

    The exact experimental measurement of the gyromagnetic factor of the electron and the muon also represent an exact test of the validity of the special relativity theory. The gyromagnetic factor may be measured in two ways: in the magnetic field the resonance frequency is measured for transitions between the Rabi-Landau levels with the opposite spin orientation or precession is observed of the spin of a lepton flying in the magnetic field. The latter method is theoretically analyzed in great detail and described by equations. The measured values are given according to foreign experiments with an accuracy of 1 per mille. (M.D.)

  14. Accurate measurement of the anomalous magnetic moments of the electron and the muon as a special relativity theory test

    Energy Technology Data Exchange (ETDEWEB)

    Jurco, B.; Tolar, J. (Ceske Vysoke Uceni Technicke, Prague (Czechoslovakia). Fakulta Jaderna a Fysikalne Inzenyrska)

    1983-04-01

    The exact experimental measurement of the gyromagnetic factor of the electron and the muon also represent an exact test of the validity of the special relativity theory. The gyromagnetic factor may be measured in two ways: in the magnetic field the resonance frequency is measured for transitions between the Rabi-Landau levels with the opposite spin orientation or precession is observed of the spin of a lepton flying in the magnetic field. The latter method is theoretically analyzed in great detail and described by equations. The measured values are given according to foreign experiments with an accuracy of 1 per mille.

  15. Length standards and the Twin Paradox in the Special Theory of Relativity

    Science.gov (United States)

    Carrubba, James Gasper

    In this Thesis I work towards a discussion of several resolutions of the Twin Paradox by exploring the Lorentz transformations. I begin by asking what it means for a moving length to contract, a question which obviously cannot be divorced from the propagation of length standards from one reference frame to another. I emphasize the conventionality of definitions of length. I go on to argue that it is the imposition of clock synchronization-the conventionality of one-way speeds- and not the effects of acceleration which leads to the asymmetry of light speed observed in Sagnac effect; and further, that this asymmetry leads to apparent paradoxes which are easily resolved when we take into account general covariance. In subsequent discussion of light-speed conventionality, I prove that any transform which preserves synchronization consistent with Michelson-Morley must be a similarity transform; and use this to demonstrate that not all results which appear to depend on Special Relativity actually do. I conclude this Thesis with an argument that the Twin Paradox cannot be resolved consistently if we impose simultaneously all 'physical' conditions which various resolutions impose in part.

  16. Addressing pre-service teachers' understandings and difficulties with some core concepts in the special theory of relativity

    International Nuclear Information System (INIS)

    Selcuk, Gamze Sezgin

    2011-01-01

    The aim of this study is to investigate pre-service teachers' understanding of and difficulties with some core concepts in the special theory of relativity. The pre-service teachers (n = 185) from the Departments of Physics Education and Elementary Science Education at Dokuz Eylul University (in Turkey) participated. Both quantitative and qualitative research methods were used in this study. Students' understanding of and difficulties with core elements (time, length, mass and density) were tested using a paper-and-pencil questionnaire (including four questions) and in-depth interviews after the instruction of related modern physics topics. The analyses of the collected data were based on quantitative and qualitative techniques. The results indicate that pre-service teachers at different academic levels have specific and considerable difficulties with proper time, time dilation, proper length, mass and relativistic density concepts. In this paper, the conclusions of the study and implications for physics teaching are discussed.

  17. Some problems of special theory of relativity. (Concept of relativistic length)

    International Nuclear Information System (INIS)

    Strel'tsov, V.N.

    1977-01-01

    Two available definitions of the concept of length (distance) related (a) to moving the length standard and (b) to sending a light signal (similar to the radar method for measuring distances) are analyzed. Considerations in favour of the preferable use of the (b) definition are discussed. The extension of the (b) definition for fast moving bodies results in the introduction of the definition of relativistic length and volume. The increase of the longitudinal dimensions of fast moving objects is a consequence of the above definition. It should be noted that, e.g., for a rod, the definition corresponds to measurements on the lines orthogonal to the world strip of the given rod. It is shown that the known Michelson-Morley and Throuton-Noble experiments are naturally explained in the framework of the proposed concept of relativistic length. It is also shown that the definition introduced, unlike the conventional one, satisfies the principle of relativity

  18. First-person visualizations of the special and general theory of relativity

    International Nuclear Information System (INIS)

    Kraus, U

    2008-01-01

    Visualizations that adopt a first-person point of view allow observation and, in the case of interactive simulations, experimentation with relativistic scenes. This paper gives examples of three types of first-person visualizations: watching objects that move at nearly the speed of light, being a high-speed observer looking at a static environment and having a look-around near a compact object. I illustrate and explain the main aspects of the visual observations, outline their use in teaching relativity and report on teaching experiences. For teaching purposes, our visualization work is available on the website www.spacetimetravel.org and its German counterpart www.tempolimit-lichtgeschwindigkeit.de. This paper assumes some basic knowledge about relativity on the part of the reader. It addresses instructors of physics at the undergraduate and advanced secondary school level as well as their students

  19. Test of special relativity theory by means of laser spectroscopy on relativistic 7Li+ ions in the ESR

    International Nuclear Information System (INIS)

    Botermann, Benjamin

    2012-01-01

    The invariance under Lorentz transformation of the laws of physics is a fundamental postulate of modern physics and all theories of the fundamental interactions have been stated in a covariant form. Although the theory of Special Relativity (SR) has been tested and confirmed with high accuracy in a large number of experiments, improved tests are of fundamental interest due to the far-reaching relevance of this postulate. Additionally modern attempts of a unified description of the four fundamental interactions point to possible violations of Lorentz invariance. In this context experiments of the Ives-Stilwell type for a test of time dilation play an important role. High resolution laser spectroscopy is applied on relativistic particle beams to investigate the validity of the relativistic Doppler formula - and therefore of the time dilation factor γ. In the course of this thesis an Ives-Stilwell experiment was performed with 7 Li + ions at a velocity of 34 % of the speed of light, which were stored at the experimental storage ring (ESR) of the GSI Helmholtzzentrum fuer Schwerionenforschung. The techniques of Λ- as well as saturation spectroscopy were employed on the 1s2s 3 S 1 →1s2p 3 P 2 transition. By a computer based analysis of the fluorescence detection system and utilization of appropriate edge filters the signal to noise ratio was decisively improved and the application of an additional pump laser allowed for the observation of a saturation signal for the first time. The frequency stability of both laser systems was specified by means of a frequency comb to obtain the highest possible accuracy. The data from the beam times were analyzed in the frameworks of the Robertson-Mansouri-Sexl test theory (RMS) and the Standard Model Extension (SME) and the corresponding upper limits of the relevant test parameters of the assigned theories were calculated. The upper limit of the parameter α was improved by a factor of 4 compared to earlier measurements performed

  20. Is special relativity logically inconsistent

    International Nuclear Information System (INIS)

    Prokhovnik, S.J.

    1980-01-01

    The author gives his view that Special Relativity is logically and mathematically consistent, as well as physically comprehensible if, and only if, it is firmly based on the single assumption of a unique fundamental reference frame for light propagation. The theory and all its results are derivable from this assumption; the Relativity and Light Principles become intelligible consequences of this assumption; the physical significance and source of time dilation and length contraction are made manifest thereby. (Auth.)

  1. On special relativity with cosmological constant

    International Nuclear Information System (INIS)

    Guo Hanying; Huang Chaoguang; Xu Zhan; Zhou Bin

    2004-01-01

    Based on the principle of relativity and the postulate of invariant speed and length, we propose the theory of special relativity with cosmological constant SRc,R, in which the cosmological constant is linked with the invariant length. Its relation with the doubly special relativity is briefly mentioned

  2. Conformal special relativity

    International Nuclear Information System (INIS)

    Maia, M.D.

    2006-01-01

    It is shown that the information loss/recovery theorem based on the ADS/CFT correspondence is not consistent with the stability of the Schwarzschild or Reissner-Nordstrom black holes. Nonetheless, the conformal invariance of Yang-Mills theory points to new relativity principle compatible with quantum unitarity near those black holes

  3. Double Exponential Relativity Theory Coupled Theoretically with Quantum Theory?

    International Nuclear Information System (INIS)

    Montero Garcia, Jose de la Luz; Novoa Blanco, Jesus Francisco

    2007-01-01

    Here the problem of special relativity is analyzed into the context of a new theoretical formulation: the Double Exponential Theory of Special Relativity with respect to which the current Special or Restricted Theory of Relativity (STR) turns to be a particular case only

  4. The Electromagnetic Conception of Nature at the Root of the Special and General Relativity Theories and Its Revolutionary Meaning

    Science.gov (United States)

    Giannetto, Enrico R. A.

    2009-01-01

    The revolution in XX century physics, induced by relativity theories, had its roots within the electromagnetic conception of Nature. It was developed through a tradition related to Brunian and Leibnizian physics, to the German "Naturphilosophie" and English XIXth physics. The electromagnetic conception of Nature was in some way realized by the…

  5. Very special conformal field theories and their holographic duals

    Science.gov (United States)

    Nakayama, Yu

    2018-03-01

    Cohen and Glashow introduced the notion of very special relativity as viable space-time symmetry of elementary particle physics. As a natural generalization of their idea, we study the subgroup of the conformal group, dubbed very special conformal symmetry, which is an extension of the very special relativity. We classify all of them and construct field theory examples as well as holographic realization of the very special conformal field theories.

  6. The theories of relativity

    International Nuclear Information System (INIS)

    Deruelle, N.; Uzan, J.P.

    2014-01-01

    This book is a quite complete route towards general relativity via special relativity with a start point at Newton's mechanics. The mathematical formulation is based on tensors. All the relativistic aspects of only classical physics - it means no quantum mechanics - are exposed. This book is divided into 3 books and each book represents a consistent knowledge of physics at a certain time in the past: in Newton's time, in the second half of the 19. century and today. The advantage of this presentation is to make the reader feels the changes over time in the concepts of time, space, gravity, cosmology. Each book is divided into 3, 4 and 5 parts which are sub-divided into numerous chapters. Book 1: Space, time and gravity in Newton's theory, with part 1: kinematics, part 2: dynamics and part 3: gravity. Book 2: Special relativity and Maxwell's theory, with part 1: kinematics, part 2: dynamics, part 3: electromagnetism and part 4: electrodynamics. And Book 3: General relativity and gravity, with part 1: curved space-time and gravity, part 2: Schwarzschild solution and black holes, part 3: general relativity and experiments, part 4: Friedman-Lemaitre solutions and cosmology, and part 5: elements or Riemann geometry. The 3. book dedicated to general relativity, tackles topics like the relationships between space-time curvature and gravity, Schwarzschild solutions and black holes, gravitational waves, Friedmann-Lemaitre solutions and cosmology, and Riemann geometry. (A.C.)

  7. On the foundations of special theory of relativity - II. (The principle of covariance and a basic inertial frame)

    International Nuclear Information System (INIS)

    Gulati, S.P.; Gulati, S.

    1979-01-01

    An attempt has been made to replace the principle of relativity with the principle of covariance. This amounts to modification of the theory of relativity based on the two postulates (i) the principle of covariance and (ii) the light principle. Some of the fundamental results and the laws of relativistic mechanics, electromagnetodynamics and quantum mechanics are re-examined. The principle of invariance is questioned. (A.K.)

  8. Special Relativity, Causality and Quantum Mechanics - 1

    Indian Academy of Sciences (India)

    postulate of the special theory of relativity (STR) stipulating the ... STR may be a more general principle to orga- nize our ... keep the laws of mechanics invariant in all inertial frames. .... cording to a different set of transformation equations.

  9. Reaction thresholds in doubly special relativity

    International Nuclear Information System (INIS)

    Heyman, Daniel; Major, Seth; Hinteleitner, Franz

    2004-01-01

    Two theories of special relativity with an additional invariant scale, 'doubly special relativity', are tested with calculations of particle process kinematics. Using the Judes-Visser modified conservation laws, thresholds are studied in both theories. In contrast with some linear approximations, which allow for particle processes forbidden in special relativity, both the Amelino-Camelia and Magueijo-Smolin frameworks allow no additional processes. To first order, the Amelino-Camelia framework thresholds are lowered and the Magueijo-Smolin framework thresholds may be raised or lowered

  10. An Alternative Hypothesis for Special Relativity

    Directory of Open Access Journals (Sweden)

    Eckardt H.

    2009-04-01

    Full Text Available An alternative theory being analogous to Einstein’s special theory of relativity is pre- sented. While Einstein based his theory on the relativity principle of motion and con- stancy of the velocity of light, this theory assumes an absolute frame of reference and a general length contraction. Both concepts are taken from general relativity and applied to an asymptotically flat space. This results in a transformation group being differ- ent from the Lorentz transformation and a Eucledian addition theorem of velocitites. The results are in accordance with experiments and long known discrepancies between special relativity and experimental findings are resolved as well as paradoxa being in- troduced by Einstein’s original theory. Physical facts being unintelligible before can be interpreted in the light of the alternative theory.

  11. Special relativity a heuristic approach

    CERN Document Server

    Hassani, Sadri

    2017-01-01

    Special Relativity: A Heuristic Approach provides a qualitative exposition of relativity theory on the basis of the constancy of the speed of light. Using Einstein's signal velocity as the defining idea for the notion of simultaneity and the fact that the speed of light is independent of the motion of its source, chapters delve into a qualitative exposition of the relativity of time and length, discuss the time dilation formula using the standard light clock, explore the Minkowski four-dimensional space-time distance based on how the time dilation formula is derived, and define the components of the two-dimensional space-time velocity, amongst other topics. Provides a heuristic derivation of the Minkowski distance formula Uses relativistic photography to see Lorentz transformation and vector algebra manipulation in action Includes worked examples to elucidate and complement the topic being discussed Written in a very accessible style

  12. Rotating frames in special relativity

    International Nuclear Information System (INIS)

    Strauss, M.

    1979-01-01

    The transformation theory for rotating frames presented in a previous paper is generalized by replacing the usual condition r = R for ωR < c (invariance of radius) by r = Rg(βsub(R)) so that r is now defined for all values of R, 0 <= R <= infinity. This generalization does not affect the kinematic transformation bracetheta, T → bracethetasup(r), bracesup(r) and the result group structure required by the theoretical constraints previously established, provided the old parameter 'r' (=R) is now identified throughout with either r or R; for physical reasons it must be identified with R. The function g, which cannot be fixed by theoretical constraints, determines the degree of geometrical anisotropy in the rotating plane z = const. More specifically, since g enters the expression for the ratio C/D (circumference/diameter) its choice corresponds to the choice of a congruence definition for lengths in radial and tangential directions. While on this (purely geometrical) level g remains undetermined, it can be uniquely determined experimentally on the kinematic level, e.g. by observing in Σsup(ω) the motion of a free particle. Thus the supremacy of kinematics over geometry is explicated by a further instance. At the same time, special relativity theory (SRT) is shown to belong to the class of theories with theoretically unsolvable problems. (author)

  13. A myth for special relativity

    International Nuclear Information System (INIS)

    Epstein, L.

    1983-01-01

    A 'myth' for the special theory of relativity is presented as a series of questions and explanations of them. For example: Why can't one travel faster than light. The reason is that one can't go slower. There is only one speed. Everything is always moving at the speed of light; even if one is at rest in a chair. This is because one is moving through time. Other questions include; Why do clocks moving through space seem to run slower and slower as they travel faster and faster. If a spacecraft is moving through space at half the speed of light how fast would it be perceived moving through time. Why are there three space dimensions but only one time dimension. Why can movement be forward and backwards in space but only forward in time. Myths must explain what is found in nature and what is logically deduced from the myth must be found in nature. Supposing that the myth of special relativity is true makes calculations easier to do and the world easier to understand. (U.K.)

  14. Teaching the basic concepts of the Special Relativity in the secondary school in the framework of the Theory of Conceptual Fields of Vergnaud

    Science.gov (United States)

    Rita Otero, Marıa; Arlego, Marcelo; Prodanoff, Fabiana

    2016-05-01

    In this work, we investigate the conceptualization of the basic aspects of Special Relativity (SR) at secondary school level. We have conducted our research along the lines of the Theory of Conceptual Fields (TCF) proposed by Vergnaud (Vergnaud G., Infancia y Aprendizaje, 36 (2013) 131). The investigation consisted in the design, implementation and evaluation of a didactic sequence specially elaborated to conceptualize the basic aspects of SR. The proposal is composed by eight situations, complemented with a set of exercises. It was carried out in two classrooms with students of the last year of secondary level (17years old, N = 43 . The conceptualization was analyzed in a classroom context, where the selected situations are essential to promote the emergence of the relevant concepts.

  15. Teaching the basic concepts of the Special Relativity in the secondary school in the framework of the Theory of Conceptual Fields of Vergnaud

    International Nuclear Information System (INIS)

    Otero, Maria Rira; Arlego, Marcelo; Prodanoff, F.

    2015-01-01

    In this work, we investigate the conceptualization of the basic aspects of Special Relativity (SR) at secondary school level. We have conducted our research along the lines of the Theory of Conceptual Fields (TCF) proposed by Vergnaud (Vergnaud G., Infancia y Aprendizaje, 36 (2013) 131). The investigation consisted in the design, implementation and evaluation of a didactic sequence specially elaborated to conceptualize the basic aspects of SR. The proposal is composed by eight situations, complemented with a set of exercises. It was carried out in two classrooms with students of the last year of secondary level (17 years old, N = 43). The conceptualization was analyzed in a classroom context, where the selected situations are essential to promote the emergence of the relevant concepts.

  16. Special theory on chemical engineering

    International Nuclear Information System (INIS)

    1987-06-01

    This book give a special description about chemical engineering. The contents of this book are special technique for isolation on introduction and separation by membrane, biochemistry engineering, process system engineering, energy engineering, environment engineering, a high molecular new material, election material and research on surface property of catalyst. It has appendixes on history of transition on Korean chemical engineering text contents and history of the activity of Korea chemical engineering institute.

  17. General very special relativity in Finsler cosmology

    International Nuclear Information System (INIS)

    Kouretsis, A. P.; Stathakopoulos, M.; Stavrinos, P. C.

    2009-01-01

    General very special relativity (GVSR) is the curved space-time of very special relativity (VSR) proposed by Cohen and Glashow. The geometry of general very special relativity possesses a line element of Finsler geometry introduced by Bogoslovsky. We calculate the Einstein field equations and derive a modified Friedmann-Robertson-Walker cosmology for an osculating Riemannian space. The Friedmann equation of motion leads to an explanation of the cosmological acceleration in terms of an alternative non-Lorentz invariant theory. A first order approach for a primordial-spurionic vector field introduced into the metric gives back an estimation of the energy evolution and inflation.

  18. Teaching Special Relativity to Lay Students

    Science.gov (United States)

    Egdall, Ira Mark

    2014-01-01

    In this paper, I describe a lay course in special relativity (SR) given at the Osher Lifelong Learning Institutes (OLLI's) at Florida International University and the University of Miami. Courses are also offered in general relativity quantum theory cosmology the nature of time, and the fine-tuned universe. Each course is presented in six…

  19. Special relativity and space-time geometry.

    Science.gov (United States)

    Molski, M.

    An attempt has been made to formulate the special theory of relativity in a space-time that is explicitly absolute and strictly determines the kinematical characteristics of a particle in uniform translational motion. The approach developed is consistent with Einstein's relativity and permits explanation of the inertia phenomenon.

  20. Teaching Special Relativity without Calculus

    Science.gov (United States)

    Ruby, Lawrence

    2009-01-01

    In 2007 many AAPT members received a booklet that is the first chapter of a physics textbook available on a CD. This book espouses the new educational philosophy of teaching special relativity as the first item in the topic of mechanics. Traditionally, special relativity is part of one or more modern physics chapters at the end of the text, and…

  1. Relativity. The theory and its philosophy

    International Nuclear Information System (INIS)

    Angel, R.B.

    1980-01-01

    An attempt is made to provide a completely self-contained treatment of the philosophical foundations of the theory of relativity. The chapter headings are: mathematical preliminaries; relativity and Newtonian mechanics; the principle of special relativity; empiricism, rationalism and special relativity; special relativity and conventionalism; the commensurability of classical and relativistic mechanics; more mathematics; the path to general relativity; an outline of general relativity; relativity and covariance; spacetime and geometry. (U.K.)

  2. Spatial geometry and special relativity

    DEFF Research Database (Denmark)

    Kneubil, Fabiana Botelho

    2016-01-01

    In this work, it is shown the interplay of relative and absolute entities, which are present in both spatial geometry and special relativity. In order to strengthen the understanding of special relativity, we discuss firstly an instance of geometry and the existence of both frame......-dependent and frame-independent entities. We depart from a subject well known by students, which is the three-dimensional geometric space in order to compare, afterwards, with the treatment of four-dimensional space in the special relativity. The differences and similarities between these two subjects are also...

  3. On Palacios-Gordon's theory of relativity

    International Nuclear Information System (INIS)

    Gulati, P.S.

    1981-01-01

    Since the early days of Einstein's special theory of relativity (1905), it is known that this theory suffers from some epistemological problems. Over the years, many theoreticians have endeavored to overcome these problems, rejecting either the 'Principle of Relativity' or the 'Light Principle'. Palacios and Gordon rejected the former and advanced an alternative theory governed by Voigt's transformation equations (1887). In the present paper, Palacios-Gordon's theory has been critically examined and some of its drawbacks are discovered. It becomes obvious that neither Einstein's special theory of relativity nor Palacios-Gordon's theory of relativity provides a flawless fit to the real world. It is speculated that suitable synthesis of these two theories might resolve all the controversial issues of special theory of relativity. (author)

  4. Symmetry as Bias: Rediscovering Special Relativity

    Science.gov (United States)

    Lowry, Michael R.

    1992-01-01

    This paper describes a rational reconstruction of Einstein's discovery of special relativity, validated through an implementation: the Erlanger program. Einstein's discovery of special relativity revolutionized both the content of physics and the research strategy used by theoretical physicists. This research strategy entails a mutual bootstrapping process between a hypothesis space for biases, defined through different postulated symmetries of the universe, and a hypothesis space for physical theories. The invariance principle mutually constrains these two spaces. The invariance principle enables detecting when an evolving physical theory becomes inconsistent with its bias, and also when the biases for theories describing different phenomena are inconsistent. Structural properties of the invariance principle facilitate generating a new bias when an inconsistency is detected. After a new bias is generated. this principle facilitates reformulating the old, inconsistent theory by treating the latter as a limiting approximation. The structural properties of the invariance principle can be suitably generalized to other types of biases to enable primal-dual learning.

  5. Public Relations in Special Libraries.

    Science.gov (United States)

    Rutkowski, Hollace Ann; And Others

    1991-01-01

    This theme issue includes 11 articles on public relations (PR) in special libraries. Highlights include PR at the Special Libraries Association (SLA); sources for marketing research for libraries; developing a library image; sample PR releases; brand strategies for libraries; case studies; publicizing a consortium; and a bibliography of pertinent…

  6. Special relativity a first encounter

    CERN Document Server

    Giulini, Domenico

    2005-01-01

    Special relativity provides the foundations of our knowledge of space and time. Without it, our understanding of the world, and its place in the universe, would be unthinkable. This book gives a concise, elementary, yet exceptionally modern, introduction to special relativity. It is a gentle yet serious 'first encounter', in that it conveys a true understanding rather than purely reports the basic facts. Only very elementary mathematical knowledge is needed to master it (basichigh-school maths), yet it will leave the reader with a sound understanding of the subject. Special Relativity: A First

  7. The intern structure of special relativity

    International Nuclear Information System (INIS)

    Pierseaux, Y.

    1999-01-01

    The author presents the forgotten fact that in 1905 there were 2 restricted theories of relativity: that of Einstein and that of Poincare. These 2 theories were independently formulated, they are very close to each other but are fundamentally different when we consider their basic principles. Poincare's theory is based on a classical representation of the purely undulatory aspect of light, whereas Einstein stipulates for the quantum aspect of light. Poincare's theory implies the existence of the ether and asserts the primacy of continuity over discontinuity. The author has based his work on a thorough study of the scientific articles in which Poincare and Einstein explained their ideas. The comparison of these 2 theories sheds light on the evolution of concepts on which the whole modern physics is based. An extended bibliography of works published on special relativity or on related topics is given. (A.C.)

  8. Relativity: Special, General, and Cosmological

    International Nuclear Information System (INIS)

    Ellis, G F R

    2005-01-01

    considered study of the properties of horizons. Linearized relativity is dealt with in depth leading to the standard weak field gravitational wave formulae and a study of their effects on test particles, together with a very useful discussion of the analogy between weak gravity and the electromagnetic field. Thus this is a straightforward detailed presentation of both special and general relativity theory and their applications. It has many examples and is well suited as a text on these topics, giving a clear relativists' view all the way through. It does not go into astrophysical or particle physics aspects, which is fine given its focus. Personally I would have liked a bit more emphasis on the geodesic deviation equation on the one hand, and on holonomy (which provides a link into particle gauge theories) on the other. But that is a matter of taste. This is an excellent book, which can be highly recommended. Just one quibble: what is the reason for the blurred picture of Einstein on the cover? The whole point of the book is its clarity: why the implication of this picture that it presents a blurred vision? (book review)

  9. Some Pitfalls in Special Relativity

    Science.gov (United States)

    Chai, An-Ti

    1973-01-01

    The problem of observing a collision between two spaceships is utilized to illustrate the misuse of time dilation and length contraction, and the incorrect description of space-time coordinates in special relativity. (Author/DF)

  10. Special Relativity and its Experimental Foundations

    CERN Document Server

    Yuan Zhong Zhang

    1997-01-01

    This book is divided into two parts. In the first part we introduce the foundations of special relativity, such as, the inertial frame of reference, the definition of simulataneity, and Einstein's two basic hypotheses. We give the main relativistic effects, e.g. the relativity of simultaneity, velocity addition, length-contraction, the apparent shape of a moving body, time-dilation, Doppler effect, and the Thomas precession, In particular, the simultaneity problem and slow transport of clocks are investigated in detail by means of the test theories of special relativity. In the second part, va

  11. Relative Thinking Theory

    OpenAIRE

    Ofer H. Azar

    2005-01-01

    The article presents a theory that I denote “Relative Thinking Theory,” which claims that people consider relative differences and not only absolute differences when making various economics decisions, even in those cases where the rational model dictates that people should consider only absolute differences. The article reviews experimental evidence for this behavior, summarizing briefly several experiments I conducted, as well as some earlier related literature. It then discusses how we can...

  12. Special Relativity And Its Experimental Foundation

    International Nuclear Information System (INIS)

    Yuan Zhong Zhang

    1997-01-01

    This book is divided into two parts. In the first part we introduce the foundations of special relativity, such as, the inertial frame of reference, the definition of simultaneity, and Einstein's two basic hypotheses. We give the main relativistic effects, e.g. the relativity of simultaneity,velocity addition, length-contraction, the apparent shape of a moving body, time-dilation,Doppler effect, and the Thomas precession, In particular, the simultaneity problem and slow transport of clocks are investigated in detail by means of the test theories of special relativity.In the second part, variant types of experiments performed up to now are analyzed and compared to the predictions of special relativity. This shows that the experiments are a test of the two-way speed of light, but not of the one-way speed of light

  13. Relativity theory and gravitation

    International Nuclear Information System (INIS)

    Bondi, H.

    1986-01-01

    The paper on relativity theory and gravitation is presented as a preface to the first of the articles submitted to the Journal on general relativity. Newtonian gravitation and and observation, relativity, and the sources of the gravitational field, are all discussed. (UK)

  14. The geometry of special relativity

    International Nuclear Information System (INIS)

    Parizet, Jean

    2008-01-01

    This book for students in mathematics or physics shows the interest of geometry to understand special relativity as a consequence of invariance of Maxwell equations and of constancy of the speed of light. Space-time is actually provided with a geometrical structure and a physical interpretation: at each observer are associated his own time and his own physical space in which occur events he is concerned with. This leads to a natural approach to special relativity. The Lorentz group and its algebra are then studied by using matrices and the Pauli algebra. Quaternions are also addressed

  15. Nonlinear generalization of special relativity

    International Nuclear Information System (INIS)

    Winterberg, F.

    1985-01-01

    In Poincares axiomatic formulation special relativity is a derived consequence of a true Lorentz contraction, for a rod in absolute motion through a substratum. Furthermore, Lorentz had shown that the rod contraction can be understood by an inverse square law interaction and therefore special relativity derived from more fundamental principles. The derivation by Lorentz shows that the root of the divergence problems is the singular inverse square law. By replacing the inverse square law with a regular one through the introduction of a finite length, the author has succeeded in deriving a nonlinear generalization of special relativity which eliminates all infinities. Besides the relative velocities, these nonlinear transformation equations also contain absolute velocities against a substratum, but in the limit of small energies they go over into the linear Lorentz transformations. Depending on the smallness of the fundamental length, departures from special relativity can be observed only at very high energies. The theorem that the velocity of light is the same in all reference systems still holds and likewise the conservation laws for energy and momentum

  16. Theory of relations

    CERN Document Server

    Fraïssé, R

    2011-01-01

    The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams. This leads to the fundamental Laver's embeddability theorem for scattered chains, using Nash-Williams' better quasi-orderings, barriers and forerunning.The second part (chapters 9 to 12) extends to general relations the main notions and results from order-type theory. An important connection appears with permutation theory (Cameron, Pouzet, Livingstone and Wagner) and with logics (existence criter

  17. Special relativity induced by granular space

    International Nuclear Information System (INIS)

    Jizba, Petr; Scardigli, Fabio

    2013-01-01

    We show that the special relativistic dynamics, when combined with quantum mechanics and the concept of superstatistics, can be interpreted as arising from two interlocked non-relativistic stochastic processes that operate at different energy scales. This framework leads to Feynman amplitudes that are, in the Euclidean regime, identical to the transition probability of a Brownian particle propagating through a granular space. For illustration we consider the dynamics and the propagator of a Klein-Gordon particle. Implications for deformed special relativity, quantum field theory, quantum gravity and cosmology are also discussed. (orig.)

  18. Special relativity - from particles to astrophysics

    International Nuclear Information System (INIS)

    Gourgoulhon, E.

    2010-01-01

    Special relativity is not a particular theory of physics but rather a theoretical framework through which various dynamical theories can be expressed. The main advantage of this book is to highlight the essential structures of special relativity before illustrating them with applications. One of these structures is the important Minkowski 4-dimensional space-time whose basic object is the quadri-vector. This mathematical framework is defined as early as the first chapter, which gives special relativity a more axiomatic approach than in other manuals. Another feature of this account of special relativity is to base the discussion of measurable physics effects on the point of view of a general observer who is no more restricted to be in a uniform motion, he can be accelerating or rotating. As a consequence the Lorentz transformation appears here less essential than in other presentations. In the second part of this book that begins with the 14. chapter, the main physical object is no more a particle but a field. The book ends with the issue of gravitation. The author highlights applications from particle physics (accelerators, particle collisions or quark-gluon plasmas), to astrophysics (relativistic jets or active cores of galaxies) via more practical applications such as Sagnac effect gyro-meters, synchrotron radiation or global positioning systems. (A.C.)

  19. Performativity: The Special and the General Theory

    Directory of Open Access Journals (Sweden)

    Sonia Reverter-Bañón

    2017-07-01

    Full Text Available If in Gender Trouble (1990 Butler presented a proposal of the theory of performativity of speech acts applied to the construction of gender, in her last book, Notes towards a Performative Theory of Assembly (2015, she articulates a theory of performativity applied to collective and concerted action of minorities or populations that are estimated to be “disposable”. The interest of the proposal that we present in this paper is to analyze how the theory of performativity of gender is now extended to the forms of democratic action; going from being a structure that explains the possibilities of gender to explain the possibilities for a livable life. It is what we call here the extension of performativity, from the special case of gender to the general case of a livable life.

  20. Special functions and the theory of group representations

    CERN Document Server

    Vilenkin, N Ja

    1968-01-01

    A standard scheme for a relation between special functions and group representation theory is the following: certain classes of special functions are interpreted as matrix elements of irreducible representations of a certain Lie group, and then properties of special functions are related to (and derived from) simple well-known facts of representation theory. The book combines the majority of known results in this direction. In particular, the author describes connections between the exponential functions and the additive group of real numbers (Fourier analysis), Legendre and Jacobi polynomials and representations of the group SU(2), and the hypergeometric function and representations of the group SL(2,R), as well as many other classes of special functions.

  1. Quantum relativity theory

    International Nuclear Information System (INIS)

    Banai, M.

    1983-11-01

    A quantum relativity theory formulated in terms of Davis' quantum relativity principle is outlined. The first task in this theory as in classical relativity theory is to model space-time, the arena of natural processes. It is argued that the quantum space-time models of Banai introduced in an earlier paper is formulated in terms of Davis' quantum relativity. Then it is shown that the recently proposed classical relativistic quantum theory of Prugovecki and his corresponding classical relativistic quantum model of space-time open the way to introduce in a consistent way the quantum space-time model (the 'canonically quantized Minkowski space') proposed by Banai earlier. The main new aspect of the quantum mechanics of the quantum relativistic particles is, in this model of space-time, that it provides a true mass eigenvalue problem and, that the excited mass states of such particles can be interpreted as classifically relativistic (massive) quantum particles ('elementary particles'). The question of field theory over quantum relativistic models of space-time is also discussed. Finally, it is suggested that 'quarks' should be considered as quantum relativistic particles. (author)

  2. Steinberg ``AUDIOMAPS" Music Appreciation-Via-Understanding: Special-Relativity + Expectations "Quantum-Theory": a Quantum-ACOUSTO/MUSICO-Dynamics (QA/MD)

    Science.gov (United States)

    Steinberg, R.; Siegel, E.

    2010-03-01

    ``AUDIOMAPS'' music enjoyment/appreciation-via-understanding methodology, versus art, music-dynamics evolves, telling a story in (3+1)-dimensions: trails, frames, timbres, + dynamics amplitude vs. music-score time-series (formal-inverse power- spectrum) surprisingly closely parallels (3+1)-dimensional Einstein(1905) special-relativity ``+'' (with its enjoyment- expectations) a manifestation of quantum-theory expectation- values, together a music quantum-ACOUSTO/MUSICO-dynamics (QA/MD). Analysis via Derrida deconstruction enabled Siegel- Baez ``Category-Semantics'' ``FUZZYICS''=``CATEGORYICS (``SON of 'TRIZ") classic Aristotle ``Square-of-Opposition" (SoO) DEduction-logic, irrespective of Boon-Klimontovich versus Voss- Clark[PRL(77)] music power-spectrum analysis sampling- time/duration controversy: part versus whole, shows that ``AUDIOMAPS" QA/MD reigns supreme as THE music appreciation-via- analysis tool for the listener in musicology!!! Connection to Deutsch-Hartmann-Levitin[This is Your Brain on Music,(2006)] brain/mind-barrier brain/mind-music connection is both subtle and compelling and immediate!!!

  3. Steinberg ``AUDIOMAPS'' Music Appreciation-Via-Understanding: Special-Relativity + Expectations ``Quantum-Theory'': a Quantum-ACOUSTO/MUSICO-Dynamics (QA/MD)

    Science.gov (United States)

    Fender, Lee; Steinberg, Russell; Siegel, Edward Carl-Ludwig

    2011-03-01

    Steinberg wildly popular "AUDIOMAPS" music enjoyment/appreciation-via-understanding methodology, versus art, music-dynamics evolves, telling a story in (3+1)-dimensions: trails, frames, timbres, + dynamics amplitude vs. music-score time-series (formal-inverse power-spectrum) surprisingly closely parallels (3+1)-dimensional Einstein(1905) special-relativity "+" (with its enjoyment-expectations) a manifestation of quantum-theory expectation-values, together a music quantum-ACOUSTO/MUSICO-dynamics(QA/MD). Analysis via Derrida deconstruction enabled Siegel-Baez "Category-Semantics" "FUZZYICS"="CATEGORYICS ('TRIZ") Aristotle SoO DEduction , irrespective of Boon-Klimontovich vs. Voss-Clark[PRL(77)] music power-spectrum analysis sampling-time/duration controversy: part versus whole, shows QA/MD reigns supreme as THE music appreciation-via-analysis tool for the listener in musicology!!! Connection to Deutsch-Hartmann-Levitin[This is Your Brain on Music, (06)] brain/mind-barrier brain/mind-music connection is subtle/compelling/immediate!!!

  4. Quantum information and relativity theory

    International Nuclear Information System (INIS)

    Peres, Asher; Terno, Daniel R.

    2004-01-01

    This article discusses the intimate relationship between quantum mechanics, information theory, and relativity theory. Taken together these are the foundations of present-day theoretical physics, and their interrelationship is an essential part of the theory. The acquisition of information from a quantum system by an observer occurs at the interface of classical and quantum physics. The authors review the essential tools needed to describe this interface, i.e., Kraus matrices and positive-operator-valued measures. They then discuss how special relativity imposes severe restrictions on the transfer of information between distant systems and the implications of the fact that quantum entropy is not a Lorentz-covariant concept. This leads to a discussion of how it comes about that Lorentz transformations of reduced density matrices for entangled systems may not be completely positive maps. Quantum field theory is, of course, necessary for a consistent description of interactions. Its structure implies a fundamental tradeoff between detector reliability and localizability. Moreover, general relativity produces new and counterintuitive effects, particularly when black holes (or, more generally, event horizons) are involved. In this more general context the authors discuss how most of the current concepts in quantum information theory may require a reassessment

  5. Special Relativity and the Michelson-Morley Experiment.

    Science.gov (United States)

    Chapman, Bryan R.

    1979-01-01

    Presents selective and representative evidence relating to the genesis of the theory of special relativity. The evidence seems to defy most of the philosophic preconceptions which many physics teachers appear to have about the nature of physics. (GA)

  6. Special relativity at the quantum scale.

    Directory of Open Access Journals (Sweden)

    Pui K Lam

    Full Text Available It has been suggested that the space-time structure as described by the theory of special relativity is a macroscopic manifestation of a more fundamental quantum structure (pre-geometry. Efforts to quantify this idea have come mainly from the area of abstract quantum logic theory. Here we present a preliminary attempt to develop a quantum formulation of special relativity based on a model that retains some geometric attributes. Our model is Feynman's "checker-board" trajectory for a 1-D relativistic free particle. We use this model to guide us in identifying (1 the quantum version of the postulates of special relativity and (2 the appropriate quantum "coordinates". This model possesses a useful feature that it admits an interpretation both in terms of paths in space-time and in terms of quantum states. Based on the quantum version of the postulates, we derive a transformation rule for velocity. This rule reduces to the Einstein's velocity-addition formula in the macroscopic limit and reveals an interesting aspect of time. The 3-D case, time-dilation effect, and invariant interval are also discussed in term of this new formulation. This is a preliminary investigation; some results are derived, while others are interesting observations at this point.

  7. Special relativity at the quantum scale.

    Science.gov (United States)

    Lam, Pui K

    2014-01-01

    It has been suggested that the space-time structure as described by the theory of special relativity is a macroscopic manifestation of a more fundamental quantum structure (pre-geometry). Efforts to quantify this idea have come mainly from the area of abstract quantum logic theory. Here we present a preliminary attempt to develop a quantum formulation of special relativity based on a model that retains some geometric attributes. Our model is Feynman's "checker-board" trajectory for a 1-D relativistic free particle. We use this model to guide us in identifying (1) the quantum version of the postulates of special relativity and (2) the appropriate quantum "coordinates". This model possesses a useful feature that it admits an interpretation both in terms of paths in space-time and in terms of quantum states. Based on the quantum version of the postulates, we derive a transformation rule for velocity. This rule reduces to the Einstein's velocity-addition formula in the macroscopic limit and reveals an interesting aspect of time. The 3-D case, time-dilation effect, and invariant interval are also discussed in term of this new formulation. This is a preliminary investigation; some results are derived, while others are interesting observations at this point.

  8. Abelian 2-form gauge theory: special features

    International Nuclear Information System (INIS)

    Malik, R P

    2003-01-01

    It is shown that the four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory provides an example of (i) a class of field theoretical models for the Hodge theory, and (ii) a possible candidate for the quasi-topological field theory (q-TFT). Despite many striking similarities with some of the key topological features of the two (1 + 1)-dimensional (2D) free Abelian (and self-interacting non-Abelian) gauge theories, it turns out that the 4D free Abelian 2-form gauge theory is not an exact TFT. To corroborate this conclusion, some of the key issues are discussed. In particular, it is shown that the (anti-)BRST and (anti-)co-BRST invariant quantities of the 4D 2-form Abelian gauge theory obey recursion relations that are reminiscent of the exact TFTs but the Lagrangian density of this theory is not found to be able to be expressed as the sum of (anti-)BRST and (anti-)co-BRST exact quantities as is the case with the topological 2D free Abelian (and self-interacting non-Abelian) gauge theories

  9. The principle of relativity and the indeterminacy of special relativity

    Science.gov (United States)

    de Abreu, Rodrigo; Guerra, Vasco

    2008-01-01

    This work ends a trilogy devoted to a journey into the foundations of special relativity. The first paper debated the meaning of the constancy of the two-way speed of light and its close relation to the conceptualization of time. The second one addressed the question of the possible constancy of the one-way speed of light and the trivial—but, unfortunately, even now somewhat controversial—question of the compatibility between the assumption of a special system of reference and Einstein's special relativity. The present study deals with the principle of relativity. Its historical evolution is reviewed and a 'weak' formulation is defended. It is emphasized that many assertions usually associated with special relativity, such as the 'relativity of time dilation' and 'relativity of space contraction' are indeed philosophical statements, as it has been established already by several authors in the past. Nonetheless, most teachers and scientists still believe nowadays they are implied by the theory and by the group property of the Lorentz transformation. This is by no means so, as it is reviewed and elucidated with the simple example on space contraction. It is argued that the lack of knowledge of the true value of the one-way speed of light in empty space leaves the theory undetermined. Einstein's special relativity corresponds to a simple and very elegant solution to this problem, allowing the study of relative motion without any concern with the study of absolute motion, which is considered to be superfluous. However, its standard interpretation is minimalist and even misleading. A large number of researchers have discussed this question, mostly within the conventionality of simultaneity thesis. The typical formulation of this thesis provides some new physical insight and points out the problem, but does not solve it. In contrast, it often leads to a labyrinth of difficult language which is herein clarified.

  10. The principle of relativity and the indeterminacy of special relativity

    International Nuclear Information System (INIS)

    Abreu, Rodrigo de; Guerra, Vasco

    2008-01-01

    This work ends a trilogy devoted to a journey into the foundations of special relativity. The first paper debated the meaning of the constancy of the two-way speed of light and its close relation to the conceptualization of time. The second one addressed the question of the possible constancy of the one-way speed of light and the trivial-but, unfortunately, even now somewhat controversial-question of the compatibility between the assumption of a special system of reference and Einstein's special relativity. The present study deals with the principle of relativity. Its historical evolution is reviewed and a 'weak' formulation is defended. It is emphasized that many assertions usually associated with special relativity, such as the 'relativity of time dilation' and 'relativity of space contraction' are indeed philosophical statements, as it has been established already by several authors in the past. Nonetheless, most teachers and scientists still believe nowadays they are implied by the theory and by the group property of the Lorentz transformation. This is by no means so, as it is reviewed and elucidated with the simple example on space contraction. It is argued that the lack of knowledge of the true value of the one-way speed of light in empty space leaves the theory undetermined. Einstein's special relativity corresponds to a simple and very elegant solution to this problem, allowing the study of relative motion without any concern with the study of absolute motion, which is considered to be superfluous. However, its standard interpretation is minimalist and even misleading. A large number of researchers have discussed this question, mostly within the conventionality of simultaneity thesis. The typical formulation of this thesis provides some new physical insight and points out the problem, but does not solve it. In contrast, it often leads to a labyrinth of difficult language which is herein clarified

  11. Gravity, general relativity theory and alternative theories

    International Nuclear Information System (INIS)

    Zel'dovich, Ya.B.; Grishchuk, L.P.; Moskovskij Gosudarstvennyj Univ.

    1986-01-01

    The main steps in plotting the current gravitation theory and some prospects of its subsequent development are reviewed. The attention is concentrated on a comparison of the relativistic gravitational field with other physical fields. Two equivalent formulations of the general relativity (GR) - geometrical and field-theoretical - are considered in detail. It is shown that some theories of gravity constructed as the field theories at a flat background space-time are in fact just different formulations of GR and not alternative theories

  12. Kinematics in special and general relativity

    International Nuclear Information System (INIS)

    Woodside, R.W.M.

    1979-05-01

    This thesis investigates the problem of motion for extended bodies from the viewpoint of classical field theory, where the classical field is the body's energy-momentum or matter tensor. In special relativity a symmetric and divergence-free matter tensor combined with inertial frames is used to generate a kinematics for extended bodies. In general relativity the author suggests an analogous kinematics and applies it to the simplest non-trivial example of static, spherical stars, looking for special sets of vector fields whose matter currents are conserved. Such a set of ten vector fields defines a special frame, and integrals of the conserved matter currents define ten momenta whcih give the kinematics. Application of de Rham cohomology theory shows that the conserved matter currents for isolated bodies will have mechanical potentials which enable the momenta to be found from flux integrals evaluated in the vacuum region surrounding the body. These potentials contain the full Riemann curvature, allowing a body's general relativistic momenta to be determined by its vacuum graviational field

  13. The end of International Relations theory?

    DEFF Research Database (Denmark)

    Dunne, Tim; Hansen, Lene; Wight, Colin

    2013-01-01

    With a view to providing contextual background for the Special Issue, this opening article analyses several dimensions of ‘The end of International Relations theory?’ It opens with a consideration of the status of different types of theory. Thereafter, we look at the proliferation of theories...... to the alternatives currently being practised: integrative pluralism. The article ends on a cautiously optimistic note: given the disciplinary competition that now exists in relation to explaining and understanding global social forces, International Relations may find resilience because it has become theory...

  14. Newton to Einstein the trail of light: an excursion to the wave-particle duality and the special theory of relativity

    International Nuclear Information System (INIS)

    Borcherds, Peter

    2002-01-01

    This book developed from a well received course given by the author to first year students at Wesleyan University, Connecticut. The book starts with a discussion of reflection, refraction and rainbows, goes on to general properties of waves, interference and diffraction, and then on to special relativity, the twin effect and the Lorentz transformation, with a digression on radioactivity. There are numerous excellent diagrams, and the mathematics (all pre-calculus) is presented very clearly. The following are a few quotations from the book intended to give some idea of its coverage. In the preface 'Demonstrations are a vital part of my teaching, and that is one reason why I so often teach about light: the demonstrations work (for there is no friction), and they are often beautiful. When I ask my students for advice about the course, one of the questions has been this: If there has been a topic or demonstration that you particularly enjoyed, tell me that, too. [One] student had this to say in response: 'Mostly, the demonstrations are a GREAT way of seeing what you say - without them, I don't know how I'd learn any of it, or believe you.' I agree, and I wouldn't know how to give a lecture without some props. Beyond that, all of us enjoy the demonstrations and they provide something to look forward to when the alarm clock goes off for an early morning class.' There appears to be a regrettable recent tendency to move away from real demonstrations towards computer simulations. If this book achieves nothing other than encouraging the use of demonstrations, it will have made a valuable contribution. And for a do-it-yourself demonstration, the author points out that 'You do not need any special apparatus to see single-slit interference. A street light or even a car headlight at 100 meters can serve as a light source. Your index and middle fingers...form the slit...'. If you need more details see the book. Another do-it-yourself demonstration of interference is to observe

  15. Quantum gauge freedom in very special relativity

    Energy Technology Data Exchange (ETDEWEB)

    Upadhyay, Sudhaker, E-mail: sudhakerupadhyay@gmail.com [Centre for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur-721302, West Bengal (India); Panigrahi, Prasanta K., E-mail: pprasanta@iiserkol.ac.in [Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, West Bengal (India)

    2017-02-15

    We demonstrate Yokoyama gaugeon formalism for the Abelian one-form gauge (Maxwell) as well as for Abelian two-form gauge theory in the very special relativity (VSR) framework. In VSR scenario, the extended action due to introduction of gaugeon fields also possesses form invariance under quantum gauge transformations. It is observed that the gaugeon field together with gauge field naturally acquire mass, which is different from the conventional Higgs mechanism. The quantum gauge transformation implements a shift in gauge parameter. Further, we analyze the BRST symmetric gaugeon formalism in VSR which embeds only one subsidiary condition rather than two.

  16. Special relativity as an open question

    International Nuclear Information System (INIS)

    Albert, D.Z.

    2000-01-01

    There seems to me to be a way of reading some of the trouble we have lately been having with the quantum-mechanical measurement problem (not the standard way, mind you, and certainly not the only way; but a way that nonetheless be worth exploring) that suggests that there are fairly prosaic physical circumstances under which it might not be entirely beside the point to look around for observable violations of the special theory of relativity. The suggestion I have in mind is connected with attempts over the past several years to write down a relativistic field-theoretic version of the dynamical reduction theory of Ghirardi, Rimini, and Weber [Physical Review D34, 470-491 (1986)], or rather it is connected with the persistent failure of those attempts, it is connected with the most obvious strategy for giving those attempts up. And that (in the end) is what this paper is going to be about. (orig.)

  17. Special Relativity - A First Encounter

    International Nuclear Information System (INIS)

    Gough, W

    2005-01-01

    In the Einstein Centenary, it is no surprise to find a new book on relativity. But the competition is very strong, since there already exist so many texts on special relativity, and one must look for strong features in a new book. One great attraction of Giulini's book is that it succinctly contains all the essentials of special relativity within a mere 153 pages. In writing a text on relativity there are two possible approaches. Firstly, one could adopt a formal mathematical line. This has the advantage of satisfying the purist and convincing him/her of the generality of the results, but can suffer from failing to convey much insight into the subject. Secondly, the mathematics can be kept to a minimum, with emphasis on Gedanken experiments to illustrate the concepts. This has the advantage of appealing to the reader who is less mathematically minded, and of making the concepts clearer, but the arguments can be more difficult to follow than a straight mathematical account. Combining both approaches would necessarily add to its length. Giulini takes the second approach. Mathematics is minimized, but all the important results, particularly the Lorentz transformations, are carefully explained. At whom is the book aimed? A layman would have no trouble with the early part, but would probably find that it then became too difficult. However, it would be particularly suitable for an undergraduate meeting relativity for the first time, perhaps as supplementary reading to a more mathematical course. Many of the topics are as expected. There is an interesting historical background, followed by the Michelson-Morley experiment, length contraction, time dilation, simultaneity and the Lorentz transformations. These are derived by tightly knit arguments which are convincing without being unnecessarily wordy. It is also pleasing to find a brief section on the transformations of the electric and magnetic fields (but for brevity these are not proved). A chapter on applications

  18. How History Helped Einstein in Special Relativity

    Science.gov (United States)

    Martinez, Alberto

    2013-04-01

    I will discuss how the German intellectual movement known as ``critical history'' motivated several physicists in the late 1900s to radically analyze the fundamental principles of mechanics, leading eventually to Einstein's special theory of relativity. Eugen Karl Dühring, Johann Bernhard Stallo, Ludwig Lange, and Ernst Mach wrote critical histories of mechanics, some of which emphasized notions of relativity and observation, in opposition to old metaphysical concepts that seemed to infect the foundations of physics. This strand of critical history included the ``genetic method'' of analyzing how concepts develop over time, in our minds, by way of ordinary experiences, which by 1904 was young Albert Einstein's favorite approach for examining fundamental notions. Thus I will discuss how history contributed in Einstein's path to relativity, as well as comment more generally on Einstein's views on history.

  19. UN MODÈLE PLATONICIEN (EUCLIDIEN-PROJECTIF) POUR LA THÉORIE DE LA RELATIVITÉ RESTREINTE A Platonic model (Euclidean-projective) for the special theory of relativity

    OpenAIRE

    Jégat , Alain

    2014-01-01

    The usual framework for Einstein’s special theory of relativity is the pseudo-euclidean spacetime proposed by Hermann Minkowski. This article aims at proposing a different model.The framework is an euclidean four-dimensional space in which all the objects move regularly (it means that, between two observations, whatever their trajectories, they cover the same distance), but where the events are seen in projection according to a privileged direction, as we are going to explain. The remark, rat...

  20. Relativity the theory and its philosophy

    CERN Document Server

    Angel, Roger B

    1980-01-01

    Relativity: The Theory and its Philosophy provides a completely self-contained treatment of the philosophical foundations of the theory of relativity. It also surveys the most essential mathematical techniques and concepts that are indispensable to an understanding of the foundations of both the special and general theories of relativity. In short, the book includes a crash course in applied mathematics, ranging from elementary trigonometry to the classical tensor calculus.Comprised of 11 chapters, this book begins with an introduction to fundamental mathematical concepts such as sets, relatio

  1. Special relativity. An introduction with 200 problems and solutions

    International Nuclear Information System (INIS)

    Tsamparlis, Michael

    2010-01-01

    This textbook develops Special Relativity in a systematic way assuming no prior knowledge of Relativity; however the student is assumed to be familiar with the basics of the standard vector calculus. The approach is structural in the sense that it develops Special Relativity in Minkowski space following the same steps with the development of Newtonian Physics in Euclidian space. A second characteristic of the book is that it discusses the mathematics of the theory independently of the physical principles, so that the reader will appreciate its role in the development of the physical theory. The book is intended to be used both as a text-book for a teaching course in Special Relativity but also as a reference book for the future. In that respect it is linked to an online repository with more than 500 problems, carefully classified according to subject area and solved in detail, providing an independent problem book on Special Relativity. (orig.)

  2. Special relativity. An introduction with 200 problems and solutions

    Energy Technology Data Exchange (ETDEWEB)

    Tsamparlis, Michael [Athens Univ., Zografos (Greece). Dept. of Astrophysics, Astronomy and Mechanics

    2010-07-01

    This textbook develops Special Relativity in a systematic way assuming no prior knowledge of Relativity; however the student is assumed to be familiar with the basics of the standard vector calculus. The approach is structural in the sense that it develops Special Relativity in Minkowski space following the same steps with the development of Newtonian Physics in Euclidian space. A second characteristic of the book is that it discusses the mathematics of the theory independently of the physical principles, so that the reader will appreciate its role in the development of the physical theory. The book is intended to be used both as a text-book for a teaching course in Special Relativity but also as a reference book for the future. In that respect it is linked to an online repository with more than 500 problems, carefully classified according to subject area and solved in detail, providing an independent problem book on Special Relativity. (orig.)

  3. Special Relativity An Introduction with 200 Problems and Solutions

    CERN Document Server

    Tsamparlis, Michael

    2010-01-01

    This textbook develops Special Relativity in a systematic way assuming no prior knowledge of Relativity; however the student is assumed to be familiar with the basics of the standard vector calculus. The approach is structural in the sense that it develops Special Relativity in Minkowski space following the same steps with the development of Newtonian Physics in Euclidian space. A second characteristic of the book is that it discusses the mathematics of the theory independently of the physical principles, so that the reader will appreciate its role in the development of the physical theory. The book is intended to be used both as a text-book for a teaching course in Special Relativity but also as a reference book for the future. In that respect it is linked to an online repository with more than 500 problems, carefully classified according to subject area and solved in detail, providing an independent problem book on Special Relativity.

  4. Hundres Years of Theory of Relativity

    Directory of Open Access Journals (Sweden)

    Jaroslav Franek

    2005-01-01

    Full Text Available In 2005, all civilised worl will remind the 100 years anniversary of Publishing the original work on special theory of relativity by Albert Einstein. This contribution is a brief review of its principial ideas in the field of electrodynamics.

  5. Angularly Deformed Special Relativity and its Results for Quantum Mechanics

    OpenAIRE

    Glinka, Lukasz Andrzej

    2015-01-01

    In this paper, the deformed Special Relativity, which leads to an essentially new theoretical context of quantum mechanics, is presented. The formulation of the theory arises from a straightforward analogy with the Special Relativity, but its foundations are laid through the hypothesis on breakdown of the velocity-momentum parallelism which affects onto the Einstein equivalence principle between mass and energy of a relativistic particle. Furthermore, the derivation is based on the technique ...

  6. Generalization of the test theory of relativity to noninertial frames

    International Nuclear Information System (INIS)

    Abolghasem, G.H.; Khajehpour, M.R.H.; Mansouri, R.

    1988-08-01

    We present a generalized test theory of special relativity, using a noninertial frame. Within the framework of the special theory of relativity the transport- and Einstein-synchronizations are equivalent on a rigidly rotating disk. But in any theory with a preferred frame such an equivalence does not hold. The time difference resulting from the two synchronization procedures is a measurable quantity within the reach of existing clock systems on the earth. The final result contains a term which depends on the angular velocity of the rotating system, and hence measures an absolute effect. This term is of crucial importance in our test theory of the special relativity. (author). 13 refs

  7. Special Relativity and Magnetism in an Introductory Physics Course

    Science.gov (United States)

    Piccioni, R. G.

    2007-01-01

    Too often, students in introductory courses are left with the impression that Einstein's special theory of relativity comes into play only when the relative speed of two objects is an appreciable fraction of the speed of light ("c"). In fact, relativistic length contraction, along with Coulomb's law, accounts quantitatively for the force on a…

  8. Special Relativity in Week One: 2) All Clocks Run Slow

    Science.gov (United States)

    Huggins, Elisha

    2011-01-01

    In our initial article on teaching special relativity in the first week of an introductory physics course, we used the principle of relativity and Maxwell's theory of light to derive Einstein's second postulate (that the speed of light is the same to all observers). In this paper we study thought experiments involving a light pulse clock moving…

  9. Multiparticle states in deformed special relativity

    International Nuclear Information System (INIS)

    Hossenfelder, S.

    2007-01-01

    We investigate the properties of multiparticle states in deformed special relativity (DSR). Starting from the Lagrangian formalism with an energy dependent metric, the conserved Noether current can be derived which is additive in the usual way. The integrated Noether current had previously been discarded as a conserved quantity, because it was correctly realized that it does no longer obey the DSR transformations. We identify the reason for this mismatch in the fact that DSR depends only on the extensive quantity of total four momentum instead of the energy-momentum densities as would be appropriate for a field theory. We argue that the reason for the failure of DSR to reproduce the standard transformation behavior in the well established limits is due to the missing sensitivity to the volume inside which energy is accumulated. We show that the soccer-ball problem is absent if one formulates DSR instead for the field densities. As a consequence, estimates for predicted effects have to be corrected by many orders of magnitude. Further, we derive that the modified quantum field theory implies a locality bound

  10. Consistency of the postulates of special relativity

    International Nuclear Information System (INIS)

    Gron, O.; Nicola, M.

    1976-01-01

    In a recent article in this journal, Kingsley has tried to show that the postulates of special relativity contradict each other. It is shown that the arguments of Kingsley are invalid because of an erroneous appeal to symmetry in a nonsymmetric situation. The consistency of the postulates of special relativity and the relativistic kinematics deduced from them is restated

  11. [Ortega and the theory of relativity].

    Science.gov (United States)

    González de Posada, Francisco

    2006-01-01

    Ortega y Gasset's thinking on Einstein and relativity, set out in the course of his extensive works, is constructed in the light of three of his fundamental ideas: 1) science, a special form of belief; 2) physics, a science par excellence; and 3) relativity, the intellectual fact of the highest order of its time; dedicating special attention to the essay: "The historical meaning of Einstein's theory". And it is completed with his critical attitude to the so-called "fundamental crisis" and his diagnosis of the grave problems suffered by physics in the wake of the relativistic and quantum revolutions.

  12. Introduction to the theory of relativity

    CERN Document Server

    Bergmann, Peter Gabriel

    1976-01-01

    Comprehensive coverage of special theory (frames of reference, Lorentz transformation, more), general theory (principle of equivalence, more) and unified theory (Weyl's gauge-invariant geometry, more.) Foreword by Albert Einstein.

  13. Numerical Hydrodynamics in Special Relativity.

    Science.gov (United States)

    Martí, José Maria; Müller, Ewald

    2003-01-01

    This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods in SRHD. Results of a set of demanding test bench simulations obtained with different numerical SRHD methods are compared. Three applications (astrophysical jets, gamma-ray bursts and heavy ion collisions) of relativistic flows are discussed. An evaluation of various SRHD methods is presented, and future developments in SRHD are analyzed involving extension to general relativistic hydrodynamics and relativistic magneto-hydrodynamics. The review further provides FORTRAN programs to compute the exact solution of a 1D relativistic Riemann problem with zero and nonzero tangential velocities, and to simulate 1D relativistic flows in Cartesian Eulerian coordinates using the exact SRHD Riemann solver and PPM reconstruction. Supplementary material is available for this article at 10.12942/lrr-2003-7 and is accessible for authorized users.

  14. A logic road from special relativity to general relativity

    OpenAIRE

    Andréka, Hajnal; Madarász, Judit X.; Németi, István; Székely, Gergely

    2010-01-01

    We present a streamlined axiom system of special relativity in first-order logic. From this axiom system we "derive" an axiom system of general relativity in two natural steps. We will also see how the axioms of special relativity transform into those of general relativity. This way we hope to make general relativity more accessible for the non-specialist.

  15. New view of relativity theory

    International Nuclear Information System (INIS)

    Martini, Luiz Cesar

    2014-01-01

    This article results from Introducing the Dimensional Continuous Space-Time Theory that was published in reference 1. The Dimensional Continuous Space-Time Theory shows a series of facts relative to matter, energy, space and concludes that empty space is inelastic, absolutely stationary, motionless, perpetual, without possibility of deformation neither can it be destroyed or created. A elementary cell of empty space or a certain amount of empty space can be occupied by any quantity of energy or matter without any alteration or deformation. As a consequence of these properties and being a integral part of the theory, the principles of Relativity Theory must be changed to become simple and intuitive.

  16. Quantum entanglement and special relativity

    International Nuclear Information System (INIS)

    Nishikawa, Yoshihisa

    2008-01-01

    Quantum entanglement was suggested by Einstein to indicate that quantum mechanics was incomplete. However, against Einstein's expectation, the phenomenon due to quantum entanglement has been verified by experiments. Recently, in quantum information theory, it has been also treated as a resource for quantum teleportation and so on. In around 2000, it is recognized that quantum correlations between two particles of one pair state in an entangled spin-state are affected by the non-trivial effect due to the successive Lorentz transformation. This relativistic effect is called the Wigner rotation. The Wigner rotation has to been taken into account when we observe spin-correlation of moving particles in a different coordinate frame. In this paper, first, we explain quantum entanglement and its modification due to the Wigner rotation. After that, we introduce an extended model instead of one pair state model. In the extended model, quantum entanglement state is prepared as a superposition state of various pair states. We have computed the von Neumann entropy and the Shannon entropy to see the global behavior of variation for the spin correlation due to the relativistic effect. We also discuss distinguishability between the two particles of the pair. (author)

  17. Is there a map between Galilean relativity and special relativity?

    OpenAIRE

    Shariati, Ahmad; Jafari, N.

    2014-01-01

    Mandanici has provided a map which he claims to be a two way map between Galilean relativity and special relativity. We argue that this map is simply a curvilinear coordinate system on a subset of the two-dimensional Minkowski space-time, and is not a two way map between 1+1 dimensional Galilean relativity and 1+1 dimensional special relativity.

  18. Secondary Students' Understanding of Basic Ideas of Special Relativity

    Science.gov (United States)

    Dimitriadi, Kyriaki; Halkia, Krystallia

    2012-01-01

    A major topic that has marked "modern physics" is the theory of special relativity (TSR). The present work focuses on the possibility of teaching the basic ideas of the TSR to students at the upper secondary level in such a way that they are able to understand and learn the ideas. Its aim is to investigate students' learning processes towards the…

  19. Basic statements of relativity theory

    Directory of Open Access Journals (Sweden)

    Wolfgang Muschik

    2010-04-01

    Full Text Available Some basic statements of relativity theory, starting out with geometry and observers up to Einstein's field equations, are collected in a systematical order without any proof, to serve as a short survey of tools and results.

  20. Doubly special relativity and Finsler geometry

    International Nuclear Information System (INIS)

    Mignemi, S.

    2007-01-01

    We discuss the recent proposal of implementing doubly special relativity in configuration space by means of Finsler geometry. Although this formalism leads to a consistent description of the dynamics of a particle, it does not seem to give a complete description of the physics. In particular, the Finsler line element is not invariant under the deformed Lorentz transformations of doubly special relativity. We study in detail some simple applications of the formalism

  1. Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

    CERN Document Server

    Ismail, Mourad

    2001-01-01

    These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999. The main emphasis of the conference was Com­ puter Algebra (i. e. symbolic computation) and how it related to the fields of Number Theory, Special Functions, Physics and Combinatorics. A subject that is common to all of these fields is q-series. We brought together those who do symbolic computation with q-series and those who need q-series in­ cluding workers in Physics and Combinatorics. The goal of the conference was to inform mathematicians and physicists who use q-series of the latest developments in the field of q-series and especially how symbolic computa­ tion has aided these developments. Over 60 people were invited to participate in the conference. We ended up having 45 participants at the conference, including six one hour plenary speakers and 28 half hour speakers. T...

  2. Extending quantum mechanics entails extending special relativity

    International Nuclear Information System (INIS)

    Aravinda, S; Srikanth, R

    2016-01-01

    The complementarity between signaling and randomness in any communicated resource that can simulate singlet statistics is generalized by relaxing the assumption of free will in the choice of measurement settings. We show how to construct an ontological extension for quantum mechanics (QMs) through the oblivious embedding of a sound simulation protocol in a Newtonian spacetime. Minkowski or other intermediate spacetimes are ruled out as the locus of the embedding by virtue of hidden influence inequalities. The complementarity transferred from a simulation to the extension unifies a number of results about quantum non-locality, and implies that special relativity has a different significance for the ontological model and for the operational theory it reproduces. Only the latter, being experimentally accessible, is required to be Lorentz covariant. There may be certain Lorentz non-covariant elements at the ontological level, but they will be inaccessible at the operational level in a valid extension. Certain arguments against the extendability of QM, due to Conway and Kochen (2009) and Colbeck and Renner (2012), are attributed to their assumption that the spacetime at the ontological level has Minkowski causal structure. (paper)

  3. Special relativity and the Michelson-Morley experiment

    International Nuclear Information System (INIS)

    Chapman, B.R.

    1979-01-01

    It is stated that contrary to most textbook statements about the origins of relativity, there is no real evidence to support the existence of a causal relationship between Michelson's 'crucial' experiment on ether drift and Einstein's enunciation of special relativity. Selective but, it is believed by the author, representative evidence elating to the genesis of the theory of special relativity is presented. Since this evidence contradicts both the substance and the spirit of most textbook references to that genesis, it is thought by the author to have some pedagogic significance for those attempting to teach both the process and the content of physics. (U.K.)

  4. Investigations into quantum theory and relativity theory

    International Nuclear Information System (INIS)

    Cox, I.D.

    1982-03-01

    This thesis falls into two parts. The first is concerned with damping theory as a particular approach to the description of the dynamical evolution of non-closed systems. Appealing ultimately to the Liouville/Von-Neuman equation in the weak coupling regime, the current-voltage characteristics of both the normal and Josephson tunnelling junctions, treated as open systems are obtained. It is then shown that the same results may be obtained via the combined scattering and density matrix formalism (which does not appeal to the Liouville/Von-Neuman equation), and that this method has certain advantages over the conventional formalism. In the second part an extended (non-quantum) theory of relativity in a five dimensional space is developed and a number of interesting consequences thereof obtained. In particular a generalised set of Maxwell equations for electro-dynamics is derived, and some of the implications of the new set of equations are described. Furthermore a treatment of the five-dimensional analogue of the Schwarzschild problem in general relativity is given, together with the resulting implications for planetary motion. (author)

  5. 70 years of the general theory of relativity

    International Nuclear Information System (INIS)

    Castro Diaz-Balart, F.; Cabezas Solorzano, R.

    1986-06-01

    In view of the 70th anniversary of the discovery of the General Theory of Relativity, an analysis was made of the special and general theories. The basic postulates, their consequences in the formulation of the theories, the main results, some aspects related to the experimental verification and its applications are presented, as are some elements of the mathematical formalism of the theories, to facilitate the logical interrelationships between its results and consequences. (author)

  6. Relativity and equivalence principles in the gauge theory of gravitation

    International Nuclear Information System (INIS)

    Ivanenko, D.; Sardanashvili, G.

    1981-01-01

    Roles of relativity (RP) and equivalence principles (EP) in the gauge theory of gravity are shown. RP in the gravitational theory in formalism of laminations can be formulated as requirement of covariance of equations relative to the GL + (4, R)(X) gauge group. In such case RP turns out to be identical to the gauge principle in the gauge theory of a group of outer symmetries, and the gravitational theory can be directly constructed as the gauge theory. In general relativity theory the equivalence theory adds RP and is intended for description of transition to a special relativity theory in some system of reference. The approach described takes into account that in the gauge theory, besides gauge fields under conditions of spontaneous symmetry breaking, the Goldstone and Higgs fields can also arise, to which the gravitational metric field is related, what is the sequence of taking account of RP in the gauge theory of gravitation [ru

  7. Special Relativity: Will it Survive the Next 101 Years?

    Energy Technology Data Exchange (ETDEWEB)

    Altschul, Brett D [Department of Physics, Indiana University, Bloomington, IN 47405 (United States)

    2007-06-18

    All the physics we observe in our world is underlain by special relativity, a theory that has survived for more than a hundred years, in many respects completely intact. Yet despite its status as the most stringently tested theory in all of physics, special relativity is still frequently questioned. In the last decade and a half, many scientists have come to believe that special relativity, as Einstein formulated it, will need to be modified to accommodate a quantum theory of gravity. {l_brace}/it Special Relativity: Will it Survive the Next 101 Years?{r_brace} is a volume intended to introduce the reader to this new and still slightly controversial area of research. The book is divided into four parts. The first part is essentially historical. It consists of an essay discussing Einstein's work in the context of contemporary technological developments and a amusing note by R W P Drever on a precision Lorentz test that he performed literally in his backyard. These set the stage for the more modern material that follows. Part II discusses the theory of relativity and its mathematical foundations, from completely modern perspectives. There is much here that may be new even for experts on special relativity, and a significant level of mathematical sophistication on the part of the reader is assumed. A number of the lectures delve into the crucial question of how special relativity and its generalizations can be combined with quantum mechanics. The third part discusses theoretical models of Lorentz violation, and all the important paradigms that appear in the current literature are considered. These include the standard model extension (an effective field theory), modified dispersion relations and 'double special relativity', and noncommutative geometry. These lectures generally delve into less detail than those in part II; the focus is on helping the reader digest the new principles that must arise in theories without Lorentz symmetry. The final part of

  8. Special Relativity: Will it Survive the Next 101 Years?

    International Nuclear Information System (INIS)

    Altschul, Brett D

    2007-01-01

    All the physics we observe in our world is underlain by special relativity, a theory that has survived for more than a hundred years, in many respects completely intact. Yet despite its status as the most stringently tested theory in all of physics, special relativity is still frequently questioned. In the last decade and a half, many scientists have come to believe that special relativity, as Einstein formulated it, will need to be modified to accommodate a quantum theory of gravity. {/it Special Relativity: Will it Survive the Next 101 Years?} is a volume intended to introduce the reader to this new and still slightly controversial area of research. The book is divided into four parts. The first part is essentially historical. It consists of an essay discussing Einstein's work in the context of contemporary technological developments and a amusing note by R W P Drever on a precision Lorentz test that he performed literally in his backyard. These set the stage for the more modern material that follows. Part II discusses the theory of relativity and its mathematical foundations, from completely modern perspectives. There is much here that may be new even for experts on special relativity, and a significant level of mathematical sophistication on the part of the reader is assumed. A number of the lectures delve into the crucial question of how special relativity and its generalizations can be combined with quantum mechanics. The third part discusses theoretical models of Lorentz violation, and all the important paradigms that appear in the current literature are considered. These include the standard model extension (an effective field theory), modified dispersion relations and 'double special relativity', and noncommutative geometry. These lectures generally delve into less detail than those in part II; the focus is on helping the reader digest the new principles that must arise in theories without Lorentz symmetry. The final part of the volume covers current

  9. The boosts in the noncommutative special relativity

    International Nuclear Information System (INIS)

    Lagraa, M.

    2001-01-01

    From the quantum analogue of the Iwasawa decomposition of SL(2, C) group and the correspondence between quantum SL(2, C) and Lorentz groups we deduce the different properties of the Hopf algebra representing the boost of particles in noncommutative special relativity. The representation of the boost in the Hilbert space states is investigated and the addition rules of the velocities are established from the coaction. The q-deformed Clebsch-Gordon coefficients describing the transformed states of the evolution of particles in noncommutative special relativity are introduced and their explicit calculation are given. (author)

  10. Central limit theorems under special relativity.

    Science.gov (United States)

    McKeague, Ian W

    2015-04-01

    Several relativistic extensions of the Maxwell-Boltzmann distribution have been proposed, but they do not explain observed lognormal tail-behavior in the flux distribution of various astrophysical sources. Motivated by this question, extensions of classical central limit theorems are developed under the conditions of special relativity. The results are related to CLTs on locally compact Lie groups developed by Wehn, Stroock and Varadhan, but in this special case the asymptotic distribution has an explicit form that is readily seen to exhibit lognormal tail behavior.

  11. Verifying the Theory of Relativity

    Science.gov (United States)

    Chandrasekhar, S.

    1975-01-01

    This article, based on a talk the author gave to the 'Innominates', an interdisciplinary faculty group at the University of Chicago, focuses on events of the years surrounding the British Expeditions to Brazil and West Africa in 1919 that led to the confirmation of Einstein's theory of relativity. (BT)

  12. Theory and design methods of special space orbits

    CERN Document Server

    Zhang, Yasheng; Zhou, Haijun

    2017-01-01

    This book focuses on the theory and design of special space orbits. Offering a systematic and detailed introduction to the hovering orbit, spiral cruising orbit, multi-target rendezvous orbit, initiative approaching orbit, responsive orbit and earth pole-sitter orbit, it also discusses the concept, theory, design methods and application of special space orbits, particularly the design and control method based on kinematics and astrodynamics. In addition the book presents the latest research and its application in space missions. It is intended for researchers, engineers and postgraduates, especially those working in the fields of orbit design and control, as well as space-mission planning and research.

  13. Toward an exact formulation of special relativity

    International Nuclear Information System (INIS)

    Kajfosz, J.

    1982-01-01

    In order to clear up some controversial problems of special relativity new terms for the expression of inertial motion are introduced and it is showed that although the descriptions of two identical physical systems moving with respect to one another can be equal, their physical states differ. Some epistemological consequences of this fact are briefly discussed. (author)

  14. Trace Dynamics and a non-commutative special relativity

    International Nuclear Information System (INIS)

    Lochan, Kinjalk; Singh, T.P.

    2011-01-01

    Trace Dynamics is a classical dynamical theory of non-commuting matrices in which cyclic permutation inside a trace is used to define the derivative with respect to an operator. We use the methods of Trace Dynamics to construct a non-commutative special relativity. We define a line-element using the Trace over space-time coordinates which are assumed to be operators. The line-element is shown to be invariant under standard Lorentz transformations, and is used to construct a non-commutative relativistic dynamics. The eventual motivation for constructing such a non-commutative relativity is to relate the statistical thermodynamics of this classical theory to quantum mechanics. -- Highlights: → Classical time is external to quantum mechanics. → This implies need for a formulation of quantum theory without classical time. → A starting point could be a non-commutative special relativity. → Such a relativity is developed here using the theory of Trace Dynamics. → A line-element is defined using the Trace over non-commuting space-time operators.

  15. Special relativity in general frames from particles to astrophysics

    CERN Document Server

    Gourgoulhon, Éric

    2013-01-01

    Special relativity is the basis of many fields in modern physics: particle physics, quantum field theory, high-energy astrophysics, etc. This theory is presented here by adopting a four-dimensional point of view from the start. An outstanding feature of the book is that it doesn’t restrict itself to inertial frames but considers accelerated and rotating observers. It is thus possible to treat physical effects such as the Thomas precession or the Sagnac effect in a simple yet precise manner. In the final chapters, more advanced topics like tensorial fields in spacetime, exterior calculus and relativistic hydrodynamics are addressed. In the last, brief chapter the author gives a preview of gravity and shows where it becomes incompatible with Minkowsky spacetime. Well illustrated and enriched by many historical notes, this book also presents many applications of special relativity, ranging from particle physics (accelerators, particle collisions, quark-gluon plasma) to astrophysics (relativistic jets, active g...

  16. Introduction to special relativity. 2. ed.

    International Nuclear Information System (INIS)

    Rindler, W.

    1991-01-01

    This book is intended for undergraduates taking an introductory course on special relativity that is rather more conceptually and mathematically than experimentally oriented. A suitably prepared reader could also use it for self-study. It assumes no prior knowledge of relativity. Thus it elaborates the underlying logic, dwells on the subtleties and apparent paradoxes, and also contains a large collection of problems which should just about cover all the basic modes of thinking and calculating in special relativity. Much emphasis has been laid on developing the student's intuition for space-time geometry and four-tensor calculus; but the approach is not so dogmatically four-dimensional that three-dimensional methods are rejected out of hand when they yield a result more directly. This updated new edition contains additional problems and applications, and several sections have been substantially rewritten, among them those on the Lorentz transformation and on continuum mechanics. (author)

  17. Einstein and the Special Theory of Relativity

    Indian Academy of Sciences (India)

    picture books for children. Supurna Sinha ... no contact with other contemporary great thinkers. This isolation ... do not remember if I knew of it at all when I wrote my first paper .... words of R S Shankland: "I asked Professor Einstein how long.

  18. Nonlinear generalization of special relativity at very high energies

    International Nuclear Information System (INIS)

    Winterberg, F.

    1984-01-01

    It is shown, that the introduction of a fundamental length constant into the operator representation of the quantum mechanical commutation relations, as suggested by Bagge, leads to a nonlinear generalization of the Lorentz transformations. The theory requires the introduction of a substratum (ether) and which can be identified as the zero point vacuum energy. At very high energies a non-Lorentz invariant behaviour for the cross sections between elementary particles is predicted. Using the Einstein clock synchronisation definition, the velocity of light is also constant and equal to c in the new theory, but the zero point vacuum energy becomes finite, as are all other quantities which are divergent in Lorentz invariant quantum field theories. In the limiting case where the length constant is set equal to zero, the zero point vacuum energy diverges and special relativity is recovered. (orig.) [de

  19. Special relativity - the foundation of macroscopic physics

    International Nuclear Information System (INIS)

    Dixon, W.G.

    1978-01-01

    This book aims to show that an understanding of the basic laws of macroscopic systems can be gained more easily within relativistic physics than within Newtonian physics. The unity of dynamics, thermodynamics and electromagnetism under the umbrella of special relativity is examined under chapter headings entitled: the physics of space and time, affine spaces in mathematics and physics, foundations of dynamics, relativistic simple fluids, and, electrodynamics of polarizable fluids. (U.K.)

  20. The principle of relativity and the special relativity triple

    International Nuclear Information System (INIS)

    Guo Hanying; Wu Hongtu; Zhou Bin

    2009-01-01

    Based on the principle of relativity and the postulate on universal invariant constants (c,l) as well as Einstein's isotropy conditions, three kinds of special relativity form a triple with a common Lorentz group as isotropy group under full Umov-Weyl-Fock-Lorentz transformations among inertial motions

  1. Test of special relativity theory by means of laser spectroscopy on relativistic {sup 7}Li{sup +} ions in the ESR; Test der Speziellen Relativitaetstheorie mittels Laserspektroskopie an relativistischen {sup 7}Li{sup +}-Ionen am ESR

    Energy Technology Data Exchange (ETDEWEB)

    Botermann, Benjamin

    2012-10-31

    The invariance under Lorentz transformation of the laws of physics is a fundamental postulate of modern physics and all theories of the fundamental interactions have been stated in a covariant form. Although the theory of Special Relativity (SR) has been tested and confirmed with high accuracy in a large number of experiments, improved tests are of fundamental interest due to the far-reaching relevance of this postulate. Additionally modern attempts of a unified description of the four fundamental interactions point to possible violations of Lorentz invariance. In this context experiments of the Ives-Stilwell type for a test of time dilation play an important role. High resolution laser spectroscopy is applied on relativistic particle beams to investigate the validity of the relativistic Doppler formula - and therefore of the time dilation factor γ. In the course of this thesis an Ives-Stilwell experiment was performed with {sup 7}Li{sup +} ions at a velocity of 34 % of the speed of light, which were stored at the experimental storage ring (ESR) of the GSI Helmholtzzentrum fuer Schwerionenforschung. The techniques of Λ- as well as saturation spectroscopy were employed on the 1s2s{sup 3}S{sub 1}→1s2p{sup 3}P{sub 2} transition. By a computer based analysis of the fluorescence detection system and utilization of appropriate edge filters the signal to noise ratio was decisively improved and the application of an additional pump laser allowed for the observation of a saturation signal for the first time. The frequency stability of both laser systems was specified by means of a frequency comb to obtain the highest possible accuracy. The data from the beam times were analyzed in the frameworks of the Robertson-Mansouri-Sexl test theory (RMS) and the Standard Model Extension (SME) and the corresponding upper limits of the relevant test parameters of the assigned theories were calculated. The upper limit of the parameter α was improved by a factor of 4 compared to

  2. A Game Theory Approach for Product Specialization in International Trade

    Directory of Open Access Journals (Sweden)

    Ioana-Veronica ALEXA

    2011-11-01

    Full Text Available Game theory, in its most basic form, considers two players and analyses the different strategies that they can use and the effect that these strategies will have on each player. International trade allows countries to use better their resources (labor, technology or capital. Since countries have different capital or natural resources, some of them will produce a good more efficiently than others and therefore could sell it cheaper than other countries. By using game theory in international trade we could determine if the H-O-S model is correct and what would be the best specialization for each country.

  3. Special relativity, electrodynamics, and general relativity from Newton to Einstein

    CERN Document Server

    Kogut, John B

    2018-01-01

    Special Relativity, Electrodynamics and General Relativity: From Newton to Einstein, Second Edition, is intended to teach (astro)physics, astronomy, and cosmology students how to think about special and general relativity in a fundamental, but accessible, way. Designed to render any reader a "master of relativity," everything on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. Fully revised, updated and expanded second edition Includes new chapters on magnetism as a consequence of relativity and electromagnetism Contains many improved and more engaging figures Uses less algebra resulting in more efficient derivations Enlarged discussion of dynamics and the relativistic version of Newton's second law

  4. Definitions of mass in special relativity

    International Nuclear Information System (INIS)

    Whitaker, M.A.B.

    1976-01-01

    Reference is made to the textbook on special relativity by Taylor and Wheeler (Space-time Physics. San Francisco. W H Freeman) in which the concept of relativistic mass is not used but momentum and energy are defined as γm 0 ν and γm 0 c 2 . The two approaches are compared and the particular problem of inelastic collisions between two particles with zero coefficient of restitution is used to demonstrate that the Taylor Wheeler definition of the rest mass of a system may lead to lack of clarity of thought, and even error. Alternative definitions of the rest mass of a system are proposed. (U.K.)

  5. The arithmetic basis of special relativity

    International Nuclear Information System (INIS)

    Greenspan, D.

    1976-01-01

    Under relatively general particle and rocket frame motions, it is shown that, for special relativity, the basic concepts can be formulated and the basic properties deduced using only arithmetic. Particular attention is directed toward velocity, acceleration, proper time, momentum, energy, and 4-vectors in both space-time and Minkowski space, and to relativistic generalizations of Newton's second law. The resulting mathematical simplification is not only completely compatible with modern computer technology, but it yields dynamical equations that can be solved directly by such computers. Particular applications of the numerical equations, which are either Lorentz invariant or are directly related to Lorentz-invariant formulas, are made to the study of a relativistic harmonic oscillator and to the motion of an electric particle in a magnetic field. (author)

  6. Theory and Theorizing in Nursing Science: Commentary from the Nursing Research Special Issue Editorial Team.

    Science.gov (United States)

    Jairath, Nalini N; Peden-McAlpine, Cynthia J; Sullivan, Mary C; Vessey, Judith A; Henly, Susan J

    Articles from three landmark symposia on theory for nursing-published in Nursing Research in 1968-1969-served as a key underpinning for the development of nursing as an academic discipline. The current special issue on Theory and Theorizing in Nursing Science celebrates the 50th anniversary of publication of these seminal works in nursing theory. The purpose of this commentary is to consider the future of nursing theory development in light of articles published in the anniversary issue. The Editorial Team for the special issue identified core questions about continued nursing theory development, as related to the nursing metaparadigm, practice theory, big data, and doctoral education. Using a dialogue format, the editors discussed these core questions. The classic nursing metaparadigm (health, person, environment, nursing) was viewed as a continuing unifying element for the discipline but is in need of revision in today's scientific and practice climates. Practice theory and precision healthcare jointly arise from an emphasis on individualization. Big data and the methods of e-science are challenging the assumptions on which nursing theory development was originally based. Doctoral education for nursing scholarship requires changes to ensure that tomorrow's scholars are prepared to steward the discipline by advancing (not reifying) past approaches to nursing theory. Ongoing reexamination of theory is needed to clarify the domain of nursing, guide nursing science and practice, and direct and communicate the unique and essential contributions of nursing science to the broader health research effort and of nursing to healthcare.

  7. The Principle of Relativity and the Indeterminacy of Special Relativity

    Science.gov (United States)

    de Abreu, Rodrigo; Guerra, Vasco

    2008-01-01

    This work ends a trilogy devoted to a journey into the foundations of special relativity. The first paper debated the meaning of the constancy of the two-way speed of light and its close relation to the conceptualization of time. The second one addressed the question of the possible constancy of the one-way speed of light and the trivial--but,…

  8. Classical and special relativity in four steps

    Science.gov (United States)

    Browne, K. M.

    2018-03-01

    The most fundamental and pedagogically useful path to the space-time transformations of both classical and special relativity is to postulate the principle of relativity, derive the generalised or Ignatowsky transformation which contains both, then apply two different second postulates that give either the Galilean or Lorentz transformation. What is new here is (a) a simple two-step derivation of the Ignatowsky transformation, (b) a second postulate of universal time which yields the Galilean transformation, and (c) a different second postulate of finite universal lightspeed to give the Lorentz transformation using a simple Ignatowsky transformation of a light wave. This method demonstrates that the fundamental difference between Galilean and Lorentz transformations is not that lightspeed is universal (which is true for both) but whether the model requires lightspeed to be infinite or finite (as once mentioned by Einstein).

  9. Coding Theory, Cryptography and Related Areas

    DEFF Research Database (Denmark)

    Buchmann, Johannes; Stichtenoth, Henning; Tapia-Recillas, Horacio

    Proceedings of anInternational Conference on Coding Theory, Cryptography and Related Areas, held in Guanajuato, Mexico. in april 1998......Proceedings of anInternational Conference on Coding Theory, Cryptography and Related Areas, held in Guanajuato, Mexico. in april 1998...

  10. Generalized string theory mapping relations between gravity and gauge theory

    International Nuclear Information System (INIS)

    Bjerrum-Bohr, N.E.J.

    2003-01-01

    A previous study of the Kawai, Lewellen and Tye (KLT) relations between gravity and gauge theories, imposed by the relationship of closed and open strings, are here extended in the light of general relativity and Yang-Mills theory as effective field theories. We discuss the possibility of generalizing the traditional KLT mapping in this effective setting. A generalized mapping between the effective Lagrangians of gravity and Yang-Mills theory is presented, and the corresponding operator relations between gauge and gravity theories at the tree level are further explored. From this generalized mapping remarkable diagrammatic relations are found, linking diagrams in gravity and Yang-Mills theory, as well as diagrams in pure effective Yang-Mills theory. Also the possibility of a gravitational coupling to an antisymmetric field in the gravity scattering amplitude is considered, and shown to allow for mixed open-closed string solutions, i.e., closed heterotic strings

  11. Some special techniques related to XAFS

    International Nuclear Information System (INIS)

    Ma Lidun; Kang Litao; Shi Guoshun

    2001-01-01

    Some special techniques related to XAFS are simply introduced. Atomic XAFS is produced by the photoelectron scattering by the outer valance electrons of the absorption atoms, which can be used for studying the outer electron structure of the absorption atoms and the relationship between electron structure and the local structure. NEXAFS-STXM is an image technique by the combination of NEXAFS and STXM. The image is produced by the difference of the absorption of the different matters consisted by the same elements in the range of NEXAFS. In addition, NEXAFS-STXM can quantitatively map the organic and inorganic components of biological tissue. Photoacoustic XAFS is obtained by the measurements of the photoacoustic signal on the both sides of the absorption edge. The film thickness can be measured by the phase delay of the photoacoustic signal. DAFS technique is a complex of XAFS and XRD. The local structure of the atom with special site and appointed valence can be determined by DAFS. Furthermore, the XAFS can be complexed with X-ray Raman scattering, XRD, XPS and FTIR for structural studies, respectively

  12. Explanatory and illustrative visualization of special and general relativity.

    Science.gov (United States)

    Weiskopf, Daniel; Borchers, Marc; Ertl, Thomas; Falk, Martin; Fechtig, Oliver; Frank, Regine; Grave, Frank; King, Andreas; Kraus, Ute; Müller, Thomas; Nollert, Hans-Peter; Rica Mendez, Isabel; Ruder, Hanns; Schafhitzel, Tobias; Schär, Sonja; Zahn, Corvin; Zatloukal, Michael

    2006-01-01

    This paper describes methods for explanatory and illustrative visualizations used to communicate aspects of Einstein's theories of special and general relativity, their geometric structure, and of the related fields of cosmology and astrophysics. Our illustrations target a general audience of laypersons interested in relativity. We discuss visualization strategies, motivated by physics education and the didactics of mathematics, and describe what kind of visualization methods have proven to be useful for different types of media, such as still images in popular science magazines, film contributions to TV shows, oral presentations, or interactive museum installations. Our primary approach is to adopt an egocentric point of view: The recipients of a visualization participate in a visually enriched thought experiment that allows them to experience or explore a relativistic scenario. In addition, we often combine egocentric visualizations with more abstract illustrations based on an outside view in order to provide several presentations of the same phenomenon. Although our visualization tools often build upon existing methods and implementations, the underlying techniques have been improved by several novel technical contributions like image-based special relativistic rendering on GPUs, special relativistic 4D ray tracing for accelerating scene objects, an extension of general relativistic ray tracing to manifolds described by multiple charts, GPU-based interactive visualization of gravitational light deflection, as well as planetary terrain rendering. The usefulness and effectiveness of our visualizations are demonstrated by reporting on experiences with, and feedback from, recipients of visualizations and collaborators.

  13. Special Relativity Corrections for Space-Based Lidars

    Science.gov (United States)

    RaoGudimetla, Venkata S.; Kavaya, Michael J.

    1999-01-01

    The theory of special relativity is used to analyze some of the physical phenomena associated with space-based coherent Doppler lidars aimed at Earth and the atmosphere. Two important cases of diffuse scattering and retroreflection by lidar targets are treated. For the case of diffuse scattering, we show that for a coaligned transmitter and receiver on the moving satellite, there is no angle between transmitted and returned radiation. However, the ray that enters the receiver does not correspond to a retroreflected ray by the target. For the retroreflection case there is misalignment between the transmitted ray and the received ray. In addition, the Doppler shift in the frequency and the amount of tip for the receiver aperture when needed are calculated, The error in estimating wind because of the Doppler shift in the frequency due to special relativity effects is examined. The results are then applied to a proposed space-based pulsed coherent Doppler lidar at NASA's Marshall Space Flight Center for wind and aerosol backscatter measurements. The lidar uses an orbiting spacecraft with a pulsed laser source and measures the Doppler shift between the transmitted and the received frequencies to determine the atmospheric wind velocities. We show that the special relativity effects are small for the proposed system.

  14. Relativity theory (a bibliography with abstracts). Report for 1970--Feb 77

    International Nuclear Information System (INIS)

    Grooms, D.W.

    1977-04-01

    Research studies are presented on special and general relativity. Gravitational theory, field theory, and space--time studies are included, as are studies involving the Minkowski space, the Schrodinger equations, the Dirac equations, and the Lorentz transformations

  15. Two-World Background of Special Relativity. Part I

    Directory of Open Access Journals (Sweden)

    Adekugbe A. O. J.

    2010-01-01

    Full Text Available A new sheet of spacetime is isolated and added to the existing sheet, thereby yielding a pair of co-existing sheets ofspacetimes, which are four-dimensional inversions of each other. The separation of the spacetimes by the special-relativistic event horizon compels an interpretation of the existence of a pair of symmetrical worlds (or universes in nature. Further more, a flat two-dimensional intrinsic spacetime that underlies the flat four-dimensional spacetime in each universe is introduced. The four-dimensional spacetime is outward manifestation of the two-dimensional intrinsic spacetime, just as the Special Theory of Relativity (SR on four-dimensional spacetime is mere outward manifestation of the intrinsic Special Theory of Relativity ($phi$SR on two-dimensional intrinsic spacetime. A new set of diagrams in the two-world picture that involves relative rotation of the coordinates of the two-dimensional intrinsic spacetime is drawn and intrinsic Lorentz transformation derived from it. The Lorentz transformation in SR is then written directly from intrinsic Lorentz transformation in $phi$SR without any need to draw diagrams involving relative rotation of the coordinates of four-dimensional spacetime, as usually done until now. Indeed every result of SR can be written directly from the corresponding result of $phi$SR. The non-existence of the light cone concept in the two-world picture is shown and good prospect for making the Lorentz group SO(3,1 compact in the two-world picture is highlighted.

  16. Inclusive Special Education: Development of a New Theory for the Education of Children with Special Educational Needs and Disabilities

    Science.gov (United States)

    Hornby, Garry

    2015-01-01

    Inclusive education and special education are based on different philosophies and provide alternative views of education for children with special educational needs and disabilities. They are increasingly regarded as diametrically opposed in their approaches. This article presents a theory of "inclusive special education" that comprises…

  17. Two-World Background of Special Relativity. Part I

    Directory of Open Access Journals (Sweden)

    Adekugbe A. O. J.

    2010-01-01

    Full Text Available A new sheet of spacetime is isolated and added to the existing sheet, thereby yielding a pair of co-existing sheets of spacetimes, which are four-dimensional inversions of each other. The separation of the spacetimes by the special-relativistic event horizon com- pels an interpretation of the existence of a pair of symmetrical worlds (or universes in nature. Further more, a flat two-dimensional intrinsic spacetime that underlies the flat four-dimensional spacetime in each universe is introduced. The four-dimensional spacetime is outward manifestation of the two-dimensional intrinsic spacetime, just as the Special Theory of Relativity (SR on four-dimensional spacetime is mere outward manifestation of the intrinsic Special Theory of Relativity ( SR on two-dimensional intrinsic spacetime. A new set of diagrams in the two-world picture that involves rela- tive rotation of the coordinates of the two-dimensional intrinsic spacetime is drawn and intrinsic Lorentz transformation derived from it. The Lorentz transformation in SR is then written directly from intrinsic Lorentz transformation in SR without any need to draw diagrams involving relative rotation of the coordinates of four-dimensional space- time, as usually done until now. Indeed every result of SR can be written directly from the corresponding result of SR. The non-existence of the light cone concept in the two-world picture is shown and good prospect for making the Lorentz group SO(3,1 compact in the two-world picture is highlighted.

  18. Vantage Theory and Linguistic Relativity

    Science.gov (United States)

    Allan, Keith

    2010-01-01

    Rob MacLaury's Vantage Theory, VT, models the way in which a cognizer constructs, recalls, uses, and modifies a category in terms of point of view or vantage. Alongside of VT, there is place for the kind of semantic specification found in the lexicon. VT2 [Allan, Keith, 2002. "Vantage theory, VT2, and number." "Language Sciences" 24(5-6), 679-703…

  19. Finsler geometry, relativity and gauge theories

    International Nuclear Information System (INIS)

    Asanov, G.S.

    1985-01-01

    This book provides a self-contained account of the Finslerian techniques which aim to synthesize the ideas of Finslerian metrical generalization of Riemannian geometry to merge with the primary physical concepts of general relativity and gauge field theories. The geometrization of internal symmetries in terms of Finslerian geometry, as well as the formulation of Finslerian generalization of gravitational field equations and equations of motion of matter, are two key points used to expound the techniques. The Clebsch representation of the canonical momentum field is used to formulate the Hamilton-Jacobi theory for homogeneous Lagrangians of classical mechanics. As an auxillary mathematical apparatus, the author uses invariance identities which systematically reflect the covariant properties of geometrical objects. The results of recent studies of special Finsler spaces are also applied. The book adds substantially to the mathematical monographs by Rund (1959) and Rund and Bear (1972), all basic results of the latter being reflected. It is the author's hope that thorough exploration of the materrial presented will tempt the reader to revise the habitual physical concepts supported conventionally by Riemannian geometry. (Auth.)

  20. Statistical mechanics in the context of special relativity. II.

    Science.gov (United States)

    Kaniadakis, G

    2005-09-01

    The special relativity laws emerge as one-parameter (light speed) generalizations of the corresponding laws of classical physics. These generalizations, imposed by the Lorentz transformations, affect both the definition of the various physical observables (e.g., momentum, energy, etc.), as well as the mathematical apparatus of the theory. Here, following the general lines of [Phys. Rev. E 66, 056125 (2002)], we show that the Lorentz transformations impose also a proper one-parameter generalization of the classical Boltzmann-Gibbs-Shannon entropy. The obtained relativistic entropy permits us to construct a coherent and self-consistent relativistic statistical theory, preserving the main features of the ordinary statistical theory, which is recovered in the classical limit. The predicted distribution function is a one-parameter continuous deformation of the classical Maxwell-Boltzmann distribution and has a simple analytic form, showing power law tails in accordance with the experimental evidence. Furthermore, this statistical mechanics can be obtained as the stationary case of a generalized kinetic theory governed by an evolution equation obeying the H theorem and reproducing the Boltzmann equation of the ordinary kinetics in the classical limit.

  1. Hispanic Culture and Relational Cultural Theory

    Science.gov (United States)

    Ruiz, Elizabeth

    2005-01-01

    Traditional personality theories do not consider the impact of culture on personality development. Yet, to provide culturally relevant services to the increasing Hispanic population in the U.S., more culturally relevant theories must be identified. This paper presents Relational Cultural Theory (RCT) as an alternative model to understanding…

  2. Chaos Theory and International Relations

    Science.gov (United States)

    2016-12-01

    King Oscar II 12 James E. Glenn, Chaos Theory: The Essentials for Military Applications (Newport, RI...Adolf Hitler in Germany, Alexander’s conquest of the Persian Empire, the arrival of Attila to Europe, the onset of the two Gulf Wars, the Arab Spring

  3. The Lorentz Theory of Electrons and Einstein's Theory of Relativity

    Science.gov (United States)

    Goldberg, Stanley

    1969-01-01

    Traces the development of Lorentz's theory of electrons as applied to the problem of the electrodynamics of moving bodies. Presents evidence that the principle of relativity did not play an important role in Lorentz's theory, and that though Lorentz eventually acknowledged Einstein's work, he was unwilling to completely embrace the Einstein…

  4. Special relativity from observer's mathematics point of view

    Science.gov (United States)

    Khots, Boris; Khots, Dmitriy

    2015-09-01

    When we create mathematical models for quantum theory of light we assume that the mathematical apparatus used in modeling, at least the simplest mathematical apparatus, is infallible. In particular, this relates to the use of "infinitely small" and "infinitely large" quantities in arithmetic and the use of Newton - Cauchy definitions of a limit and derivative in analysis. We believe that is where the main problem lies in contemporary study of nature. We have introduced a new concept of Observer's Mathematics (see www.mathrelativity.com). Observer's Mathematics creates new arithmetic, algebra, geometry, topology, analysis and logic which do not contain the concept of continuum, but locally coincide with the standard fields. We use Einstein special relativity principles and get the analogue of classical Lorentz transformation. This work considers this transformation from Observer's Mathematics point of view.

  5. [Special impact of supramolecular chemistry on Chinese medicine theories].

    Science.gov (United States)

    He, Fu-Yuan; Zhou, Yi-Qun; Deng, Kai-Wen; Deng, Jun-Lin; Shi, Ji-Lian; Liu, Wen-Long; Yang, Yan-Tao; Tang, Yu; Liu, Zhi-Gang

    2014-04-01

    The paper aimed to elucidate the specific impact of supramolecular chemistry on the Chinese medicine theories (CMT) in their modernization, after had summarized up the research status of supramolecular chemistry and analyzed the possible supramolecular forms of Chinese medicine (CM), as well as considered the problems in modernization of CM theories. On comparison of the classical chemistry that delt with chemical bonds among atoms, the supramolecular chemistry was rather concerned with varietes of weak noncovalent bonds intermolecules, and reflected the macro-apparent chemical properties of each molecules, and was the most appropriate chemical theories to explain the CMT and microcosmic materials. The molecules in the human body and Chinese material medica (CMM) formed supramolecules by way of self-assembly, self-organization, self-recognition and self-replication, with themselves or with complexation, composition, chelation, inclusion, neutralization etc. Meridian and Zang-fu viscera in CMT might be a space channel structure continuously consisted of unique molecules cavity that was imprinted with the supramolecularly template inside and outside of cells, through which the molecules in CMM interacted with the meridian and Zang-fu viscera. When small molecules in human body imprinted with macromolecules in meridian and Zang-fu viscera, in other words, they migrated along within imprinting channels of meridian and Zang-fu viscera on behavior of "Qi chromatography" impulsed by the heart beat, finally showed up on macroscopic the anisotropy of tissue and organ, as described namely as visceral manifestation in Chinese medical science. When small molecules in CMM interacted with imprinting channel on meridian and Zang-fu viscera, the natural properties and efficacy regularities of CMM was reflected on macroscopic. Therefore, the special representation forms of basic CMT is based on the macroscopic expression of "Qi chromatography" abided by imprinting effect

  6. Analytic number theory, approximation theory, and special functions in honor of Hari M. Srivastava

    CERN Document Server

    Rassias, Michael

    2014-01-01

    This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality, and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics, and other computational and applied sciences.

  7. New special operators in W-gravity theories

    International Nuclear Information System (INIS)

    Rama, S.K.

    1991-01-01

    This paper reports on special physical operators of W 3 -gravity having non-trivial ghost sectors. Some of these operators may be viewed as the Liouville dressings of the energy operator of the Ising model coupled to two-dimensional (2D) gravity and this fills in the gap in the connection between pure W 3 -gravity and Ising model coupled to 2D gravity found in the authors' previous work. The authors formulate a selection rule required for the calculation of correlators in W-gravity theories. Using this rule, the authors construct the non-ghost part of the new operators of W N -gravity and find that they represent the (N,N + 1) minimal model operators from both inside and outside the minimal table. Along the way the authors obtain the canonical spectrum of W N -gravity for all N

  8. Closing in on chemical bonds by opening up relativity theory.

    Science.gov (United States)

    Whitney, Cynthia K

    2008-03-01

    This paper develops a connection between the phenomenology of chemical bonding and the theory of relativity. Empirical correlations between electron numbers in atoms and chemical bond stabilities in molecules are first reviewed and extended. Quantitative chemical bond strengths are then related to ionization potentials in elements. Striking patterns in ionization potentials are revealed when the data are viewed in an element-independent way, where element-specific details are removed via an appropriate scaling law. The scale factor involved is not explained by quantum mechanics; it is revealed only when one goes back further, to the development of Einstein's special relativity theory.

  9. Teaching Physics for Conceptual Understanding Exemplified for Einstein's Special Relativity

    Science.gov (United States)

    Undreiu, Lucian M.

    2006-12-01

    In most liberal arts colleges the prerequisites for College Physics, Introductory or Calculus based, are strictly related to Mathematics. As a state of fact, the majorities of the students perceive Physics as a conglomerate of mathematical equations, a collection of facts to be memorized and they regard Physics as one of the most difficult subjects. A change of this attitude towards Physics, and Science in general, is intrinsically connected with the promotion of conceptual understanding and stimulation of critical thinking. In such an environment, the educators are facilitators, rather than the source of knowledge. One good way of doing this is to challenge the students to think about what they see around them and to connect physics with the real world. Motivation occurs when students realize that what was learned is interesting and relevant. Visual teaching aids such as educational videos or computer simulations, as well as computer-assisted experiments, can greatly enhance the effectiveness of a science lecture or laboratory. Difficult topics can be discussed through animated analogies. Special Relativity is recognized as a challenging topic and is probably one of the most misunderstood theories of Physics. While understanding Special Relativity requires a detachment from ordinary perception and every day life notions, animated analogies can prove to be very successful in making difficult topics accessible.

  10. Popper and Dingle on special relativity and the issue of symmetry

    Science.gov (United States)

    Dotson, Allen Clark

    2012-02-01

    Karl Popper and Herbert Dingle engaged in a fascinating debate concerning the kind of theory the special theory of relativity is. One of the issues was whether applications of the theory could be made consistent with the principle of relativity, a cornerstone of the theory itself. The principle of relativity seems to imply some sort of symmetry in results obtained for similar experiments as observed in two different inertial reference frames. Peter Hayes has recently dealt with the Dingle-Popper debate on this matter, as well as other issues. The present paper seeks to clarify what kind of symmetry is appropriate in a situation discussed by Popper, Dingle, and Hayes.

  11. Time in Newtonian physics and special relativity

    International Nuclear Information System (INIS)

    Kichenassamy, S.

    1980-01-01

    The Newtonian point of view is presented as is the relativist one over time: concepts of guide-marks, clocks and setting to time. One of the consequences of Einstein's theory, the dilation of durations, is developed in particular [fr

  12. On a relative form of Verdier Specialization

    OpenAIRE

    Fullwood, James; Wang, Dongxu

    2016-01-01

    Comment: Written for the proceedings of "International Conference on Singularity Theory, in Honor of Henry Laufer's 70th Birthday", which took place in December 2015 at the Tsinghua Sanya International Mathematics Forum in Sanya China

  13. Radiation carcinogenesis and related radiobiology. Special listing

    International Nuclear Information System (INIS)

    1980-01-01

    The special listing of Current Cancer Research Projects is a publication of the International Cancer Research Data Bank (ICRDB) Program of the National Cancer Institute. Each Listing contains descriptions of ongoing projects in one selected cancer research area. The research areas include: Human cancer and exposure to radiation; Experimental radiation carcinogenesis and radiation biology

  14. Promoting a Positive Image: Public Relations Strategies for Special Educators.

    Science.gov (United States)

    Brennan, Kathleen B.; Miller, April D.; Brennan, J. Patrick, II

    2000-01-01

    A positive public relations campaign specific to special education can stimulate teacher cooperation and principal support, improve community perceptions of special education students, and increase hiring of special education students by local businesses. A monthly calendar of suggested activities and guidelines for starting a public relations…

  15. How I Created the Theory of Relativity.

    Science.gov (United States)

    Ono, Yoshimasa A.

    1982-01-01

    This translation of a lecture given in Kyoto (Japan) on 14 December l922 sheds light on Einstein's path to the theory of relativity and offers insights into many other aspects of his work on relativity. (Author/JN)

  16. Nearly pseudo-Kähler manifolds and related special holonomies

    CERN Document Server

    Schäfer, Lars

    2017-01-01

    Developing and providing an overview of recent results on nearly Kähler geometry on pseudo-Riemannian manifolds, this monograph emphasizes the differences with the classical Riemannian geometry setting. The focal objects of the text are related to special holonomy and Killing spinors and have applications in high energy physics, such as supergravity and string theory. Before starting into the field, a self-contained introduction to the subject is given, aimed at students with a solid background in differential geometry. The book will therefore be accessible to masters and Ph.D. students who are beginning work on nearly Kähler geometry in pseudo-Riemannian signature, and also to non-experts interested in gaining an overview of the subject.  Moreover, a number of results and techniques are provided which will be helpful for differential geometers as well as for high energy physicists interested in the mathematical background of the geometric objects they need.

  17. Simple recursion relations for general field theories

    International Nuclear Information System (INIS)

    Cheung, Clifford; Shen, Chia-Hsien; Trnka, Jaroslav

    2015-01-01

    On-shell methods offer an alternative definition of quantum field theory at tree-level, replacing Feynman diagrams with recursion relations and interaction vertices with a handful of seed scattering amplitudes. In this paper we determine the simplest recursion relations needed to construct a general four-dimensional quantum field theory of massless particles. For this purpose we define a covering space of recursion relations which naturally generalizes all existing constructions, including those of BCFW and Risager. The validity of each recursion relation hinges on the large momentum behavior of an n-point scattering amplitude under an m-line momentum shift, which we determine solely from dimensional analysis, Lorentz invariance, and locality. We show that all amplitudes in a renormalizable theory are 5-line constructible. Amplitudes are 3-line constructible if an external particle carries spin or if the scalars in the theory carry equal charge under a global or gauge symmetry. Remarkably, this implies the 3-line constructibility of all gauge theories with fermions and complex scalars in arbitrary representations, all supersymmetric theories, and the standard model. Moreover, all amplitudes in non-renormalizable theories without derivative interactions are constructible; with derivative interactions, a subset of amplitudes is constructible. We illustrate our results with examples from both renormalizable and non-renormalizable theories. Our study demonstrates both the power and limitations of recursion relations as a self-contained formulation of quantum field theory.

  18. Special relativity of Kaluza-Klein

    International Nuclear Information System (INIS)

    Maia, M.D.

    1984-01-01

    Kaluza-Klein theory is formulated from the point of view of the Gauss geometry of embedded manifolds. According to this view, space-time is regarded as locally and isometrically embedded in the high dimensional space predicted by that theory. The high dimensional Minkowski space is considered as a particular solution of the high dimensional vacuum Einstein's equations and it is assumed to represent the ground state of the theory. In this particular case it is shown that the compactification of the space of internal variables follows from the second quadratic forms of the Gaussian geometry of space-time. The Gauss-Codazzi-Ricci integrability conditions are interpreted as the field equations for a low energy observer. The space-time reduced Einstein-Hilbert action is interpreted as an integral equation on the size of the internal space. 13 references

  19. Tunneling Flight Time, Chemistry, and Special Relativity.

    Science.gov (United States)

    Petersen, Jakob; Pollak, Eli

    2017-09-07

    Attosecond ionization experiments have not resolved the question "What is the tunneling time?". Different definitions of tunneling time lead to different results. Second, a zero tunneling time for a material particle suggests that the nonrelativistic theory includes speeds greater than the speed of light. Chemical reactions, occurring via tunneling, should then not be considered in terms of a nonrelativistic quantum theory calling into question quantum dynamics computations on tunneling reactions. To answer these questions, we define a new experimentally measurable paradigm, the tunneling flight time, and show that it vanishes for scattering through an Eckart or a square barrier, irrespective of barrier length or height, generalizing the Hartman effect. We explain why this result does not lead to experimental measurement of speeds greater than the speed of light. We show that this tunneling is an incoherent process by comparing a classical Wigner theory with exact quantum mechanical computations.

  20. Cosmological special relativity the large scale structure of space, time and velocity

    CERN Document Server

    Carmeli, Moshe

    1997-01-01

    This book deals with special relativity theory and its application to cosmology. It presents Einstein's theory of space and time in detail, and describes the large scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The book will be of interest to cosmologists, astrophysicists, theoretical

  1. Radiation carcinogenesis and related radiobiology. Special listing

    International Nuclear Information System (INIS)

    1978-01-01

    This Special Listing of Current Cancer Research Projects is a service of the International Cancer Research Data Bank (ICRDB) program of the National Cancer Institute. Each listing contains descriptions of ongoing projects in one selected cancer research area. The descriptions are provided by cancer scientists in about 50 different countries. Research areas covered in this listing are: Human cancer and exposure to radiation; experimental radiation carcinogenesis and radiation biology

  2. Female relative wages, household specialization and fertility

    OpenAIRE

    Siegel, Christian

    2017-01-01

    Falling fertility rates have often been linked to rising female wages. However, over the last 40 years the US total fertility rate has been rather stable while female wages have continued to grow. Over the same period, women's hours spent on housework have declined, but men's have increased. I propose a model in which households are not perfectly specialized, but both men and women contribute to home production. As the gender wage gap narrows, the time allocations of men and women converge, a...

  3. Canonical perturbation theory in linearized general relativity theory

    International Nuclear Information System (INIS)

    Gonzales, R.; Pavlenko, Yu.G.

    1986-01-01

    Canonical perturbation theory in linearized general relativity theory is developed. It is shown that the evolution of arbitrary dynamic value, conditioned by the interaction of particles, gravitation and electromagnetic fields, can be presented in the form of a series, each member of it corresponding to the contribution of certain spontaneous or induced process. The main concepts of the approach are presented in the approximation of a weak gravitational field

  4. Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

    CERN Document Server

    Malament, David B

    2012-01-01

    In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is

  5. On skein relations in class S theories

    International Nuclear Information System (INIS)

    Tachikawa, Yuji; Watanabe, Noriaki

    2015-01-01

    Loop operators of a class S theory arise from networks on the corresponding Riemann surface, and their operator product expansions are given in terms of the skein relations, that we describe in detail in the case of class S theories of type A. As two applications, we explicitly determine networks corresponding to dyonic loops of N=4SU(3) super Yang-Mills, and compute the superconformal index of a nontrivial network operator of the T 3 theory.

  6. A fundamental special-relativistic theory valid for all real-valued speeds

    Directory of Open Access Journals (Sweden)

    Vedprakash Sewjathan

    1984-01-01

    Full Text Available This paper constitutes a fundamental rederivation of special relativity based on the c-invariance postulate but independent of the assumption ds′2=±ds2 (Einstein [1], Kittel et al [2], Recami [3], the equivalence principle, homogeneity of space-time, isotropy of space, group properties and linearity of space-time transformations or the coincidence of the origins of inertial space-time frames. The mathematical formalism is simpler than Einstein's [4] and Recami's [3]. Whilst Einstein's subluminal and Recami's superluminal theories are rederived in this paper by further assuming the equivalence principle and “mathematical inverses” [4,3], this paper derives (independent of these assumptions with physico-mathematical motivation an alternate singularity-free special-relativistic theory which replaces Einstein's factor [1/(1−V2/c2]12 and Recami's extended-relativistic factor [1/(V2/c2−1]12 by [(1−(V2/c2n/(1−V2/c2]12, where n equals the value of (m(V/m02 as |V|→c. In this theory both Newton's and Einstein's subluminal theories are experimentally valid on account of negligible terms. This theory implies that non-zero rest mass luxons will not be detected as ordinary non-zero rest mass bradyons because of spatial collapse, and non-zero rest mass tachyons are undetectable because they exist in another cosmos, resulting in a supercosmos of matter, with the possibility of infinitely many such supercosmoses, all moving forward in time. Furthermore this theory is not based on any assumption giving rise to the twin paradox controversy. The paper concludes with a discussion of the implications of this theory for general relativity.

  7. Possible violations of the relativity theory

    International Nuclear Information System (INIS)

    Tiomno, J.

    1985-01-01

    A review of previous works of the author and collaborators on possible violations of the Theory of Relativity (SR) is made. It is shown that there is no contradiction of the predictions of the Lorentz Aether Theory, in the form presented in these papers, with existing experiments. Further experiments to detect these violations (or to confirm SR) are indicated. (Author) [pt

  8. On the Finsler relativity theory

    International Nuclear Information System (INIS)

    Asanov, G.S.

    1980-01-01

    Possibility for revealing the Finsler metric space-time properties in kinematics and dynamics of local nonprobe particles is investigated. Spherically-symmetric S particle in a static gravitational field is considered. It is shown that S particle follows S line of a ''renormalized'' gravitational field. The situation is alternative to the case of a probe particle. It is also shown that the Finsler properties of real space-time can be revealed in kinematic and ''dynamics of S particles relative to a ''nonrenormalization'' field. So, the Finsler kinematic dualism is the geometrical analogue of physical dualism between probe particles and S particles. Noted are difficulties related to problems of determining the Lagrangian density for the gravitational field which leads to the Finsler geodesic ones

  9. Deformed special relativity with an invariant minimum speed and its ...

    Indian Academy of Sciences (India)

    On the other hand, according to special relativity (SR), the momentum cannot ... Deformed special relativity with an invariant minimum speed ..... However, we need to show that there is an anti-gravitational interaction between the ordinary proof mass m and the big sphere with a 'dark mass' of vacuum (MΛ), but let us first ...

  10. Modern approach to relativity theory (radar formulation)

    International Nuclear Information System (INIS)

    Strel'tsov, V.N.

    1991-01-01

    The main peculiarities of the radar formulation of the relativity theory are presented. This formulation operates with the retarded (light) distances and relativistic or radar length introduced on their basis. 21 refs.; 1 tab

  11. On experiments to detect possible failures of relativity theory

    International Nuclear Information System (INIS)

    Rodrigues Junior, W.A.; Tiomno, J.

    1985-01-01

    Two recently proposed experiments by Kolen and Torr, designed to show failures of Einstein's Special Relativity (SR) are analysed. It is pointed out that these papers contain a number of imprecisions and misconceptions which are cleared out. Also the very spread misconception about anysotropy of propagation of light in vacuum in Lorentz Aether Theory (LAT) is analysed showing that the anysotropy is only a coordinate effect. Comparison of the correct results in LAT theory, leading to violation of SR, with new theoretical and experimental results of Torr et al is made. Some of these new results are shown to be incorrect and/or inconsistent with both SR and LAT. (Author) [pt

  12. Conformal Field Theory, Automorphic Forms and Related Topics

    CERN Document Server

    Weissauer, Rainer; CFT 2011

    2014-01-01

    This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.   The mathematical theory of VOAs originated from the famous monstrous moonshine conjectures of J.H. Conway and S.P. Norton, which predicted a deep relationship between the characters of the largest simple finite sporadic group, the Monster, and the theory of modular forms inspired by the observations of J. MacKay and J. Thompson.   The contributions are based on lectures delivered at the 2011 conference on Conformal Field Theory, Automorphic Forms and Related Topics, organized by the editors as part of a special program offered at Heidelberg University that summer under the sponsorship of the MAThematics Center Heidelberg (MATCH).

  13. Supervision of Special Education Instruction in Rural Public School Districts: A Grounded Theory

    OpenAIRE

    Bays, Debora Ann

    2001-01-01

    The grounded theory presented in this study describes how the supervision of special education instruction occurs in public elementary schools in rural settings. Grounded theory methodology (Strauss & Corbin, 1998) was employed in this study. Nine elementary schools in three rural districts in the state of Virginia participated in the study. Interview data were collected from 34 participants, including special and general education teachers, principals, and directors of special education. Obs...

  14. Derivation of special relativity from Maxwell and Newton.

    Science.gov (United States)

    Dunstan, D J

    2008-05-28

    Special relativity derives directly from the principle of relativity and from Newton's laws of motion with a single undetermined parameter, which is found from Faraday's and Ampère's experimental work and from Maxwell's own introduction of the displacement current to be the -c(-2) term in the Lorentz transformations. The axiom of the constancy of the speed of light is quite unnecessary. The behaviour and the mechanism of the propagation of light are not at the foundations of special relativity.

  15. Observers and Their Notion of Spacetime beyond Special Relativity

    Directory of Open Access Journals (Sweden)

    José Manuel Carmona

    2018-06-01

    Full Text Available It is plausible that quantum gravity effects may lead us to a description of Nature beyond the framework of special relativity. In this case, either the relativity principle is broken or it is maintained. These two scenarios (a violation or a deformation of special relativity are very different, both conceptually and phenomenologically. We discuss some of their implications on the description of events for different observers and the notion of spacetime.

  16. Blue Road Approach to Special Relativity

    Science.gov (United States)

    Huggins, Elisha

    2012-01-01

    In 1968, Robert Brehme wrote a carefully crafted paper on "The Advantage of Teaching Relativity with Four-Vectors." In his abstract he points out that "the emphasis on relativistic mass is both undeserved and misleading." Our approach is to find the best way to teach introductory physics in a way that includes modern physics. We have found that by…

  17. Victories and defeats in general relativity theory

    International Nuclear Information System (INIS)

    Moeller, C.

    1977-01-01

    Only within the last 20 years has it been possible to conduct far-reaching experimental tests of the validity of Einstein's General Relativity Theory. Experimental confirmation in some fields is embarrassed by considerable difficulties in applying the theory to cosmic systems, which indicate that such major systems lie at the limit of the theory's applicability. The lecture here reproduced discusses both the successes and the limitations of the theory, starting with its replacement of the absolute space-time theory of Newton and its historical replacement by the relativistic gravitational postulates of Einstein which, in spite of its more complicated postulates, nevertheless introduced a great simplicity and comprehensiveness into the overall conception of nature. This theoretical 'beauty', however, can only be trusted if vindicated experimentally, which has to a considerable extent proved to be the case. For weak fields Newtonian and Einsteinian concepts coincide, while for stronger fields, and velocities not far from that of light, Einstein's theory is superior, giving,for example, an excellent correspondence with the precession of the perehelion of Mercury. On a larger scale, however, the theory appears to lead to conclusions which would invalidate the very concepts of space and time, even within a finite time-interval. A more generalized theory seems to be required. (A.D.N.)

  18. Statistical mechanics in the context of special relativity.

    Science.gov (United States)

    Kaniadakis, G

    2002-11-01

    In Ref. [Physica A 296, 405 (2001)], starting from the one parameter deformation of the exponential function exp(kappa)(x)=(sqrt[1+kappa(2)x(2)]+kappax)(1/kappa), a statistical mechanics has been constructed which reduces to the ordinary Boltzmann-Gibbs statistical mechanics as the deformation parameter kappa approaches to zero. The distribution f=exp(kappa)(-beta E+betamu) obtained within this statistical mechanics shows a power law tail and depends on the nonspecified parameter beta, containing all the information about the temperature of the system. On the other hand, the entropic form S(kappa)= integral d(3)p(c(kappa) f(1+kappa)+c(-kappa) f(1-kappa)), which after maximization produces the distribution f and reduces to the standard Boltzmann-Shannon entropy S0 as kappa-->0, contains the coefficient c(kappa) whose expression involves, beside the Boltzmann constant, another nonspecified parameter alpha. In the present effort we show that S(kappa) is the unique existing entropy obtained by a continuous deformation of S0 and preserving unaltered its fundamental properties of concavity, additivity, and extensivity. These properties of S(kappa) permit to determine unequivocally the values of the above mentioned parameters beta and alpha. Subsequently, we explain the origin of the deformation mechanism introduced by kappa and show that this deformation emerges naturally within the Einstein special relativity. Furthermore, we extend the theory in order to treat statistical systems in a time dependent and relativistic context. Then, we show that it is possible to determine in a self consistent scheme within the special relativity the values of the free parameter kappa which results to depend on the light speed c and reduces to zero as c--> infinity recovering in this way the ordinary statistical mechanics and thermodynamics. The statistical mechanics here presented, does not contain free parameters, preserves unaltered the mathematical and epistemological structure of

  19. Between general relativity and quantum theory

    International Nuclear Information System (INIS)

    Rayski, J.

    1982-01-01

    Some possibilities of reconciling general relativity with quantum theory are discussed. The procedure of quantization is certainly not unique, but depends upon the choice of the coordinate conditions. Most versions of quantization predict the existence of gravitons, but it is also possible to formulate a quantum theory with a classical gravity whereby the expectation values of Tsub(μν) constitute the sources of the classical metric field. (author)

  20. Quadratic mass relations in topological bootstrap theory

    International Nuclear Information System (INIS)

    Jones, C.E.; Uschersohn, J.

    1980-01-01

    From the requirement of reality of discontinuities of scattering amplitudes at the spherical level of the topological bootstrap theory, a large number of mass relations for hadrons is derived. Quadratic mass formulas for the symmetry-breaking pattern of both mesons and baryon is obtained and their relation to conventional models of symmetry breaking is briefly discussed

  1. A Case Study of Conceptual Change in Special Relativity: The Influence of Prior Knowledge in Learning.

    Science.gov (United States)

    Hewson, Peter W.

    1982-01-01

    Results of a case study (one graduate physics tutor) demonstrate that a person's conceptions, which include metaphysical commitments, play a significant role in the way s/he understands complex subject matter such as Einstein's Special Theory of Relativity. (Author/SK)

  2. A Comparison of Kinetic Energy and Momentum in Special Relativity and Classical Mechanics

    Science.gov (United States)

    Riggs, Peter J.

    2016-01-01

    Kinetic energy and momentum are indispensable dynamical quantities in both the special theory of relativity and in classical mechanics. Although momentum and kinetic energy are central to understanding dynamics, the differences between their relativistic and classical notions have not always received adequate treatment in undergraduate teaching.…

  3. The Doppler effect and the three most famous experiments for special relativity

    Science.gov (United States)

    Klinaku, Shukri

    Using the general formula for the Doppler effect at any arbitrary angle, the three famous experiments for special theory of relativity will be examined. Explanation of the experiments of Michelson, Kennedy-Thorndike and Ives-Stilwell will be given in a precise and elegant way without postulates, arbitrary assumptions or approximations.

  4. Relations between grand unified and monopole theories

    International Nuclear Information System (INIS)

    Olive, D.I.

    1983-01-01

    Two kinds of interrelationships between GUTs and monopole theories are discussed: how the duality conjectures could have a bearing on understanding GUTs, and how some of the mathematical technology used in monopole studies can yield simple (Dynkin) diagrammatic rules for some of the common GUT group theory calculations. A compact notation for semisimple Lie algebras is supplied by Dynkin diagrams. Minimal fundamental weights are seen to define minimal representations into which matter may be placed, and also define a special direction for the adjoint Higgs field. Minimal weights play a special role, therefore, both in defining matter multiplets and in symmetry breaking. After considering gauge groups G broken down to U(1) X K/Z (with K semisimple) by an adjoint representation (AR) Higgs, it is asked how the representations of G will look when decomposed into irreducible representations of U(1) X K, by proving two theorems as given. The point is pedagogical: using concepts like the Weyl group, practical calculations can be performed with simple Dynkin diagrams

  5. Development of Einstein's general theory of relativity

    International Nuclear Information System (INIS)

    Datta, B.K.

    1980-01-01

    Starting from Poincare's Lorentz-invariant theory of gravity formulated in 1906, development of Einstein's general theory of relativity during 1906-1916 is discussed. Three stages in this development are recognised. In the first stage during 1907-1914, Einstein tried to extend the relativity principle of uniform motion to the frames in non-uniform motion. For this purpose, he introduced the principle of equivalence which made it possible to calculate the effect of homogeneous gravitational field on arbitrary physical processes. During the second stage comprising years 1912-1914 overlapping the first stage, Einstein and Grossmann were struggling to translate physical postulates into the language of the absolute differential calculus. In the period 1915-1916, Einstein formulated the field equations of general relativity. While discussing these developmental stages, theories of gravitation formulated by Abraham, Nordstroem and Mie are also discussed. (M.G.B.)

  6. Oscillations of rigid bar in the special relativity

    International Nuclear Information System (INIS)

    Paiva, F.M.; Teixeira, A.F.F.

    2011-12-01

    In the special relativity, a rigid bar slides on herself, with a extreme oscillating harmonically. We have discovered at the movement amplitude and in the bar length, indispensable for the elimination of non physical solutions

  7. From special relativity to quantum mechanics through interval

    International Nuclear Information System (INIS)

    Malcor, R.

    1985-01-01

    Quantum mechanics is an optics with one more spatial dimension, the angle of phase. Wave-particle duality is nothing else than geometric tangent-point duality. The 'interval' of special relativity is proportional to the phase

  8. General and special education teachers' relations within teamwork ...

    African Journals Online (AJOL)

    and instruction, assessment and evaluation, and classroom management and behavior. Typically, the ... teaching techniques and learning processes. ... general objective of this research is to establish the relations of general and special.

  9. Revisiting special relativity: a natural algebraic alternative to Minkowski spacetime.

    Directory of Open Access Journals (Sweden)

    James M Chappell

    Full Text Available Minkowski famously introduced the concept of a space-time continuum in 1908, merging the three dimensions of space with an imaginary time dimension [Formula: see text], with the unit imaginary producing the correct spacetime distance [Formula: see text], and the results of Einstein's then recently developed theory of special relativity, thus providing an explanation for Einstein's theory in terms of the structure of space and time. As an alternative to a planar Minkowski space-time of two space dimensions and one time dimension, we replace the unit imaginary [Formula: see text], with the Clifford bivector [Formula: see text] for the plane that also squares to minus one, but which can be included without the addition of an extra dimension, as it is an integral part of the real Cartesian plane with the orthonormal basis [Formula: see text] and [Formula: see text]. We find that with this model of planar spacetime, using a two-dimensional Clifford multivector, the spacetime metric and the Lorentz transformations follow immediately as properties of the algebra. This also leads to momentum and energy being represented as components of a multivector and we give a new efficient derivation of Compton's scattering formula, and a simple formulation of Dirac's and Maxwell's equations. Based on the mathematical structure of the multivector, we produce a semi-classical model of massive particles, which can then be viewed as the origin of the Minkowski spacetime structure and thus a deeper explanation for relativistic effects. We also find a new perspective on the nature of time, which is now given a precise mathematical definition as the bivector of the plane.

  10. Revisiting special relativity: a natural algebraic alternative to Minkowski spacetime.

    Science.gov (United States)

    Chappell, James M; Iqbal, Azhar; Iannella, Nicolangelo; Abbott, Derek

    2012-01-01

    Minkowski famously introduced the concept of a space-time continuum in 1908, merging the three dimensions of space with an imaginary time dimension [Formula: see text], with the unit imaginary producing the correct spacetime distance [Formula: see text], and the results of Einstein's then recently developed theory of special relativity, thus providing an explanation for Einstein's theory in terms of the structure of space and time. As an alternative to a planar Minkowski space-time of two space dimensions and one time dimension, we replace the unit imaginary [Formula: see text], with the Clifford bivector [Formula: see text] for the plane that also squares to minus one, but which can be included without the addition of an extra dimension, as it is an integral part of the real Cartesian plane with the orthonormal basis [Formula: see text] and [Formula: see text]. We find that with this model of planar spacetime, using a two-dimensional Clifford multivector, the spacetime metric and the Lorentz transformations follow immediately as properties of the algebra. This also leads to momentum and energy being represented as components of a multivector and we give a new efficient derivation of Compton's scattering formula, and a simple formulation of Dirac's and Maxwell's equations. Based on the mathematical structure of the multivector, we produce a semi-classical model of massive particles, which can then be viewed as the origin of the Minkowski spacetime structure and thus a deeper explanation for relativistic effects. We also find a new perspective on the nature of time, which is now given a precise mathematical definition as the bivector of the plane.

  11. Revisiting Special Relativity: A Natural Algebraic Alternative to Minkowski Spacetime

    Science.gov (United States)

    Chappell, James M.; Iqbal, Azhar; Iannella, Nicolangelo; Abbott, Derek

    2012-01-01

    Minkowski famously introduced the concept of a space-time continuum in 1908, merging the three dimensions of space with an imaginary time dimension , with the unit imaginary producing the correct spacetime distance , and the results of Einstein’s then recently developed theory of special relativity, thus providing an explanation for Einstein’s theory in terms of the structure of space and time. As an alternative to a planar Minkowski space-time of two space dimensions and one time dimension, we replace the unit imaginary , with the Clifford bivector for the plane that also squares to minus one, but which can be included without the addition of an extra dimension, as it is an integral part of the real Cartesian plane with the orthonormal basis and . We find that with this model of planar spacetime, using a two-dimensional Clifford multivector, the spacetime metric and the Lorentz transformations follow immediately as properties of the algebra. This also leads to momentum and energy being represented as components of a multivector and we give a new efficient derivation of Compton’s scattering formula, and a simple formulation of Dirac’s and Maxwell’s equations. Based on the mathematical structure of the multivector, we produce a semi-classical model of massive particles, which can then be viewed as the origin of the Minkowski spacetime structure and thus a deeper explanation for relativistic effects. We also find a new perspective on the nature of time, which is now given a precise mathematical definition as the bivector of the plane. PMID:23300566

  12. Longitudinal Relations between Theory of Mind and Metacognition and the Impact of Language

    Science.gov (United States)

    Ebert, Susanne

    2015-01-01

    This study investigated the longitudinal relation between children's theory of mind and their metacognitive knowledge with a special focus on the impact of language on this relation. Measures of theory-of-mind understanding and metamemory knowledge were assessed in 133 3-year-old children at 4 measurement points separated by half-year intervals.…

  13. Airy's and Klinkerfues' experiments incompatible with special relativity

    International Nuclear Information System (INIS)

    Wilczyn'ski, J.

    1986-01-01

    One Airy's and two Klinkerfues' experiments and their results are analysed in details; the mistakes committed by Klinkerfues in his consideration and derivation are corrected. Each of these results finds no explanation in Einstein's special theory of relativity (STR). The so-called relativistic 'aberrational refraction' in the aberration effect ought to be rejected with further consequences in STR. Each of the experiments confirms the explanation given by classical physics but with the drag co-efficient K equal to k 2 =1-1/n instead of to k=1-1/n 2 (n-the refractive index). And, in agreement with this author's derivation for K=k 2 , the independence of t he starlight aberration of filling really exists only in Airy's telescope and does not exist in Klinkerfues' lunette. Because K not equal to k in the experiments, the method used in the first Klinkerfues experiment is a one to measure the absolute values of both aberration and Earth's speed V at one point of the Earth's orbit. The value of 30 km/s, received in the experiment, finds its explanation in a new model of ether and light. The singularity of the instrument with broken tube is revealed. The deflection effect at reflection of starlight from a moving mirror is confirmed in Klinkerfues' experiments. (author). 58 refs

  14. On the relation of the theoretical foundations of quantum theory and general relativity theory

    International Nuclear Information System (INIS)

    Kober, Martin

    2010-01-01

    The specific content of the present thesis is presented in the following way. First the most important contents of quantum theory and general relativity theory are presented. In connection with the general relativity theory the mathematical property of the diffeomorphism invariance plays the deciding role, while concerning the quantum theory starting from the Copenhagen interpretation first the measurement problem is treated, before basing on the analysis of concrete phenomena and the mathematical apparatus of quantum theory the nonlocality is brought into focus as an important property. This means that both theories suggest a relationalistic view of the nature of the space. This analysis of the theoretical foundations of quantum theory and general relativity theory in relation to the nature of the space obtains only under inclusion of Kant's philosophy and his analysis of the terms space and time as fundamental forms of perception its full persuasive power. Then von Weizsaeckers quantum theory of the ur-alternatives is presented. Finally attempts are made to apply the obtained knowledge to the question of the quantum-theoretical formulation of general relativity theory.

  15. On Certain Conceptual Anomalies in Einstein's Theory of Relativity

    Directory of Open Access Journals (Sweden)

    Crothers S. J.

    2008-01-01

    Full Text Available There are a number of conceptual anomalies occurring in the Standard exposition of Einstein's Theory of Relativity. These anomalies relate to issues in both mathematics and in physics and penetrate to the very heart of Einstein's theory. This paper reveals and amplifies a few such anomalies, including the fact that Einstein's field equations for the so-called static vacuum configuration, $R_{mu u} = 0$, violates his Principle of Equivalence, and is therefore erroneous. This has a direct bearing on the usual concept of conservation of energy for the gravitational field and the conventional formulation for localisation of energy using Einstein's pseudo-tensor. Misconceptions as to the relationship between Minkowski spacetime and Special Relativity are also discussed, along with their relationships to the pseudo-Riemannian metric manifold of Einstein's gravitational field, and their fundamental geometric structures pertaining to spherical symmetry.

  16. On Certain Conceptual Anomalies in Einstein's Theory of Relativity

    Directory of Open Access Journals (Sweden)

    Crothers S. J.

    2008-01-01

    Full Text Available There are a number of conceptual anomalies occurring in the Standard exposition of Einstein’s Theory of Relativity. These anomalies relate to issues in both mathematics and in physics and penetrate to the very heart of Einstein’s theory. This paper reveals and amplifies a few such anomalies, including the fact that Einstein’s field equations for the so-called static vacuum configuration, R = 0 , violates his Principle of Equiv- alence, and is therefore erroneous. This has a direct bearing on the usual concept of conservation of energy for the gravitational field and the conventional formulation for localisation of energy using Einstein’s pseudo-tensor. Misconceptions as to the relationship between Minkowski spacetime and Special Relativity are also discussed, along with their relationships to the pseudo-Riemannian metric manifold of Einstein’s gravitational field, and their fundamental geometric structures pertaining to spherical symmetry.

  17. Reasonable fermionic quantum information theories require relativity

    International Nuclear Information System (INIS)

    Friis, Nicolai

    2016-01-01

    We show that any quantum information theory based on anticommuting operators must be supplemented by a superselection rule deeply rooted in relativity to establish a reasonable notion of entanglement. While quantum information may be encoded in the fermionic Fock space, the unrestricted theory has a peculiar feature: the marginals of bipartite pure states need not have identical entropies, which leads to an ambiguous definition of entanglement. We solve this problem, by proving that it is removed by relativity, i.e., by the parity superselection rule that arises from Lorentz invariance via the spin-statistics connection. Our results hence unveil a fundamental conceptual inseparability of quantum information and the causal structure of relativistic field theory. (paper)

  18. Behavioral Theory and Culture Special Issue: Authors' Response to Commentaries

    Science.gov (United States)

    Pasick, Rena J.; Burke, Nancy J.; Joseph, Galen

    2009-01-01

    This article presents the authors' response to commentaries that focus on the "Behavioral Constructs and Culture in Cancer Screening" (3Cs) study. The 3Cs study had an unremarkable beginning, with two colleagues discussing their frustration over the narrow range of behavioral theories and the limited guidance the theories offered for a study…

  19. A New Model of Special Relativity and the Relationship between the Time Warps of General and Special Relativity

    Science.gov (United States)

    Stannard, Warren B.

    2018-01-01

    Einstein's two theories of relativity were introduced over 100 years ago. High school science students are seldom exposed to these revolutionary ideas as they are often perceived to be too difficult conceptually and mathematically. This paper brings together the two theories of relativity in a way that is logical and consistent and enables the…

  20. Consistency relations in effective field theory

    Energy Technology Data Exchange (ETDEWEB)

    Munshi, Dipak; Regan, Donough, E-mail: D.Munshi@sussex.ac.uk, E-mail: D.Regan@sussex.ac.uk [Astronomy Centre, School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH (United Kingdom)

    2017-06-01

    The consistency relations in large scale structure relate the lower-order correlation functions with their higher-order counterparts. They are direct outcome of the underlying symmetries of a dynamical system and can be tested using data from future surveys such as Euclid. Using techniques from standard perturbation theory (SPT), previous studies of consistency relation have concentrated on continuity-momentum (Euler)-Poisson system of an ideal fluid. We investigate the consistency relations in effective field theory (EFT) which adjusts the SPT predictions to account for the departure from the ideal fluid description on small scales. We provide detailed results for the 3D density contrast δ as well as the scaled divergence of velocity θ-bar . Assuming a ΛCDM background cosmology, we find the correction to SPT results becomes important at k ∼> 0.05 h/Mpc and that the suppression from EFT to SPT results that scales as square of the wave number k , can reach 40% of the total at k ≈ 0.25 h/Mpc at z = 0. We have also investigated whether effective field theory corrections to models of primordial non-Gaussianity can alter the squeezed limit behaviour, finding the results to be rather insensitive to these counterterms. In addition, we present the EFT corrections to the squeezed limit of the bispectrum in redshift space which may be of interest for tests of theories of modified gravity.

  1. Connecting and unmasking relativity and quantum theory

    NARCIS (Netherlands)

    Koning, de W.L.; Willigenburg, van L.G.

    2015-01-01

    The answer lies right in front of us, but we refuse to see it. Both relativity and quantum theory, the two pillars of fundamental physics, are modified in this paper to make them also explain the physical phenomena they describe. With this explanation, all current inconsistencies between the two

  2. Albert Einstein and the relativity theory

    International Nuclear Information System (INIS)

    Pavlickova, E.

    1975-01-01

    A bibliography is presented of Albert Einstein's works, listing his correspondence, biographical literature, articles on A. Einstein published in Czech journals, principal relativity theory monographs and popular, historical and philosophical publications. The bibliographical records are listed alphabetically. Most references give the abbreviations of libraries where the publications are available. (J.P.)

  3. New relations for gauge-theory amplitudes

    International Nuclear Information System (INIS)

    Bern, Z.; Carrasco, J. J. M.; Johansson, H.

    2008-01-01

    We present an identity satisfied by the kinematic factors of diagrams describing the tree amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi identity for color factors. Using this we find new relations between color-ordered partial amplitudes. We discuss applications to multiloop calculations via the unitarity method. In particular, we illustrate the relations between different contributions to a two-loop four-point QCD amplitude. We also use this identity to reorganize gravity tree amplitudes diagram by diagram, offering new insight into the structure of the Kawai-Lewellen-Tye (KLT) relations between gauge and gravity tree amplitudes. This insight leads to similar but novel relations. We expect this to be helpful in higher-loop studies of the ultraviolet properties of gravity theories.

  4. The theory of relativity and super-light-speeds-I: Kinematical part

    International Nuclear Information System (INIS)

    Cao Shenglin.

    1987-05-01

    According to some local properties of Lorentz transformation, Einstein stated: ''Velocities greater than that of light have no possibility of existence''. He neglected to point out the applicable range of the special theory of relativity. In fact, it could only be applied to the sub-light-speed. This paper shows that if we think of the possibility of the existence of the super-light-speed and redescribe the special theory of relativity following Einstein's way, a new kinematical theory would be founded. The new theory would retain all kinematical meaning of the special theory of relativity when matters move with sub-light-speed and would give new content when matters move with super-light-speed. The paper also discusses the observation principle for the motions with the super-light-speed. (author). 2 refs, 1 fig

  5. Constructing a chinese international relations theory

    DEFF Research Database (Denmark)

    Kristensen, P.M.; Nielsen, R.T.

    2013-01-01

    Chinese scholars are debating whether, and how, to innovate a Chinese theory of International Relations (IR). This article examines the driving forces behind this theoretical debate. It challenges the commonsensical link between external events in the subject matter (i.r.) and theorizing (IR......), which suggests that the innovation of a Chinese IR theory is a natural product of China's geopolitical rise, its growing political ambitions, and discontent with Western hegemony. We propose instead a sociological approach to intellectual innovation which opens the black box of knowledge production...... attention from their peers-theorizing a Chinese IR theory being one important way of doing this. The external layer-which ranges from power politics to sociopolitical developments-affects this process indirectly by providing more research funds and autonomy to the more immediate institutional environment...

  6. Recursive relations for a quiver gauge theory

    International Nuclear Information System (INIS)

    Park, Jaemo; Sim, Woojoo

    2006-01-01

    We study the recursive relations for a quiver gauge theory with the gauge group SU(N 1 ) x SU(N 2 ) with bifundamental fermions transforming as (N 1 , N-bar 2 ). We work out the recursive relation for the amplitudes involving a pair of quark and antiquark and gluons of each gauge group. We realize directly in the recursive relations the invariance under the order preserving permutations of the gluons of the first and the second gauge group. We check the proposed relations for MHV, 6-point and 7-point amplitudes and find the agreements with the known results and the known relations with the single gauge group amplitudes. The proposed recursive relation is much more efficient in calculating the amplitudes than using the known relations with the amplitudes of the single gauge group

  7. Special Relativity in Week One: 1) The Principle of Relativity

    Science.gov (United States)

    Huggins, Elisha

    2011-01-01

    We like to begin an introductory physics course with a law of physics that applies to everything, has no known exceptions, and whose consequences are already familiar to students. That law is the principle of relativity. By focusing on the principle of relativity itself, and a careful selection of the thought experiments, we can comfortably…

  8. Reintroducing the concept of force into relativity theory

    International Nuclear Information System (INIS)

    Mahajan, S.; Qadir, A.; Valanju, P.

    1979-07-01

    It is suggested that re-introducing forces into relativity theory may provide new insights and results. A look at the Kerr-Newmann geometry, and special cases of it, from this viewpoint indicates that there can be a short range repulsion in general. This repulsion suggests that naked singularities may be physically feasible. It is also found that there is a gravito-electric repulsion which would be important to consider in a grand unification scheme of strong, weak and electromagnetic forces. 8 references

  9. Reintroducing the concept of force into relativity theory

    Energy Technology Data Exchange (ETDEWEB)

    Mahajan, S.; Qadir, A.; Valanju, P.

    1979-07-01

    It is suggested that re-introducing forces into relativity theory may provide new insights and results. A look at the Kerr-Newmann geometry, and special cases of it, from this viewpoint indicates that there can be a short range repulsion in general. This repulsion suggests that naked singularities may be physically feasible. It is also found that there is a gravito-electric repulsion which would be important to consider in a grand unification scheme of strong, weak and electromagnetic forces. 8 references.

  10. Fuzzy relational calculus theory, applications and software

    CERN Document Server

    Peeva, Ketty

    2004-01-01

    This book examines fuzzy relational calculus theory with applications in various engineering subjects. The scope of the text covers unified and exact methods with algorithms for direct and inverse problem resolution in fuzzy relational calculus. Extensive engineering applications of fuzzy relation compositions and fuzzy linear systems (linear, relational and intuitionistic) are discussed. Some examples of such applications include solutions of equivalence, reduction and minimization problems in fuzzy machines, pattern recognition in fuzzy languages, optimization and inference engines in textile and chemical engineering, etc. A comprehensive overview of the authors' original work in fuzzy relational calculus is also provided in each chapter. The attached CD-Rom contains a toolbox with many functions for fuzzy calculations, together with an original algorithm for inverse problem resolution in MATLAB. This book is also suitable for use as a textbook in related courses at advanced undergraduate and graduate level...

  11. Ideal related K-theory with coefficients

    DEFF Research Database (Denmark)

    Eilers, Soren; Restorff, Gunnar; Ruiz, Efren

    2017-01-01

    In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help...... to determine the new groups, and will in a companion paper be used to prove a universal multi-coefficient theorem for the one distinguished ideal case for a large class of algebras......In this paper, we define an invariant, which we believe should be the substitute for total K-theory in the case when there is one distinguished ideal. Moreover, some diagrams relating the new groups to the ordinary K-groups with coefficients are constructed. These diagrams will in most cases help...

  12. Testing Special Relativity at High Energies with Astrophysical Sources

    Science.gov (United States)

    Stecker, F. W.

    2007-01-01

    Since the group of Lorentz boosts is unbounded, there is a question as to whether Lorentz invariance (LI) holds to infinitely short distances. However, special and general relativity may break down at the Planck scale. Various quantum gravity scenarios such as loop quantum gravity, as well as some forms of string theory and extra dimension models may imply Lorentz violation (LV) at ultrahigh energies. The Gamma-Ray Large Area Space Telescope (GLAST), to be launched in mid-December, will measure the spectra of distant extragalactic sources of high energy gamma-rays, particularly active galactic nuclei and gamma-ray bursts. GLAST can look for energy-dependent gamma-ray propagation effects from such sources as a signal of Lorentz invariance violation. These sources may also exhibit the high energy cutoffs predicted to be the result of intergalactic annihilation interactions with low energy photons having a flux level as determined by various astronomical observations. With LV the threshold for such interactions can be significantly raised, changing the predicted absorption turnover in the observed spectrum of the sources. Stecker and Glashow have shown that the existence such absorption features in the spectra of extragalactic sources puts constraints on LV. Such constraints have important implications for some quantum gravity and large extra dimension models. Future spaceborne detectors dedicated to measuring gamma-ray polarization can look for birefringence effects as a possible signal of loop quantum gravity. A very small LV may also result in the modification or elimination of the GZK effect, thus modifying the spectrum of ultrahigh energy cosmic rays. This possibility can be explored with ground-based arrays such as Auger or with a space based detector system such as the proposed OWL satellite mission.

  13. Relational Compositions in Fuzzy Class Theory

    Czech Academy of Sciences Publication Activity Database

    Běhounek, Libor; Daňková, M.

    2009-01-01

    Roč. 160, č. 8 (2009), s. 1005-1036 ISSN 0165-0114 R&D Pro jects: GA AV ČR KJB100300502 Institutional research plan: CEZ:AV0Z10300504 Keywords : fuzzy relation * sup-T-composition * inf-R-composition * BK- pro duct * fuzzy class theory * formal truth value Subject RIV: BA - General Mathematics Impact factor: 2.138, year: 2009

  14. Relativity theory (a bibliography with abstracts). Report for 1970--1976

    International Nuclear Information System (INIS)

    Grooms, D.W.

    1976-03-01

    Research studies are presented on special and general relativity. Gravitational theory, field theory, and space--time studies are included as are studies involving the Minkowski space, the Schrodinger equations, the Dirac equations, and the Lorentz transformations. (This updated bibliography contains 136 abstracts, 4 of which are new entries to the previous edition.)

  15. Build of virtual instrument laboratory related to nuclear species specialized

    International Nuclear Information System (INIS)

    Shan Jian; Zhao Guizhi; Zhao Xiuliang; Tang Lingzhi

    2009-01-01

    As rapid development of specialized related to nuclear science,the requirement of laboratory construct is analyzed in this article at first, One total conceive, One scheme deploy soft and hardware,three concrete characteristics targets and five different phases of put in practice of virtual instrument laboratory of specialized related to nuclear science are suggest in the paper,the concrete hardware structure and the headway of build of virtual instrument laboratory are described,and the first step effect is introduced.Lastly,the forward target and the further deliberateness that the virtual instrument laboratory construct are set forth in the thesis. (authors)

  16. Thermal equilibrium and statistical thermometers in special relativity.

    Science.gov (United States)

    Cubero, David; Casado-Pascual, Jesús; Dunkel, Jörn; Talkner, Peter; Hänggi, Peter

    2007-10-26

    There is an intense debate in the recent literature about the correct generalization of Maxwell's velocity distribution in special relativity. The most frequently discussed candidate distributions include the Jüttner function as well as modifications thereof. Here we report results from fully relativistic one-dimensional molecular dynamics simulations that resolve the ambiguity. The numerical evidence unequivocally favors the Jüttner distribution. Moreover, our simulations illustrate that the concept of "thermal equilibrium" extends naturally to special relativity only if a many-particle system is spatially confined. They make evident that "temperature" can be statistically defined and measured in an observer frame independent way.

  17. Specialized mechanisms for theory of mind: are mental representations special because they are mental or because they are representations?

    Science.gov (United States)

    Cohen, Adam S; Sasaki, Joni Y; German, Tamsin C

    2015-03-01

    Does theory of mind depend on a capacity to reason about representations generally or on mechanisms selective for the processing of mental state representations? In four experiments, participants reasoned about beliefs (mental representations) and notes (non-mental, linguistic representations), which according to two prominent theories are closely matched representations because both are represented propositionally. Reaction times were faster and accuracies higher when participants endorsed or rejected statements about false beliefs than about false notes (Experiment 1), even when statements emphasized representational format (Experiment 2), which should have favored the activation of representation concepts. Experiments 3 and 4 ruled out a counterhypothesis that differences in task demands were responsible for the advantage in belief processing. These results demonstrate for the first time that understanding of mental and linguistic representations can be dissociated even though both may carry propositional content, supporting the theory that mechanisms governing theory of mind reasoning are narrowly specialized to process mental states, not representations more broadly. Extending this theory, we discuss whether less efficient processing of non-mental representations may be a by-product of mechanisms specialized for processing mental states. Crown Copyright © 2014. Published by Elsevier B.V. All rights reserved.

  18. Introduction to the Special Issue on the Theory of Human Values

    Directory of Open Access Journals (Sweden)

    Eldad Davidov

    2012-04-01

    Full Text Available Research on human values in the social sciences took of after Schwartz introduced his theory of basic human values in 1992. This special issue includes articles dealing with methods of data analysis applied to measurements of some or all of the values postulated by the theory and of other variables.

  19. The Development of Altruism with Special Reference to Human Relationships: A 10-Stage Theory

    Directory of Open Access Journals (Sweden)

    Hing Keung Ma

    2017-10-01

    Full Text Available All human relationships involve some form of cost and benefit and altruism forms the foundation upon which human relationships are built. In this paper, a taxonomy of human relationships in terms of altruism was constructed. In the proposed taxonomy, human relationships are categorized into three major groups: primary group, secondary group, and tertiary group. The primary group consists of members that are very closely related to each other either by genetic relatedness (e.g., parents, siblings, and cousins or social relatedness (e.g., mate and close friends or both. The secondary group consists of members that are socially related but also less closely related with each other (e.g., people of the same political or religious group, teachers, mentors, acquaintances, neighbors, working colleagues, and strangers. Lastly, the tertiary group consists of members of other species. A 10-stage theory of altruism with special reference to human relationships is proposed. The affective, cognitive, and relationship aspects of each stage are delineated in details. There are two developmental principles of altruism. The first principle states that the development of altruism follows the 10-stage theory and moves from Stage 1: Egoism toward the higher stages of altruism slowly. The second developmental principle states that the taxonomy of human relationships is valid at any stage of altruism development. In other words, people at any stage of altruism are more altruistic toward their kin and mate, and then close friends, extended family members, and so on. They are least altruistic toward enemies and members of non-human species. In summary, the proposed developmental principle of altruism and human relationships is logical and robust. It is formulated based on the major developmental and social psychological theories. The theory has the potential in providing a useful framework for future studies on the development and evolution of human relationships.

  20. The Development of Altruism with Special Reference to Human Relationships: A 10-Stage Theory.

    Science.gov (United States)

    Ma, Hing Keung

    2017-01-01

    All human relationships involve some form of cost and benefit and altruism forms the foundation upon which human relationships are built. In this paper, a taxonomy of human relationships in terms of altruism was constructed. In the proposed taxonomy, human relationships are categorized into three major groups: primary group, secondary group, and tertiary group. The primary group consists of members that are very closely related to each other either by genetic relatedness (e.g., parents, siblings, and cousins) or social relatedness (e.g., mate and close friends) or both. The secondary group consists of members that are socially related but also less closely related with each other (e.g., people of the same political or religious group, teachers, mentors, acquaintances, neighbors, working colleagues, and strangers). Lastly, the tertiary group consists of members of other species. A 10-stage theory of altruism with special reference to human relationships is proposed. The affective, cognitive, and relationship aspects of each stage are delineated in details. There are two developmental principles of altruism. The first principle states that the development of altruism follows the 10-stage theory and moves from Stage 1: Egoism toward the higher stages of altruism slowly. The second developmental principle states that the taxonomy of human relationships is valid at any stage of altruism development. In other words, people at any stage of altruism are more altruistic toward their kin and mate, and then close friends, extended family members, and so on. They are least altruistic toward enemies and members of non-human species. In summary, the proposed developmental principle of altruism and human relationships is logical and robust. It is formulated based on the major developmental and social psychological theories. The theory has the potential in providing a useful framework for future studies on the development and evolution of human relationships.

  1. The Development of Altruism with Special Reference to Human Relationships: A 10-Stage Theory

    Science.gov (United States)

    Ma, Hing Keung

    2017-01-01

    All human relationships involve some form of cost and benefit and altruism forms the foundation upon which human relationships are built. In this paper, a taxonomy of human relationships in terms of altruism was constructed. In the proposed taxonomy, human relationships are categorized into three major groups: primary group, secondary group, and tertiary group. The primary group consists of members that are very closely related to each other either by genetic relatedness (e.g., parents, siblings, and cousins) or social relatedness (e.g., mate and close friends) or both. The secondary group consists of members that are socially related but also less closely related with each other (e.g., people of the same political or religious group, teachers, mentors, acquaintances, neighbors, working colleagues, and strangers). Lastly, the tertiary group consists of members of other species. A 10-stage theory of altruism with special reference to human relationships is proposed. The affective, cognitive, and relationship aspects of each stage are delineated in details. There are two developmental principles of altruism. The first principle states that the development of altruism follows the 10-stage theory and moves from Stage 1: Egoism toward the higher stages of altruism slowly. The second developmental principle states that the taxonomy of human relationships is valid at any stage of altruism development. In other words, people at any stage of altruism are more altruistic toward their kin and mate, and then close friends, extended family members, and so on. They are least altruistic toward enemies and members of non-human species. In summary, the proposed developmental principle of altruism and human relationships is logical and robust. It is formulated based on the major developmental and social psychological theories. The theory has the potential in providing a useful framework for future studies on the development and evolution of human relationships. PMID:29085818

  2. A general theory of quantum relativity

    International Nuclear Information System (INIS)

    Minic, Djordje; Tze, C.-H.

    2004-01-01

    The geometric form of standard quantum mechanics is compatible with the two postulates: (1) the laws of physics are invariant under the choice of experimental setup and (2) every quantum observation or event is intrinsically statistical. These postulates remain compatible within a background independent extension of quantum theory with a local intrinsic time implying the relativity of the concept of a quantum event. In this extension the space of quantum events becomes dynamical and only individual quantum events make sense observationally. At the core of such a general theory of quantum relativity is the three-way interplay between the symplectic form, the dynamical metric and non-integrable almost complex structure of the space of quantum events. Such a formulation provides a missing conceptual ingredient in the search for a background independent quantum theory of gravity and matter. The crucial new technical element in our scheme derives from a set of recent mathematical results on certain infinite-dimensional almost Kahler manifolds which replace the complex projective spaces of standard quantum mechanics

  3. From twistor string theory to recursion relations

    International Nuclear Information System (INIS)

    Spradlin, Marcus; Volovich, Anastasia

    2009-01-01

    Witten's twistor string theory gives rise to an enigmatic formula 1 known as the 'connected prescription' for tree-level Yang-Mills scattering amplitudes. We derive a link representation for the connected prescription by Fourier transforming it to mixed coordinates in terms of both twistor and dual twistor variables. We show that it can be related to other representations of amplitudes by applying the global residue theorem to deform the contour of integration. For six and seven particles we demonstrate explicitly that certain contour deformations rewrite the connected prescription as the Britto-Cachazo-Feng-Witten representation, thereby establishing a concrete link between Witten's twistor string theory and the dual formulation for the S matrix of the N=4 SYM recently proposed by Arkani-Hamed et al. Other choices of integration contour also give rise to 'intermediate prescriptions'. We expect a similar though more intricate structure for more general amplitudes.

  4. Brownian motion, Minkowski space and principle of special relativity

    International Nuclear Information System (INIS)

    Caubet, J.-P.

    1977-01-01

    From the assumption that the brownian diffusion locally behaves like an ideal gas (pressure being inversely proportional to volume according to Boyle's law) one can deduce the signature +++- of the Minkowski space, the Lorentz addition of velocities, and the principle of special relativity [fr

  5. Does the Fizeau Experiment Really Test Special Relativity?

    Science.gov (United States)

    Clement, Gerard

    1980-01-01

    The motivation and interpretation of the Fizeau experiment are reviewed, and its status as a test of special relativity is discussed. It is shown, with the aid of a simplified, purely mechanical model of the propagation of light in matter, that the experiment actually cannot discriminate between Galilean and relativistic kinematics. (Author/SK)

  6. A Conceptual Derivation of Einstein's Postulates of Special Relativity.

    Science.gov (United States)

    Bearden, Thomas E.

    This document presents a discussion and conceptual derivation of Einstein's postulates of special relativity. The perceptron approach appears to be a fundamentally new manner of regarding physical phenomena and it is hoped that physicists will interest themselves in the concept. (Author)

  7. Experiments in Special Relativity Using Compton Scattering of Gamma Rays.

    Science.gov (United States)

    Egelstaff, P. A.; And Others

    1981-01-01

    Some simple undergraduate laboratory experiments are described, which verify the energy-momentum relationship of special relativity. These experiments have been designed either to be used as classroom demonstrations or to be carried out by second-year students. (Author/JN)

  8. Special Relativity in Week One: 4) Lack of Simultaneity

    Science.gov (United States)

    Huggins, Elisha

    2011-01-01

    This is our final article on teaching special relativity in the first week of an introductory physics course. One of the profound changes in our view of the world was Einstein's discovery of the lack of simultaneity. He illustrated this result with a thought experiment in which we observe a railroad car passing by us. We see the two ends of the…

  9. Special Relativity in Week One: 3) Introducing the Lorentz Contraction

    Science.gov (United States)

    Huggins, Elisha

    2011-01-01

    This is the third of four articles on teaching special relativity in the first week of an introductory physics course. With Einstein's second postulate that the speed of light is the same to all observers, we could use the light pulse clock to introduce time dilation. But we had difficulty introducing the Lorentz contraction until we saw the movie…

  10. A new model of special relativity and the relationship between the time warps of general and special relativity

    Science.gov (United States)

    Stannard, Warren B.

    2018-05-01

    Einstein’s two theories of relativity were introduced over 100 years ago. High school science students are seldom exposed to these revolutionary ideas as they are often perceived to be too difficult conceptually and mathematically. This paper brings together the two theories of relativity in a way that is logical and consistent and enables the teaching of relativity as a single subject. This paper introduces new models and analogies which are suitable for the teaching of Einstein’s relativity at a high school level, exposing students to our best understanding of time, space, matter and energy.

  11. Special relativity - from particles to astrophysics; Relativite restreinte - Des particules a l'astrophysique

    Energy Technology Data Exchange (ETDEWEB)

    Gourgoulhon, E. [Laboratoire de l' Univers et de ses Theories (LUTH), CNRS / Observatoire de Paris, 92 - Meudon (France)

    2010-07-01

    Special relativity is not a particular theory of physics but rather a theoretical framework through which various dynamical theories can be expressed. The main advantage of this book is to highlight the essential structures of special relativity before illustrating them with applications. One of these structures is the important Minkowski 4-dimensional space-time whose basic object is the quadri-vector. This mathematical framework is defined as early as the first chapter, which gives special relativity a more axiomatic approach than in other manuals. Another feature of this account of special relativity is to base the discussion of measurable physics effects on the point of view of a general observer who is no more restricted to be in a uniform motion, he can be accelerating or rotating. As a consequence the Lorentz transformation appears here less essential than in other presentations. In the second part of this book that begins with the 14. chapter, the main physical object is no more a particle but a field. The book ends with the issue of gravitation. The author highlights applications from particle physics (accelerators, particle collisions or quark-gluon plasmas), to astrophysics (relativistic jets or active cores of galaxies) via more practical applications such as Sagnac effect gyro-meters, synchrotron radiation or global positioning systems. (A.C.)

  12. Deformed special relativity as an effective flat limit of quantum gravity

    International Nuclear Information System (INIS)

    Girelli, Florian; Livine, Etera R.; Oriti, Daniele

    2005-01-01

    We argue that a (slightly) curved space-time probed with a finite resolution, equivalently a finite minimal length, is effectively described by a flat non-commutative space-time. More precisely, a small cosmological constant (so a constant curvature) leads the κ-deformed Poincare flat space-time of deformed special relativity (DSR) theories. This point of view eventually helps understanding some puzzling features of DSR. It also explains how DSR can be considered as an effective flat (low energy) limit of a (true) quantum gravity theory. This point of view leads us to consider a possible generalization of DSR to arbitrary curvature in momentum space and to speculate about a possible formulation of an effective quantum gravity model in these terms. It also leads us to suggest a doubly deformed special relativity framework for describing particle kinematics in an effective low energy description of quantum gravity

  13. The Extended Relativity Theory in Clifford Spaces

    CERN Document Server

    Castro, C

    2004-01-01

    A brief review of some of the most important features of the Extended Relativity theory in Clifford-spaces ( $C$-spaces) is presented whose " point" coordinates are noncommuting Clifford-valued quantities and which incoporate the lines, areas, volumes, .... degrees of freedom associated with the collective particle, string, membrane, ... dynamics of the $p$-loop histories (closed p-branes) living in target $D$-dimensional spacetime backgrounds. $C$-space Relativity naturally incoporates the ideas of an invariant length (Planck scale), maximal acceleration, noncommuting coordinates, supersymmetry, holography, superluminal propagation, higher derivative gravity with torsion and variable dimensions/signatures that allows to study the dynamics of all (closed ) p-branes, for all values of $ p $, in a unified footing. It resolves the ordering ambiguities in QFT and the problem of time in Cosmology. A discussion of the maximal-acceleration Relativity principle in phase-spaces follows along with the study of the inva...

  14. The Doppler effect and the three most famous experiments for special relativity

    Directory of Open Access Journals (Sweden)

    Shukri Klinaku

    Full Text Available Using the general formula for the Doppler effect at any arbitrary angle, the three famous experiments for special theory of relativity will be examined. Explanation of the experiments of Michelson, Kennedy–Thorndike and Ives–Stilwell will be given in a precise and elegant way without postulates, arbitrary assumptions or approximations. Keywords: Doppler effect, Michelson experiment, Kennedy–Thorndike experiment, Ives–Stilwell experiment

  15. About the origins of the general theory of relativity: Einstein's search for the truth

    OpenAIRE

    Trainer, M.

    2005-01-01

    On the 20th June 1933 Professor Einstein addressed a large and enthusiastic audience in the Victorian Gothic Bute Hall of the University of Glasgow. Einstein spoke 'About the Origins of the General Theory of Relativity'. In 1905 Einstein had changed the face of physics forever with the publication of his radical new ideas on special relativity. His general theory of relativity was introduced to the world in 1915. However in 1933, Einstein faced another challenge—survival in a world of change....

  16. Relational quadrilateralland II: The Quantum Theory

    Science.gov (United States)

    Anderson, Edward; Kneller, Sophie

    2014-04-01

    We provide the quantum treatment of the relational quadrilateral. The underlying reduced configuration spaces are ℂℙ2 and the cone over this. We consider exact free and isotropic HO potential cases and perturbations about these. Moreover, our purely relational kinematical quantization is distinct from the usual one for ℂℙ2, which turns out to carry absolutist connotations instead. Thus, this paper is the first to note absolute-versus-relational motion distinctions at the kinematical rather than dynamical level. It is also an example of value to the discussion of kinematical quantization along the lines of Isham, 1984. The relational quadrilateral is the simplest RPM whose mathematics is not standard in atomic physics (the triangle and four particles on a line are both based on 𝕊2 and ℝ3 mathematics). It is far more typical of the general quantum relational N-a-gon than the previously studied case of the relational triangle. We consider useful integrals as regards perturbation theory and the peaking interpretation of quantum cosmology. We subsequently consider problem of time (PoT) applications of this: quantum Kuchař beables, the Machian version of the semiclassical approach and the timeless naïve Schrödinger interpretation. These go toward extending the combined Machian semiclassical-Histories-Timeless Approach of [Int. J. Mod. Phys. D23 (2014) 1450014] to the case of the quadrilateral, which will be treated in subsequent papers.

  17. Special relativity theorem and Pythagoras’s magic

    Science.gov (United States)

    Korkmaz, S. D.; Aybek, E. C.; Örücü, M.

    2016-03-01

    In the modern physics unit included in the course curriculum of grade 10 physics introduced in the 2007-2008 education year, the aim is that students at this grade level are aware of any developments which constitute modern physics and may be considered new, and interpret whether mass, length and time values of the motions at any velocities close to the speed of light vary or not. One of the scientific concepts and subjects among the final ones to be learned in the unit of modern physics with 12 course hours includes the special relativity theorem and its results. The special relativity theorem, the foundation of which was laid by Einstein in 1905, has three significant predictions proven by experiments and observations: time extension, dimensional shortening and mass relativity. At the first stage of this study, a simple and fast solution that uses the Pythagorean relation for problems and must be treated by using the mathematical expressions of the predictions as specified above is given, and this way of solution was taught while the relativity subject was explained to the secondary education students who are fifteen years old from grade 10 in the 2013-2014 education year. At the second stage of the study, a qualitative study is released together with grade 11 students who are sixteen years old in 2014-2015, who learnt to solve any problems in both methods, while the special relativity subject is discussed in the physics course in grade 10. The findings of the study show that the students have a misconception on the relativity theorem and prefer to solve any relativity-related problems by using the Pythagorean method constituting the first stage of this study.

  18. Relationalism or why diplomats find international relations theory strange

    DEFF Research Database (Denmark)

    Adler-Nissen, Rebecca

    2015-01-01

    In this conclusion, which reflects critically on the relational approach to diplomacy and its wider consequences, I argue that diplomats are estranged from IR theory and vice versa - because International Relations scholars generally subscribe to substantialism, whereas diplomats tend to think...... by diplomatic scholars). Relationalism takes as its point of departure the idea that social phenomena making up world politics always develop in relation to other social phenomena. Thus, for example, states are not born into' this world as fully developed states that then "exist"; states are made in continuous...... scholarship and diplomatic knowledge and practice are important for how we understand (and construct) world politics, including war, international cooperation, and responses to human and natural catastrophes....

  19. Attachment-related mental representations: introduction to the special issue.

    Science.gov (United States)

    Thompson, Ross A

    2008-12-01

    Bowlby's concept of mental working models of self, attachment figures, and the social world has been theoretically generative as a bridge between early relational experience and the beliefs and expectations that color later relationships. Contemporary attachment researchers, following his example, are applying new knowledge of children's conceptual development to their study of attachment-related mental representations in children and adults. The contributors to this special issue highlight recent advances in how the mental representations arising from attachment security should be conceptualized and studied, and identify a number of important directions for future work. This paper introduces the special issue by summarizing the major ideas of Bowlby and his followers concerning the nature and development of mental working models, points of theoretical clarity and uncertainty, and challenges in assessing these representations, as well as profiling each of the contributions to this issue.

  20. Special Relativity in Week One: 3) Introducing the Lorentz Contraction

    Science.gov (United States)

    Huggins, Elisha

    2011-05-01

    This is the third of four articles on teaching special relativity in the first week of an introductory physics course.1,2 With Einstein's second postulate that the speed of light is the same to all observers, we could use the light pulse clock to introduce time dilation. But we had difficulty introducing the Lorentz contraction until we saw the movie "Time Dilation, an Experiment with Mu-Mesons" by David Frisch and James Smith.3,4 The movie demonstrates that time dilation and the Lorentz contraction are essentially two sides of the same coin. Here we take the muon's point of view for a more intuitive understanding of the Lorentz contraction, and use the results of the movie to provide an insight into the way we interpret experimental results involving special relativity.

  1. Integration of information and communication technologies in special relativity teaching

    International Nuclear Information System (INIS)

    Barbier, Remi; Fleck, Sonia; Perries, Stephane; Ray, Cedric

    2005-01-01

    Integration of information and communication technologies (ICTs) in special relativity teaching may bring multiple and complementary methods for introducing either difficult or abstract counterintuitive concepts. This paper describes multimedia content developed at Lyon University to enhance the learning process of undergraduate students. Two categories of animated scenarios have been identified: real experiments and thought experiments. Both typical examples of these scenarios and their impacts on the teaching process are discussed

  2. By, with, and through: the theory and practice of special operations capacity-building

    OpenAIRE

    Heisler, Anthony F.

    2014-01-01

    Approved for public release; distribution is unlimited This thesis presents a theory of how U.S. special operations forces (USSOF) build partner capacity. Building partner capacity (BPC) is a cornerstone of America’s post-9/11 security strategy and a signature mission of USSOF. However, USSOF lacks a theory that articulates how capacity is built or the keys to its success. This thesis explores BPC from the top down, through national security documents, doctrine, and case studies. It identi...

  3. Relating c 0 conformal field theories

    International Nuclear Information System (INIS)

    Guruswamy, S.; Ludwig, A.W.W.

    1998-03-01

    A 'canonical mapping' is established between the c = -1 system of bosonic ghosts at the c = 2 complex scalar theory and, a similar mapping between the c = -2 system of fermionic ghosts and the c = 1 Dirac theory. The existence of this mapping is suggested by the identity of the characters of the respective theories. The respective c 0 theories share the same space of states, whereas the spaces of conformal fields are different. Upon this mapping from their c 0) complex scalar and the Dirac theories inherit hidden nonlocal sl(2) symmetries. (author)

  4. Discrete Mathematics - Special Issue: Graph Theory - dedicated to Carsten Thomassen on his 60th birthday

    DEFF Research Database (Denmark)

    2011-01-01

    Carsten Thomassen belongs to the worlds's absolute top graph theorists, and to the world's top mathematicians in general. The special issue is a rather somewhat random collection of good papers in graph theory, by many different authors, dedicated to Carsten Thomassen on his 60th birthday. Guest ...

  5. When do mixotrophs specialize? Adaptive dynamics theory applied to a dynamic energy budget model.

    NARCIS (Netherlands)

    Troost, T.A.; Kooi, B.W.; Kooijman, S.A.L.M.

    2005-01-01

    In evolutionary history, several events have occurred at which mixotrophs specialized into pure autotrophs and heterotrophs. We studied the conditions under which such events take place, using the Dynamic Energy Budget (DEB) theory for physiological rules of the organisms' metabolism and Adaptive

  6. Perturbative Gravity and Gauge Theory Relations: A Review

    Directory of Open Access Journals (Sweden)

    Thomas Søndergaard

    2012-01-01

    Full Text Available This paper is dedicated to the amazing Kawai-Lewellen-Tye relations, connecting perturbative gravity and gauge theories at tree level. The main focus is on n-point derivations and general properties both from a string theory and pure field theory point of view. In particular, the field theory part is based on some very recent developments.

  7. Cosmological special relativity the large scale structure of space, time and velocity

    CERN Document Server

    Carmeli, Moshe

    2002-01-01

    This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological g

  8. Non-Western International Relations Theory: Myth or Reality?

    Directory of Open Access Journals (Sweden)

    Marina Mikhailovna Lebedeva

    2017-12-01

    Full Text Available In recent years, Russian and foreign literature increasingly raises the question on national theories of international relations. A special interest is manifested towards non-Western theories of international relations. The article analyzes the reasons for such interest. It is noted that the main motive for scholars to search for national schools is the transformation of the political organization of the world that emerged in the West and was developing largely on the Western model. This transformation encompasses three levels of political organization of the modern world: the Westphalian system, the system of international (interstate relations and the political systems of a state. Three levels of political organization of the world changing at the same time today reinforce each other and generate synergies. With such a large-scale transformation, when all three levels are “moving”, the world is facing for the first time, although the change of the second and especially the third levels were before. As far as the system of political organization of the world undergoes major changes, IR theories, which appeared in the West, are in crisis. Researchers’ attention to non-Western, primarily Asian TMO to find answers due to the following reasons: 1 the rapid economic growth of the region; 2 the development of scientific research in Asia; 3 the crisis of the Western model of political organization in the world that encourages the search for solutions in other civilizational structures. The article substantiates the necessity and possibility of “project activities” for reforming the political organization of the world and include practices that exist in different regions of the world. In order to implement such activities, the work of specialists from different brunches of social sciences is required.

  9. Speciality of psychological processes in relation to children testimony

    Directory of Open Access Journals (Sweden)

    Brkić Snežana S.

    2013-01-01

    Full Text Available Witnesses are important and very frequent sources of evidence in criminal trial. The correct estimate the credibility of witneses is of great significance. Therefore the judge must obtain some psychological knowledge. He must know some essential things about psychological processes and psychological features which are in relation to witness testimony. The author brings into focus such processes as. Memory, thinking, speech and emphasizes the speciality of those psychological processes by children. The author also point to some psychological features of children witnesses as suggestibility.

  10. Improved test of time dilation in special relativity.

    Science.gov (United States)

    Saathoff, G; Karpuk, S; Eisenbarth, U; Huber, G; Krohn, S; Muñoz Horta, R; Reinhardt, S; Schwalm, D; Wolf, A; Gwinner, G

    2003-11-07

    An improved test of time dilation in special relativity has been performed using laser spectroscopy on fast ions at the heavy-ion storage-ring TSR in Heidelberg. The Doppler-shifted frequencies of a two-level transition in 7Li+ ions at v=0.064c have been measured in the forward and backward direction to an accuracy of Deltanu/nu=1 x 10(-9) using collinear saturation spectroscopy. The result confirms the relativistic Doppler formula and sets a new limit of 2.2 x 10(-7) for deviations from the time dilation factor gamma(SR)=(1-v2/c2)(-1/2).

  11. Approaching space-time through velocity in doubly special relativity

    International Nuclear Information System (INIS)

    Aloisio, R.; Galante, A.; Grillo, A.F.; Luzio, E.; Mendez, F.

    2004-01-01

    We discuss the definition of velocity as dE/d vertical bar p vertical bar, where E, p are the energy and momentum of a particle, in doubly special relativity (DSR). If this definition matches dx/dt appropriate for the space-time sector, then space-time can in principle be built consistently with the existence of an invariant length scale. We show that, within different possible velocity definitions, a space-time compatible with momentum-space DSR principles cannot be derived

  12. Symmetry, Contingency, Complexity: Accommodating Uncertainty in Public Relations Theory.

    Science.gov (United States)

    Murphy, Priscilla

    2000-01-01

    Explores the potential of complexity theory as a unifying theory in public relations, where scholars have recently raised problems involving flux, uncertainty, adaptiveness, and loss of control. Describes specific complexity-based methodologies and their potential for public relations studies. Offers an account of complexity theory, its…

  13. Factors related to the performance of Specialized Dental Care Centers

    Directory of Open Access Journals (Sweden)

    Flávia Christiane de Azevedo Machado

    2015-04-01

    Full Text Available The Specialized Dental Care Centers (SDCC have the mission to expand access to public medium complexity dental care and support the primary health care actions at this level of complexity. However, it is necessary to ensure the quality of services and to evaluate such services continuously to identify weaknesses and strengths that support the processes of leadership/management. Nevertheless, there is a dearth of studies on the assessment of oral health in specialized care that may indicate which factors should be investigated. Therefore, this integrated literature review sought to explore the plethora of publications on the evaluation of SDCC in the LILACS and MEDLINE data bases in October 2013 to identify factors possibly related to the performance of such health services. Thus, 13 references were included in this review pointing to forms of organization and management of work processes related to the creation of healthcare networks (operation of regulation centers and setting up of health consortiums. They include the contextual characteristics of the places where SDCCs are located (population size, Family Health Strategy coverage, Municipal Human Development Index, governance, governing capacity were factors that influenced the SDCCs performance.

  14. ABSOLUTE THEORY OF RELATIVITY & PARAMETERIZED SPECIAL THEORY OF RELATIVITY & NONINERTIAL MULTIRELATIVITY

    OpenAIRE

    Smarandache, Florentin

    1982-01-01

    A rocket travels at a constant speed v with respect to the earth. In the rocket, a light pulse is emitted by a source from A to a mirror B that reflects it back to A where it is detected. The rocket’s movement and the light pulse’s movement are orthogonal. There is an observer in the rocket (the astronaut) and an observer on the earth. The trajectory of light pulse (and implicitly the distance traveled by the light pulse), the elapsed time it needs to travel this distance, and the speed of th...

  15. Can one tell Einstein's unimodular theory from Einstein's general relativity?

    OpenAIRE

    Alvarez, Enrique

    2005-01-01

    The so called unimodular theory of gravitation is compared with general relativity in the quadratic (Fierz-Pauli) regime, using a quite broad framework, and it is argued that quantum effects allow in principle to discriminate between both theories.

  16. The role of Einstein's general relativity theory in today's physics

    International Nuclear Information System (INIS)

    Bicak, J.

    The relationships are discussed of the general relativity theory to other fields of today's physics. Recent results are reported of studies into gravitational radiation, relativistic astrophysics, cosmology and the quantum theory. (Z.M.)

  17. Motion, inertia and special relativity-a novel perspective

    International Nuclear Information System (INIS)

    Masreliez, C Johan

    2007-01-01

    A recent paper by the author proposes that the phenomenon of inertia may be explained if the four metrical coefficients in the Minkowskian line element were to change as a consequence of acceleration. A certain scale factor multiplying the four metrical coefficients was found, which depends solely on velocity. This dynamic scale factor, which is [1-(v/c) 2 )], models inertia as a gravitational-type phenomenon. With this metric the geodesic of general relativity is an identity, and all accelerating trajectories are geodesics. This paper shows that the same scale factor also agrees with special relativity, but offers a new perspective. A new kind of dynamic process involving four-dimensional scale transition is proposed

  18. Unitarity relations in c=1 Liouville theory

    International Nuclear Information System (INIS)

    Lowe, D.A.

    1992-01-01

    In this paper, the authors consider the S-matrix of c = 1 Liouville theory with vanishing cosmological constant. The authors examine some of the constraints imposed by unitarity. These completely determine (N,2) amplitudes at tree level in terms of the (N,1) amplitudes when the plus tachyon momenta take generic values. A surprising feature of the matrix model results is the lack of particle creation branch cuts in the higher genus amplitudes. In fact, the authors show that the naive field theory limit of Liouville theory would predict such branch cuts. However, unitarity in the full string theory ensures that such cuts do not appear in genus one (N,1) amplitudes. The authors conclude with some comments about the genus one (N,2) amplitudes

  19. Is relativistic quantum mechanics compatible with special relativity?

    International Nuclear Information System (INIS)

    Lavenda, B.H.

    2001-01-01

    The transformation from a time-dependent random walk to quantum mechanics converts a modified Bessel function into an ordinary one together with a phase factor e iπ/2 for each time the electron flips both direction and handedness. Causality requires the argument to be greater than the order of the Bessel function. Assuming equal probabilities for jumps ±1, the normalized modified Bessel function of an imaginary argument is the solution of the finite difference differential Schroedinger equation whereas the same function of a real argument satisfies the diffusion equation. In the nonrelativistic limit, the stability condition of the difference scheme contains the mass whereas in the ultrarelativistic limit only the velocity of light appears. Particle waves in the nonrelativistic limit become elastic waves in the ultrarelativistic limit with a phase shift in the frequency and wave number of π/2. The ordinary Bessel function satisfies a second order recurrence relation which is a finite difference differential wave equation, using non-nearest neighbors, whose solutions are the chirality components of a free-particle in the zero fermion mass limit. Reintroducing the mass by a phase transformation transforms the wave equation into the Klein-Gordon equation but does not admit a solution in terms of ordinary Bessel functions. However, a sign change of the mass term permits a solution in terms of a modified Bessel function whose recurrence formulas produce all the results of special relativity. The Lorentz transformation maximizes the integral of the modified Bessel function and determines the paths of steepest descent in the classical limit. If the definitions of frequency and wave number in terms of the phase were used in special relativity, the condition that the frame be inertial would equate the superluminal phase velocity with the particle velocity in violation of causality. In order to get surfaces of constant phase to move at the group velocity, an integrating

  20. Relativity theory and time perception: single or multiple clocks?

    Science.gov (United States)

    Buhusi, Catalin V; Meck, Warren H

    2009-07-22

    Current theories of interval timing assume that humans and other animals time as if using a single, absolute stopwatch that can be stopped or reset on command. Here we evaluate the alternative view that psychological time is represented by multiple clocks, and that these clocks create separate temporal contexts by which duration is judged in a relative manner. Two predictions of the multiple-clock hypothesis were tested. First, that the multiple clocks can be manipulated (stopped and/or reset) independently. Second, that an event of a given physical duration would be perceived as having different durations in different temporal contexts, i.e., would be judged differently by each clock. Rats were trained to time three durations (e.g., 10, 30, and 90 s). When timing was interrupted by an unexpected gap in the signal, rats reset the clock used to time the "short" duration, stopped the "medium" duration clock, and continued to run the "long" duration clock. When the duration of the gap was manipulated, the rats reset these clocks in a hierarchical order, first the "short", then the "medium", and finally the "long" clock. Quantitative modeling assuming re-allocation of cognitive resources in proportion to the relative duration of the gap to the multiple, simultaneously timed event durations was used to account for the results. These results indicate that the three event durations were effectively timed by separate clocks operated independently, and that the same gap duration was judged relative to these three temporal contexts. Results suggest that the brain processes the duration of an event in a manner similar to Einstein's special relativity theory: A given time interval is registered differently by independent clocks dependent upon the context.

  1. Relativity theory and time perception: single or multiple clocks?

    Directory of Open Access Journals (Sweden)

    Catalin V Buhusi

    2009-07-01

    Full Text Available Current theories of interval timing assume that humans and other animals time as if using a single, absolute stopwatch that can be stopped or reset on command. Here we evaluate the alternative view that psychological time is represented by multiple clocks, and that these clocks create separate temporal contexts by which duration is judged in a relative manner. Two predictions of the multiple-clock hypothesis were tested. First, that the multiple clocks can be manipulated (stopped and/or reset independently. Second, that an event of a given physical duration would be perceived as having different durations in different temporal contexts, i.e., would be judged differently by each clock.Rats were trained to time three durations (e.g., 10, 30, and 90 s. When timing was interrupted by an unexpected gap in the signal, rats reset the clock used to time the "short" duration, stopped the "medium" duration clock, and continued to run the "long" duration clock. When the duration of the gap was manipulated, the rats reset these clocks in a hierarchical order, first the "short", then the "medium", and finally the "long" clock. Quantitative modeling assuming re-allocation of cognitive resources in proportion to the relative duration of the gap to the multiple, simultaneously timed event durations was used to account for the results.These results indicate that the three event durations were effectively timed by separate clocks operated independently, and that the same gap duration was judged relative to these three temporal contexts. Results suggest that the brain processes the duration of an event in a manner similar to Einstein's special relativity theory: A given time interval is registered differently by independent clocks dependent upon the context.

  2. The intern structure of special relativity; La ''structure fine'' de la relativite restreinte

    Energy Technology Data Exchange (ETDEWEB)

    Pierseaux, Y. [Universite Libre de Bruxelles (Belgium)

    1999-07-01

    The author presents the forgotten fact that in 1905 there were 2 restricted theories of relativity: that of Einstein and that of Poincare. These 2 theories were independently formulated, they are very close to each other but are fundamentally different when we consider their basic principles. Poincare's theory is based on a classical representation of the purely undulatory aspect of light, whereas Einstein stipulates for the quantum aspect of light. Poincare's theory implies the existence of the ether and asserts the primacy of continuity over discontinuity. The author has based his work on a thorough study of the scientific articles in which Poincare and Einstein explained their ideas. The comparison of these 2 theories sheds light on the evolution of concepts on which the whole modern physics is based. An extended bibliography of works published on special relativity or on related topics is given. (A.C.)

  3. Gyroscope precession in special and general relativity from basic principles

    Science.gov (United States)

    Jonsson, Rickard M.

    2007-05-01

    In special relativity a gyroscope that is suspended in a torque-free manner will precess as it is moved along a curved path relative to an inertial frame S. We explain this effect, which is known as Thomas precession, by considering a real grid that moves along with the gyroscope, and that by definition is not rotating as observed from its own momentary inertial rest frame. From the basic properties of the Lorentz transformation we deduce how the form and rotation of the grid (and hence the gyroscope) will evolve relative to S. As an intermediate step we consider how the grid would appear if it were not length contracted along the direction of motion. We show that the uncontracted grid obeys a simple law of rotation. This law simplifies the analysis of spin precession compared to more traditional approaches based on Fermi transport. We also consider gyroscope precession relative to an accelerated reference frame and show that there are extra precession effects that can be explained in a way analogous to the Thomas precession. Although fully relativistically correct, the entire analysis is carried out using three-vectors. By using the equivalence principle the formalism can also be applied to static spacetimes in general relativity. As an example, we calculate the precession of a gyroscope orbiting a static black hole.

  4. Realization of Cohen-Glashow very special relativity on noncommutative space-time.

    Science.gov (United States)

    Sheikh-Jabbari, M M; Tureanu, A

    2008-12-31

    We show that the Cohen-Glashow very special relativity (VSR) theory [A. G. Cohen and S. L. Glashow, Phys. Rev. Lett. 97, 021601 (2006)] can be realized as the part of the Poincaré symmetry preserved on a noncommutative Moyal plane with lightlike noncommutativity. Moreover, we show that the three subgroups relevant to VSR can also be realized in the noncommutative space-time setting. For all of these three cases, the noncommutativity parameter theta(mu upsilon) should be lightlike (theta(mu upsilon) theta mu upsilon = 0). We discuss some physical implications of this realization of the Cohen-Glashow VSR.

  5. On the equivalence of vacuum equations of gauge quadratic theory of gravity and general relativity theory

    International Nuclear Information System (INIS)

    Zhitnikov, V.V.; Ponomarev, V.N.

    1986-01-01

    An attempt is made to compare the solution of field equations, corresponding to quadratic equations for the fields (g μν , Γ μν α ) in gauge gravitation theory (GGT) with general relativity theory solutions. Without restrictions for a concrete type of metrics only solutions of equations, for which torsion turns to zero, are considered. Equivalence of vacuum equations of gauge quadratic theory of gravity and general relativity theory is proved using the Newman-Penrose formalism

  6. A Cp-theory problem book special features of function spaces

    CERN Document Server

    Tkachuk, Vladimir V

    2014-01-01

    The books in Vladimir Tkachuk’s A Cp-Theory Problem Book series will be the ‘go to’ texts for basic reference to Cp-theory. This second volume, Special Features of Function Spaces, gives a reasonably complete coverage of Cp-theory, systematically introducing each of the major topics and providing  500 carefully selected problems and exercises with complete solutions. Bonus results and open problems are also given. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide variety of topics in Cp-theory and general topology at the professional level. The first volume, Topological and Function Spaces © 2011, provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This second volume continues from the first, and can be used as a textbook for courses in both Cp-theory and general topology as well as a referenc...

  7. Special relativity in beam trajectory simulation in small accelerators

    International Nuclear Information System (INIS)

    Pramudita Anggraita; Budi Santosa; Taufik; Emy Mulyani; Frida Iswinning Diah

    2012-01-01

    Calculation for trajectory simulation of particle beam in small accelerators should account special relativity effect in the beam motion, which differs between parallel and perpendicular direction to the beam velocity. For small electron beam machine of 300 keV, the effect shows up as the rest mass of electron is only 511 keV. Neglecting the effect yields wrong kinetic energy after 300 kV of dc acceleration. For a 13 MeV PET (positron emission tomography) baby cyclotron accelerating proton beam, the effect increases the proton mass by about 1.4% at the final energy. To keep the beam isochronous with the accelerating radiofrequency, a radial increase of the average magnetic field must be designed accordingly. (author)

  8. Dirac equation in very special relativity for hydrogen atom

    Energy Technology Data Exchange (ETDEWEB)

    Maluf, R.V., E-mail: r.v.maluf@fisica.ufc.br [Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Caixa Postal 6030, 60455-760 Fortaleza, Ceará (Brazil); Silva, J.E.G., E-mail: euclides@fisica.ufc.br [Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Caixa Postal 6030, 60455-760 Fortaleza, Ceará (Brazil); Cruz, W.T., E-mail: wilamicruz@gmail.com [Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE), Campus Juazeiro do Norte, 63040-000 Juazeiro do Norte, Ceará (Brazil); Almeida, C.A.S., E-mail: carlos@fisica.ufc.br [Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Caixa Postal 6030, 60455-760 Fortaleza, Ceará (Brazil)

    2014-11-10

    In this work, we study the modified Dirac equation in the framework of very special relativity (VSR). The low-energy regime is accessed and the nonrelativistic Hamiltonian is obtained. It turns out that this Hamiltonian is similar to that achieved from the Standard Model Extension (SME) via coupling of the spinor field to a Lorentz-violating term, but new features arise inherited from the non-local character of the VSR. In addition, the implications of the VSR-modified Lorentz symmetry on the spectrum of a hydrogen atom are determined by calculating the first-order energy corrections in the context of standard quantum mechanics. Among the results, we highlight that the modified Hamiltonian provides non-vanishing corrections which lift the degeneracy of the energy levels and allow us to find an upper bound upon the VSR-parameter.

  9. Experimental bit commitment based on quantum communication and special relativity.

    Science.gov (United States)

    Lunghi, T; Kaniewski, J; Bussières, F; Houlmann, R; Tomamichel, M; Kent, A; Gisin, N; Wehner, S; Zbinden, H

    2013-11-01

    Bit commitment is a fundamental cryptographic primitive in which Bob wishes to commit a secret bit to Alice. Perfectly secure bit commitment between two mistrustful parties is impossible through asynchronous exchange of quantum information. Perfect security is however possible when Alice and Bob split into several agents exchanging classical and quantum information at times and locations suitably chosen to satisfy specific relativistic constraints. Here we report on an implementation of a bit commitment protocol using quantum communication and special relativity. Our protocol is based on [A. Kent, Phys. Rev. Lett. 109, 130501 (2012)] and has the advantage that it is practically feasible with arbitrary large separations between the agents in order to maximize the commitment time. By positioning agents in Geneva and Singapore, we obtain a commitment time of 15 ms. A security analysis considering experimental imperfections and finite statistics is presented.

  10. The theory of relativity and other essays

    CERN Document Server

    Einstein, Albert

    2011-01-01

    E=mc2: It may be Einstein's most well-known contribution to modern science, but how many people understand the thought process or physics behind this famous equation?In this collection of his seven most important essays on physics, Einstein guides his reader step-by-step through the many layers of scientific theory that formed a starting point for his discoveries. By both supporting and refuting the theories and scientific efforts of his predecessors, Einstein reveals in a clear voice the origins and meaning of such significant topics as physics and reality, the fundamentals of theoretical ph

  11. General relativity invariance and string field theory

    International Nuclear Information System (INIS)

    Aref'eva, I.Ya.; Volovich, I.V.

    1987-04-01

    The general covariance principle in the string field theory is considered. The algebraic properties of the string Lie derivative are discussed. The string vielbein and spin connection are introduced and an action invariant under general co-ordinate transformation is proposed. (author). 18 refs

  12. Modeling and Performing Relational Theories in the Classroom

    Science.gov (United States)

    Suter, Elizabeth A.; West, Carrie L.

    2011-01-01

    Although directly related to students' everyday lives, the abstract and even intimidating nature of relational theories often bars students from recognizing the immediate relevance to their relationships. The theories of symbolic interactionism, social exchange, relational dialectics, social penetration, and uncertainty reduction offer students…

  13. Some relations of parameters in quantum field theory

    International Nuclear Information System (INIS)

    Ishikawa, K.

    1986-01-01

    Two schemes of parameter relations, linear relation and non-linear relation are discussed. The linear relation of coupling constants is derived directly from an underlying symmetry of the classical theory and is preserved usually in the quantum theory. The non-linear relation is not derived by a same manner but is derived by more involved way which is intrinsically connected with quantum theory. An underlying symmetry which leads the linear relation is shown to be essential in the non-linear relation too. Some extension is also discussed

  14. From Special Relativity to Feynman Diagrams A Course of Theoretical Particle Physics for Beginners

    CERN Document Server

    D'Auria, Riccardo

    2012-01-01

    This books aims at filling a gap between the basics courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. Particular emphasis is given to the role of symmetry in modern theoretical physics. For this reason this book is particularly suited to those students who are interested in a deeper knowledge of modern developments in elementary particle physics and relativity, even if they choose not to specialize in this branch of research. This target of readers includes, besides experimental and applied physicists, also those engineers who need advanced notions of theoretical high energy physics, in view of future research activity in the field theory approach to condensed matter, in accelerator physics and in all those modern technology sectors which require a more advanced and sophisticated theoretical physics background. Courses motivated by these objectives are present in several polytechnic institutes around the world. The last chapters of this book,...

  15. Directions of Development of International Production Specialization Theory in Terms of Integration

    Directory of Open Access Journals (Sweden)

    Lidiya Aleksandrovna Pankova

    2016-06-01

    Full Text Available The article is devoted to the definition of directions of development of the theory of international production specialization in terms of integration based on new trends in various areas of international business. The author proposes a new concept of international industrial specialization in terms of integration. As a result of research the author came to the conclusion that in the current economic conditions the need for a free market constraints associated with the deepening global market failures is becoming more and more obvious. Therefore, in the process of international specialization of production in the conditions of integration of the country should be guided not by comparative advantage in the production of certain goods or services, but also by other criteria. These criteria are: financial criterion determining the financial situation in the country, the trade criterion, reflecting the possibility of benefiting from international trade, technological criterion, considering the technological security of the country in the field of specialization and the cyclical criterion, reflecting the situation in the world economy and the level of integration of the country. On the basis of these criteria, the author identifies three categories of countries according to their ability to benefit from an international industrial specialization in the integration process: effective export, export-neutral and export-inefficient countries.

  16. Relation Between Filtration and Soil Consolidation Theories

    Directory of Open Access Journals (Sweden)

    Strzelecki Tomasz

    2015-03-01

    Full Text Available This paper presents a different, than commonly used, form of equations describing the filtration of a viscous compressible fluid through a porous medium in isothermal conditions. This mathematical model is compared with the liquid flow equations used in the theory of consolidation. It is shown that the current commonly used filtration model representation significantly differs from the filtration process representation in Biot’s and Terzaghi’s soil consolidation models, which has a bearing on the use of the methods of determining the filtration coefficient on the basis of oedometer test results. The present analysis of the filtration theory equations should help interpret effective parameters of the non-steady filtration model. Moreover, equations for the flow of a gas through a porous medium and an interpretation of the filtration model effective parameters in this case are presented.

  17. Relation Between Filtration and Soil Consolidation Theories

    OpenAIRE

    Strzelecki Tomasz; Strzelecki Michał

    2015-01-01

    This paper presents a different, than commonly used, form of equations describing the filtration of a viscous compressible fluid through a porous medium in isothermal conditions. This mathematical model is compared with the liquid flow equations used in the theory of consolidation. It is shown that the current commonly used filtration model representation significantly differs from the filtration process representation in Biot’s and Terzaghi’s soil consolidation models, which has a bearing on...

  18. Some Mathematical Structures Including Simplified Non-Relativistic Quantum Teleportation Equations and Special Relativity

    International Nuclear Information System (INIS)

    Woesler, Richard

    2007-01-01

    The computations of the present text with non-relativistic quantum teleportation equations and special relativity are totally speculative, physically correct computations can be done using quantum field theory, which remain to be done in future. Proposals for what might be called statistical time loop experiments with, e.g., photon polarization states are described when assuming the simplified non-relativistic quantum teleportation equations and special relativity. However, a closed time loop would usually not occur due to phase incompatibilities of the quantum states. Histories with such phase incompatibilities are called inconsistent ones in the present text, and it is assumed that only consistent histories would occur. This is called an exclusion principle for inconsistent histories, and it would yield that probabilities for certain measurement results change. Extended multiple parallel experiments are proposed to use this statistically for transmission of classical information over distances, and regarding time. Experiments might be testable in near future. However, first a deeper analysis, including quantum field theory, remains to be done in future

  19. Spring School on Superstring Theory and Related Topics

    CERN Document Server

    2017-01-01

    ICTP's annual Spring School on Superstring Theory and Related Topics provides pedagogical treatment of these subjects through lectures by some of the world's top string theorists. The activity is intended for theoretical physicists or mathematicians with knowledge of quantum field theory, general relativity and string theory. It is organized in collaboration with the Asia Pacific Center for Theoretical Physics (APCTP) and the Italian Institute for Nuclear Physics (INFN).

  20. Some political issues related to future special nuclear materials production

    International Nuclear Information System (INIS)

    Peaslee, A.T. Jr.

    1981-08-01

    The Federal Government must take action to assure the future adequate supply of special nuclear materials for nuclear weapons. Existing statutes permit the construction of advanced defense production reactors and the reprocessing of commercial spent fuel for the production of special materials. Such actions would not only benefit the US nuclear reactor manufacturers, but also the US electric utilities that use nuclear reactors

  1. Relativity, symmetry and the structure of quantum theory

    CERN Document Server

    Klink, William H; Schweiger, Wolfgang

    Quantum theory is one of the most successful of all physical theories. Our everyday world is dominated by devices that function because of knowledge of the quantum world. Yet many, physicists and non-physicists alike, find the theory which explains the behavior of the quantum world baffling and strange. This book is the first in a series of three that argues that relativity and symmetry determine the structure of quantum theory. That is to say, the structure of quantum theory is what it is because of relativity and symmetry. There are different types of relativity, each leading to a particular type of quantum theory. This book deals specifically with what we call Newton relativity, the form of relativity built into Newtonian mechanics, and the quantum theory to which it gives rise, which we call Galilean (often misleadingly called non-relativistic) quantum theory. Key Features: • Meaning and significance of the term of relativity; discussion of the principle of relativity. • Relation of symmetry to relati...

  2. Africa and the Principles and Theories of International Relations ...

    African Journals Online (AJOL)

    To what extent have the principles and theories of international relations (as formulated) accommodated the specific needs and circumstances of Africa? In other words, how can the circumstances and peculiarities of Africa be made to shape and influence the established principles and theories of international relations as ...

  3. Remarks on the relation between different (open) string field theories

    International Nuclear Information System (INIS)

    De Alwis, S.P.

    1987-01-01

    It is shown that the different three-string vertices, related by conformal transformations, are in the same BRST cohomology class. We use this result to discuss the relation between different (open) string field theories. (orig.)

  4. DSR Theories, Conformal Group and Generalized Commutation Relation

    International Nuclear Information System (INIS)

    Leiva, Carlos

    2006-01-01

    In this paper the relationship of DSR theories and Conformal Group is reviewed. On the other hand, the relation between DSR Magueijo Smolin generators and generalized commutation relations is also shown

  5. OPTIS - A satellite test of Special and General Relativity

    Science.gov (United States)

    Dittus, H.; Lämmerzahl, C.; Peters, A.; Schiller, S.

    OPTIS has been proposed as a small satellite platform in a high elliptical orbit (apogee 40,000 km, perigee 10,000 km) and is designed for high precision tests of foundations of Special and General Relativity. The experimental set-up consists of two ultrastable Nd:YAG lasers, two crossed optical resonators (monolithic cavities), an atomic clock, and an optical comb generator. OPTIS enables (1) a Michelson- Morley experiment to test the isotropy of light propagation (constancy of light speed, dc/c) with an accuracy of 1 part in 101 8 , (2) a Kennedey-Thorndike experiment to measure the independence of the light speed from the velocity of the laboratory in the order of 1 part in 101 6 , and (3) a test of the gravitational red shift by comparing the atomic clock and an optical clock on a precision level of 1 part in 104 . To avoid any influence from atmospheric drag, solar radiation, or earth albedo, the satellite needs drag free control, to depress the residual acceleration down to 10-14 m/s 2 in the frequency range between 100 to 1,000 Hz, and thermal control to stabilize the cavity temperature variation, dT/T, to 1 part in 107 during 100 s and to 1 part in 105 during 1 orbit.

  6. The Work and the Energy in Special Theory of Relativistic Dynamics%相对论中的功和能

    Institute of Scientific and Technical Information of China (English)

    籍延坤; 郭红

    2001-01-01

    以经典力学某些量为线索,根据经典动力学的基本方程,采用物理上常用的类比的方法建立了狭义相对论动力学的基本方程,由该基本方程对空间的累积效应,可以引入相对论动力学中质点和质点系的质量、运动质量、动量、动能、静能、机械能、相对论能量和力以及力的功的基本概念。得到了相对论动力学中的功和能关系式即质点和质点系的动能定理、质点系的功能原理、机械能守恒定律与能量守恒定律以及能量准守恒定律。%Some quantities in classical mechanics being taken as clue, a fundamental equation of special theory of relativistic dynamics has been established based on the fundamental equation of classical mechanics and by using analogy method . From the accumulative effect of this equation to space, the basic concepts of rest mass, moving mass, momentum, kinetic energy, rest energy, mechanical energy, relativistic energy , force, and the work of force of particle or particle system in special theory of relativistic dynamics can be introduced. The relation formula between work and energy in special theory of relativistic dynamics, i.e. kinetic energy theorem of particle or particle system, the principle of work and energy, the conservation law of mechanical energy and quasi-conservation law of energy in particle system have been obtained as well.

  7. Special Relativity Kinematics with Anisotropic Propagation of Light and Correspondence Principle

    Science.gov (United States)

    Burde, Georgy I.

    2016-12-01

    The purpose of the present paper is to develop kinematics of the special relativity with an anisotropy of the one-way speed of light. As distinct from a common approach, when the issue of anisotropy of the light propagation is placed into the context of conventionality of distant simultaneity, it is supposed that an anisotropy of the one-way speed of light is due to a real space anisotropy. In that situation, some assumptions used in developing the standard special relativity kinematics are not valid so that the "anisotropic special relativity" kinematics should be developed based on the first principles, without refereeing to the relations of the standard relativity theory. In particular, using condition of invariance of the interval between two events becomes unfounded in the presence of anisotropy of space since the standard proofs drawing the interval invariance from the invariance of equation of light propagation are not valid in that situation. Instead, the invariance of the equation of light propagation (with an anisotropy of the one-way speed of light incorporated), which is a physical law, should be taken as a first principle. A number of other physical requirements, associativity, reciprocity and so on are satisfied by the requirement that the transformations between the frames form a group. Finally, the correspondence principle is to be satisfied which implies that the coordinate transformations should turn into the Galilean transformations in the limit of small velocities. The above formulation based on the invariance and group property suggests applying the Lie group theory apparatus which includes the following steps: constructing determining equations for the infinitesimal group generators using the invariance condition; solving the determining equations; specifying the solutions using the correspondence principle; defining the finite transformations by solving the Lie equations; relating the group parameter to physical parameters. The

  8. Progress on study of nuclear data theory and related fields at the Theory Group of CNDC

    Energy Technology Data Exchange (ETDEWEB)

    Zhigang, Ge [China Nuclear Data Center, CIAE (China)

    1996-06-01

    The Theory Group of CNDC (China Nuclear Data Center) has made a lot of progress in nuclear reaction theory and its application as well as many other related fields in 1995. The recent progress in nuclear reaction theory study and its applications, the recent progress in the nuclear data calculation and related code development are introduced. The production rate of radioactive nuclear beam induced by 70 MeV protons on {sup 72}Ge target were calculated. The calculated results are presented.

  9. Some relations between twisted K-theory and E8 gauge theory

    International Nuclear Information System (INIS)

    Mathai, Varghese; Sati, Hisham

    2004-01-01

    Recently, Diaconescu, Moore and Witten provided a nontrivial link between K-theory and M-theory, by deriving the partition function of the Ramond-Ramond fields of Type IIA string theory from an E8 gauge theory in eleven dimensions. We give some relations between twisted K-theory and M-theory by adapting the method of Diaconescu-Moore-Witten and Moore-Saulina. In particular, we construct the twisted K-theory torus which defines the partition function, and also discuss the problem from the E8 loop group picture, in which the Dixmier-Douady class is the Neveu-Schwarz field. In the process of doing this, we encounter some mathematics that is new to the physics literature. In particular, the eta differential form, which is the generalization of the eta invariant, arises naturally in this context. We conclude with several open problems in mathematics and string theory. (author)

  10. Pure Relationality as a Sociological Theory of Communication

    Directory of Open Access Journals (Sweden)

    Sam Whimster

    2018-01-01

    Full Text Available In order to explain the success of populist politicians use of social media, we need to subtract the social from relationality and separate social relationships from network theory applications. A pure theory of relationality is suggested by Werner Heisenberg’s breakthrough in quantum mechanics. It is argued that sociology, to its detriment, has failed to incorporate a theory of communication, one adequate to the explosion of social media and the recent rise of populist politics, here instanced by Donald Trump. Realizing the underlying importance of communication technology in all social relationships, and treating these two aspects in a complementary fashion, is the purpose of this essay in sociological theory.

  11. Incompatibility of the quantum and relativity theories and a possible resolution

    International Nuclear Information System (INIS)

    Sachs, M.

    1982-01-01

    This paper presents a comparison of the conceptual bases of the quantum theory and the theory of relativity, each considered as fundamental theories of elementary matter. From a study of the irreducible axiomatic bases of these respective approaches to elementary matter, it is concluded that they cannot peacefully co-exist because of logical incompatibility. Among the reasons discussed for this conclusion, one is the implication of the Hamiltonian form of quantum mechanics yielding an irreducible absolute frame of reference - that of the measuring apparatus - in the basic expression for the laws of elementary particles. This difficulty leads to logical inconsistency as well as a formulation of relativistic quantum field theory that is not demonstrably mathematically consistent. In spite of their logical incompatiability, it is argued that each of these theories logically requires the other, within its own framework. The conclusion is reached that, to make further progress in our understanding of elementary matter, it is necessary to abandon the axiomatic basis of one of these theories for the other, while keeping the formal structure of the abandoned theory as an accurate mathematical approximation (under special physical conditions) for a generalized form of the retained theory. An argument is presented for the author's retention of the theory of relativity as an authentic basis of elementary matter, and how its generalization is achieved by incorporating a fully (generally) covariant expression of the inertial manifestations of matter with its force manifestations

  12. Nonlinear scattering from a plasma column. I - Theory. II Special cases

    Science.gov (United States)

    Crawford, F. W.; Harker, K. J.

    1983-01-01

    The scattered signal excited by nonlinear mixing of two plane waves normally incident on an infinitely long column of plasma is investigated. A general solution is obtained for the polarization in which the electric field vectors of the waves are perpendicular to the column axis and the column is assumed to be radically inhomogeneous. This general theory is then applied to the special cases of the inhomogeneous column in the long-wavelength limit, and the homogeneous column both for the general case and in the long-wavelength limit. It is determined that dipole and quadrupole components should predominate in the polar radiation pattern for the long-wavelength case. The special case of second harmonic generation due to a single incident wave is analyzed in detail. Nonlinear scattering coefficients are computed, and the corresponding polar radiation patterns are determined. The findings of this study are employed to evaluate the feasibility of observing nonlinear scattering from meteor trails.

  13. Iz ''general relativity'' necessary for the Einstein gravitation theory gravitation theory

    International Nuclear Information System (INIS)

    Bondi, G.

    1982-01-01

    Main principles of relativity and gravitation theories are deeply analyzed. Problems of boundaries of applicability for these theories and possible ways of their change and generalization are discussed. It is shown that the notion of general relativity does not introduce any post-newton physics - it only deals with coordinate transformations. It is supposed that ''general relativity'' is a physically senseless phrase which can be considered only as a historical remainder of an interesting philosophic discourse. The paper reveals that there exists appropriate physical substantiation of the Einstein gravitation theory not including a physically senseless concept of general relativity and promoting its fundamental relations with the experiment

  14. Some dual relations in twistor theory

    International Nuclear Information System (INIS)

    Tarski, J.

    1983-08-01

    The option of employing twistors or dual twistors in integral representations, etc., is considered. In particular, dual-space analyses are presented which relate to the problem of background electromagnetic fields, and to the inverse transformation. (author)

  15. Quantum theory and Einstein's general relativity

    International Nuclear Information System (INIS)

    Borzeszkowski, H.H.v.; Treder, H.J.

    1984-01-01

    The paper concerns Einstein's general relativity, wave mechanics and the quantization of Einstein's gravitation equations. The principle of equivalence and its association with both wave mechanics and quantum gravity, is discussed. (U.K.)

  16. Theory of the special Smith-Purcell radiation from a rectangular grating

    Energy Technology Data Exchange (ETDEWEB)

    Liu, Weihao, E-mail: liuwhao@ustc.edu.cn; He, Zhigang, E-mail: hezhg@ustc.edu.cn; Jia, Qika [National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei, Anhui, 230029 (China); Li, Weiwei [National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei, Anhui, 230029 (China); Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati, via E. Fermi 40, 00044 Frascati, RM (Italy)

    2015-12-15

    The recently uncovered special Smith-Purcell radiation (S-SPR) from the rectangular grating has significantly higher intensity than the ordinary Smith-Purcell radiation (SPR). Its monochromaticity and directivity are also much better. Here we explored the mechanism of the S-SPR by applying the fundamental electromagnetic theory and simulations. We have confirmed that the S-SPR is exactly from the radiating eigen modes of the grating. Its frequency and direction are well correlated with the beam velocity and structure parameters, which indicates its promising applications in tunable wave generation and beam diagnostic.

  17. Computer algebra in quantum field theory integration, summation and special functions

    CERN Document Server

    Schneider, Carsten

    2013-01-01

    The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including

  18. Theory of the special Smith-Purcell radiation from a rectangular grating

    International Nuclear Information System (INIS)

    Liu, Weihao; He, Zhigang; Jia, Qika; Li, Weiwei

    2015-01-01

    The recently uncovered special Smith-Purcell radiation (S-SPR) from the rectangular grating has significantly higher intensity than the ordinary Smith-Purcell radiation (SPR). Its monochromaticity and directivity are also much better. Here we explored the mechanism of the S-SPR by applying the fundamental electromagnetic theory and simulations. We have confirmed that the S-SPR is exactly from the radiating eigen modes of the grating. Its frequency and direction are well correlated with the beam velocity and structure parameters, which indicates its promising applications in tunable wave generation and beam diagnostic

  19. Introduction:Bourdieu and International Relations theory

    OpenAIRE

    2012-01-01

    This book rethinks the key concepts of International Relations by drawing on the work of Pierre Bourdieu.The last few years have seen a genuine wave of publications promoting sociology in international relations. Scholars have suggested that Bourdieu’s vocabulary can be applied to study security, diplomacy, migration and global environmental politics. Yet we still lack a systematic and accessible analysis of what Bourdieu-inspired IR might look like. This book provides the answer. It offers a...

  20. A strong astrophysical constraint on the violation of special relativity by quantum gravity.

    Science.gov (United States)

    Jacobson, T; Liberati, S; Mattingly, D

    2003-08-28

    Special relativity asserts that physical phenomena appear the same to all unaccelerated observers. This is called Lorentz symmetry and relates long wavelengths to short ones: if the symmetry is exact it implies that space-time must look the same at all length scales. Several approaches to quantum gravity, however, suggest that there may be a microscopic structure of space-time that leads to a violation of Lorentz symmetry. This might arise because of the discreteness or non-commutivity of space-time, or through the action of extra dimensions. Here we determine a very strong constraint on a type of Lorentz violation that produces a maximum electron speed less than the speed of light. We use the observation of 100-MeV synchrotron radiation from the Crab nebula to improve the previous limit by a factor of 40 million, ruling out this type of Lorentz violation, and thereby providing an important constraint on theories of quantum gravity.

  1. Introduction to the basic concepts of modern physics special relativity, quantum and statistical physics

    CERN Document Server

    Becchi, Carlo Maria

    2016-01-01

    This is the third edition of a well-received textbook on modern physics theory. This book provides an elementary but rigorous and self-contained presentation of the simplest theoretical framework that will meet the needs of undergraduate students. In addition, a number of examples of relevant applications and an appropriate list of solved problems are provided.Apart from a substantial extension of the proposed problems, the new edition provides more detailed discussion on Lorentz transformations and their group properties, a deeper treatment of quantum mechanics in a central potential, and a closer comparison of statistical mechanics in classical and in quantum physics. The first part of the book is devoted to special relativity, with a particular focus on space-time relativity and relativistic kinematics. The second part deals with Schrödinger's formulation of quantum mechanics. The presentation concerns mainly one-dimensional problems, but some three-dimensional examples are discussed in detail. The third...

  2. Introduction to the basic concepts of modern physics special relativity, quantum and statistical physics

    CERN Document Server

    Becchi, Carlo Maria

    2007-01-01

    These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework using elementary mathematical tools. A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given. The first part is devoted to Special Relativity concerning in particular space-time relativity and relativistic kinematics. The second part deals with Schroedinger's formulation of quantum mechanics. The presentation concerns mainly one dimensional problems, in particular tunnel effect, discrete energy levels and band spectra. The third part concerns the application of Gibbs statistical methods to quantum systems and in particular to Bose and Fermi gasses.

  3. A theory of strong interactions ''from'' general relativity

    International Nuclear Information System (INIS)

    Caldirola, P.; Recami, E.

    1979-01-01

    In this paper a previous letter (where, among other things, a classical ''quark confinement'' was derived from general relativity plus dilatation-covariance), is completed by showing that the theory is compatible also with quarks ''asymptotic freedom''. Then -within a bi-scale theory of gravitational and strong interactions- a classical field theory is proposed for the (strong) interactions between hadrons. Various consequences are briefly analysed

  4. Experimental testing of constructivism and related theories.

    Science.gov (United States)

    Fidelman, U

    1991-10-01

    The purpose of this article is to show that experimental scientific methods can be applied to explain how the analytic mechanism of the left cerebral hemisphere and the synthetic mechanism of the right one create complex cognitive constructions like ontology and mathematics. Nominalism and ordinal mathematical concepts are related to the analytic left hemisphere while Platonism and cardinal mathematical concepts are related to the synthetic right one. Thus persons with a dominant left hemisphere tend to prefer nominalist ontology and have more aptitude for ordinal mathematics than for cardinal mathematics, while persons with a dominant right hemisphere tend to prefer platonist ontology and have more aptitude for cardinal mathematics than for ordinal mathematics. It is further explained how the Kantism temporal mode of perceiving experience can be related to the left hemisphere while the Kantian spatial mode of perceiving experience can be related to the right hemisphere. This relation can be tested experimentally, thus the Kantian source of constructivism, and through it constructivism itself, can be tested experimentally.

  5. Quantum theory and Einstein's general relativity

    International Nuclear Information System (INIS)

    Borzeszkowski, H. von; Treder, H.

    1982-01-01

    We dicusss the meaning and prove the accordance of general relativity, wave mechanics, and the quantization of Einstein's gravitation equations themselves. Firstly, we have the problem of the influence of gravitational fields on the de Broglie waves, which influence is in accordance with Einstein's weak principle of equivalence and the limitation of measurements given by Heisenberg's uncertainty relations. Secondly, the quantization of the gravitational fields is a ''quantization of geometry.'' However, classical and quantum gravitation have the same physical meaning according to limitations of measurements given by Einstein's strong principle of equivalence and the Heisenberg uncertainties for the mechanics of test bodies

  6. Reflections on Dead Theory in International Relations

    Science.gov (United States)

    Thakur, Vineet

    2016-01-01

    In this short autobiographical essay, I trace my journey in the discipline of International Relations. While entering the discipline, I, along with a host of my classmates, were enamoured by the exciting possibilities of thinking theoretically. Almost a decade later, those promises look bleak. From the perspective of a student in the discipline, I…

  7. Special relativity effects for space-based coherent lidar experiments

    Science.gov (United States)

    Raogudimetla, V. S.

    1994-01-01

    There is a great need to develop a system that can measure accurately atmospheric wind profiles because an accurate data of wind profiles in the atmosphere constitutes single most input for reliable simulations of global climate numerical methods. Also such data helps us understand atmospheric circulation and climate dynamics better. Because of this need for accurate wind measurements, a space-based Laser Atmospheric Winds Sounder (LAWS) is being designed at MSFC to measure wind profiles in the lower atmosphere of the earth with an accuracy of 1 m/s at lower altitudes to 5m/s at higher altitudes. This system uses an orbiting spacecraft with a pulsed laser source and measures the Doppler shift between the transmitted and received frequencies to estimate the atmospheric wind velocities. If a significant return from the ground (sea) is possible, the spacecraft speed and height are estimated from it and these results and the Doppler shift are then used to estimate the wind velocities in the atmosphere. It is expected that at the proposed wavelengths, there will be enough backscatter from the aerosols but there may no be significant return from the ground. So a coherent (heterodyne) detection system is being proposed for signal processing because it can provide high signal to noise ratio and sensitivity and thus make the best use of low ground return. However, for a heterodyne detection scheme to provide the best results, it is important that the receiving aperture be aligned properly for the proposed wind sounder, this amounts to only a few microradians tolerance in alignment. It is suspected that the satellite motion relative to the ground may introduce errors in the order of a few microradians because of special relativity. Hence, the problem of laser scattering off a moving fixed target when the source and receiver are moving, which was not treated in the past in the literature, was analyzed in the following, using relativistic electrodynamics and applied to the

  8. Equivalence of the theories of reciprocity and general relativity

    International Nuclear Information System (INIS)

    Qadir, A.

    1976-01-01

    Khan's theory (Nuovo Cimento; 57B:321 (1968) and Int. J. Theor. Phys.; 6:383 (1972)) of reciprocity has been shown to be equivalent to the theory of general relativity (in a conformally flat space-time) in that the same predictions are made physically. It is is proved that, since 'centrifugal forces' are used by Khan, gravitational phenomena are being considered equal in status to electromagnetic phenomena, and hence the difference claimed to exist between Milne's theory and Khan's theory disappears. (author)

  9. Reply to the "Certain Conceptual Anomalies in Einstein's Theory of Relativity" and Related Questions

    Directory of Open Access Journals (Sweden)

    Rabounski D.

    2008-04-01

    Full Text Available This paper answers twelve most common questions on the basics of Einstein’s theory of relativity. The answers remove most key problems with a real, solid understanding of the theory.

  10. The mathematical theory of general relativity

    CERN Document Server

    Katkar, L N

    2014-01-01

    This book is prepared for M. Sc. Students of Mathematics and Physics. The aim of writing this book is to give the reader a feeling for the necessity and beauty of the laws of general relativity. The contents of the book will attract both mathematicians and physicists which provides motivation and applications of many ideas and powerful mathematical methods of modern analysis and differential geometry. An attempt has been made to make the presentation comprehensive, rigorous and yet simple. Most calculations and transformations have been carried out in great detail. KEY FEATURE: Numerous solved examples using the well known mathematical techniques viz., the tensors and the differential forms in each chapter.

  11. Quantum effects from a purely geometrical relativity theory

    International Nuclear Information System (INIS)

    Ellis, Homer G

    2005-01-01

    A purely geometrical relativity theory results from a construction that produces from three-dimensional space a happy unification of Kaluza's five-dimensional theory and Weyl's conformal theory. The theory can provide geometrical explanations for the following observed phenomena, among others: (a) visibility lifetimes of elementary particles of lengths inversely proportional to their rest masses; (b) the equality of charge magnitude among all charged particles interacting at an event; (c) the propensity of electrons in atoms to be seen in discretely spaced orbits; and (d) 'quantum jumps' between those orbits. This suggests the possibility that the theory can provide a deterministic underpinning of quantum mechanics like that provided to thermodynamics by the molecular theory of gases

  12. The relationship between theory of mind and relational frame theory : convergence of perspective-taking measures

    OpenAIRE

    Hendriks, A.; Barnes-Holmes, Yvonne; McEnteggart, Ciara; de Mey, H.; Witteman, C.; Janssen, G.; Egger, J.

    2016-01-01

    Objective: Perspective-taking difficulties have been demonstrated in autism and schizophrenia spectrum disorders, among other clinical presentations, and are traditionally examined from a Theory of Mind (ToM) point of view. Relational Frame Theory (RFT) offers a behavioural and contextual interpretation of perspective-taking, proposing that this ability can be studied in more detail by examining specific perspective-taking relations. To implement relational perspective-taking measures in clin...

  13. Relating β+ radionuclides' properties by order theory

    International Nuclear Information System (INIS)

    Quintero, N.Y.; Guillermo Restrepo; Cohen, I.M.; Universidad Tecnologica Nacional, Buenos Aires

    2013-01-01

    We studied 27 β + radionuclides taking into account some of their variants encoding information of their production, such as integral yield, threshold energy and energy of projectiles used to generate them; these radionuclides are of current use in clinical diagnostic imaging by positron emission tomography (PET). The study was conducted based on physical, physico-chemical, nuclear, dosimetric and quantum properties, which characterise the β + radionuclides selected, with the aim of finding meaningful relationships among them. In order to accomplish this objective the mathematical methodology known as formal concept analysis was employed. We obtained a set of logical assertions (rules) classified as implications and associations, for the set of β + radionuclides considered. Some of them show that low mass defect is related to high and medium values of maximum β + energy, and with even parity and low mean lives; all these parameters are associated to the dose received by a patient subjected to a PET analysis. (author)

  14. Rings Related to Special Atoms | France-Jackson | Quaestiones ...

    African Journals Online (AJOL)

    Abstract unavailable at this time... Mathematics Subject Classification (1991): 16A21, 16A12 Keywords: ring, special atoms, atoms, *k-ring, prime ring, *-ring, Jacobson, artinia, essential extension, homomorphic image, ideals. Quaestiones Mathematicae 24(1) 2001, 105–109 ...

  15. On Certain Conceptual Anomalies in Einstein's Theory of Relativity

    OpenAIRE

    Crothers S. J.

    2008-01-01

    There are a number of conceptual anomalies occurring in the Standard exposition of Einstein’s Theory of Relativity. These anomalies relate to issues in both mathematics and in physics and penetrate to the very heart of Einstein’s theory. This paper reveals and amplifies a few such anomalies, including the fact that Einstein’s field equations for the so-called static vacuum configuration, R = 0 , violates his Principle of Equiv- alence, and is therefore ...

  16. The relationship between Theory of Mind and Relational Frame Theory: Convergence of perspective-taking measures

    NARCIS (Netherlands)

    Hendriks, A.L.; Barnes-Holmes, Y.; McEnteggart, C.; Mey, H.R.A. De; Witteman, C.L.M.; Janssen, G.T.L.; Egger, J.I.M.

    2016-01-01

    Objective: Perspective-taking difficulties have been demonstrated in autism and schizophrenia spectrum disorders, among other clinical presentations, and are traditionally examined from a Theory of Mind (ToM) point of view. Relational Frame Theory (RFT) offers a behavioural and contextual

  17. Quantum work relations and response theory in parity-time-symmetric quantum systems

    Science.gov (United States)

    Wei, Bo-Bo

    2018-01-01

    In this work, we show that a universal quantum work relation for a quantum system driven arbitrarily far from equilibrium extends to a parity-time- (PT -) symmetric quantum system with unbroken PT symmetry, which is a consequence of microscopic reversibility. The quantum Jarzynski equality, linear response theory, and Onsager reciprocal relations for the PT -symmetric quantum system are recovered as special cases of the universal quantum work relation in a PT -symmetric quantum system. In the regime of broken PT symmetry, the universal quantum work relation does not hold because the norm is not preserved during the dynamics.

  18. Neutrino superluminality without Cherenkov-like processes in Finslerian special relativity

    International Nuclear Information System (INIS)

    Chang Zhe; Li Xin; Wang Sai

    2012-01-01

    Recently, Cohen and Glashow [A.G. Cohen, S.L. Glashow, Phys. Rev. Lett. 107 (2011) 181803] pointed out that the superluminal neutrinos reported by the OPERA would lose their energy rapidly via the Cherenkov-like process. The Cherenkov-like process for the superluminal particles would be forbidden if the principle of special relativity holds in any frame instead violated with a preferred frame. We have proposed that the Finslerian special relativity could account for the data of the neutrino superluminality ( (arXiv:1110.6673 [hep-ph])). The Finslerian special relativity preserves the principle of special relativity and involves a preferred direction while consists with the causality. In this Letter, we prove that the energy-momentum conservation is preserved and the energy-momentum is well defined in Finslerian special relativity. The Cherenkov-like process is forbidden in the Finslerian special relativity. Thus, the superluminal neutrinos would not lose energy in their distant propagation.

  19. On the mathematical theory of classical fields and general relativity

    CERN Document Server

    Klainerman, S

    1993-01-01

    From the perspective of an analyst, like myself, the General Theory of Relativity provides an extrordinary rich and vastly virgin territory. It is the aim of my lecture to provide, first, an account of those aspects of the theory which attract me most and second a perspective of what has been accomplished so far in that respect. In trying to state our main objectives it helps to view General Relativity in the broader context of Classical Field Theory. EinsteiniVacuum equations, or shortly E—V, is already sufficiently complicated. I will thus restrict my attention to them.

  20. Mapping the frontier of theory in industrial relations

    DEFF Research Database (Denmark)

    Tapia, Maite; Ibsen, Christian Lyhne; Kochan, Thomas A.

    2015-01-01

    well industrial relations meta-theories, when combined with efforts to build middle-range theories, provide distinctive explanations and different predictions for the alternatives that have emerged to date to fill the void. We propose new directions for theory and research that expand the range...... of actors or institutions that shape employment relations and include social identities outside of the employment relationship as the basis for mobilizing collective actions and voice. Finally, we suggest using these theoretical arguments to test among alternatives as a means of revitalizing and reshaping...

  1. Special relativity and the Karhunen-Loeve expansion of Brownian motion

    International Nuclear Information System (INIS)

    Maccone, C.

    1987-01-01

    The connection between special relativity and the theory of the time-rescaled Gaussian stochastic processes is brought to light. It is given the general expression of the Karhunen-Loewe expansion for the Brownian motion whose variable is the proper time. The relevant eigenfunctions are proved to be Bessel functions, and their stability is discussed. The eigenvalues are shown to be the zeros of certain linear combinations of the Bessel functions and their partials. The energy distribution of such a class of processes is investigated, and it is given explicit formulae for both its mean value and variance. Finally it is studied in detail the Karhumen-Loeve expansion for a case of relativistic decelerated motion whose analysis is feasible in closed form

  2. Relational Frame Theory and Industrial/Organizational Psychology

    Science.gov (United States)

    Stewart, Ian; Barnes-Holmes, Dermot; Barnes-Holmes, Yvonne; Bond, Frank W.; Hayes, Steven C.

    2006-01-01

    The current paper argues that a Relational Frame Theory account of complex human behavior including an analysis of relational frames, relational networks, rules and the concept of self can provide a potentially powerful new perspective on phenomena in the applied science of industrial/organizational (I/O) psychology. In this article, we first…

  3. General relativity and gauge gravity theories of higher order

    International Nuclear Information System (INIS)

    Konopleva, N.P.

    1998-01-01

    It is a short review of today's gauge gravity theories and their relations with Einstein General Relativity. The conceptions of construction of the gauge gravity theories with higher derivatives are analyzed. GR is regarded as the gauge gravity theory corresponding to the choice of G ∞4 as the local gauge symmetry group and the symmetrical tensor of rank two g μν as the field variable. Using the mathematical technique, single for all fundamental interactions (namely variational formalism for infinite Lie groups), we can obtain Einstein's theory as the gauge theory without any changes. All other gauge approaches lead to non-Einstein theories of gravity. But above-mentioned mathematical technique permits us to construct the gauge gravity theory of higher order (for instance SO (3,1)-gravity) so that all vacuum solutions of Einstein equations are the solutions of the SO (3,1)-gravity theory. The structure of equations of SO(3,1)-gravity becomes analogous to Weeler-Misner geometrodynamics one

  4. Rastall's and related theories are conservative gravitational theories although physically inequivalent to general relativity

    International Nuclear Information System (INIS)

    Smalley, L.L.; Alabama Univ., Huntsville

    1983-01-01

    It is shown that (1) the proper framework for testing Rastall's theory and its generalisations is in the case of non-negligible (i.e. discernible) gravitational effects such as gravity gradients; 2) these theories have conserved integral four-momentum and angular momentum; and (3) the Nordtvedt effect then provides limits on the parameters which arise as the result of the non-zero divergence of the energy-momentum tensor. (author)

  5. Rastall's and related theories are conservative gravitational theories although physically inequivalent to general relativity

    Science.gov (United States)

    Smalley, L. L.

    1983-01-01

    The proper framework for testing Rastall's theory and its generalizations is in the case of non-negligible (i.e. discernible) gravitational effects such as gravity gradients. These theories have conserved integral four-momentum and angular momentum. The Nordtvedt effect then provides limits on the parameters which arise as the result of the non-zero divergence of the energy-momentum tensor.

  6. Derivation of Einstein-Cartan theory from general relativity

    Science.gov (United States)

    Petti, Richard

    2015-04-01

    General relativity cannot describe exchange of classical intrinsic angular momentum and orbital angular momentum. Einstein-Cartan theory fixes this problem in the least invasive way. In the late 20th century, the consensus view was that Einstein-Cartan theory requires inclusion of torsion without adequate justification, it has no empirical support (though it doesn't conflict with any known evidence), it solves no important problem, and it complicates gravitational theory with no compensating benefit. In 1986 the author published a derivation of Einstein-Cartan theory from general relativity, with no additional assumptions or parameters. Starting without torsion, Poincaré symmetry, classical or quantum spin, or spinors, it derives torsion and its relation to spin from a continuum limit of general relativistic solutions. The present work makes the case that this computation, combined with supporting arguments, constitutes a derivation of Einstein-Cartan theory from general relativity, not just a plausibility argument. This paper adds more and simpler explanations, more computational details, correction of a factor of 2, discussion of limitations of the derivation, and discussion of some areas of gravitational research where Einstein-Cartan theory is relevant.

  7. Pedagogical systematic derivation of Noether point symmetries in special relativistic field theories and extended gravity cosmology

    International Nuclear Information System (INIS)

    Haas, Fernando

    2016-01-01

    A didactic and systematic derivation of Noether point symmetries and conserved currents is put forward in special relativistic field theories, without a priori assumptions about the transformation laws. Given the Lagrangian density, the invariance condition develops as a set of partial differential equations determining the symmetry transformation. The solution is provided in the case of real scalar, complex scalar, free electromagnetic, and charged electromagnetic fields. Besides the usual conservation laws, a less popular symmetry is analyzed: the symmetry associated with the linear superposition of solutions, whenever applicable. The role of gauge invariance is emphasized. The case of the charged scalar particle under external electromagnetic fields is considered, and the accompanying Noether point symmetries determined. Noether point symmetries for a dynamical system in extended gravity cosmology are also deduced. (paper)

  8. Pedagogical systematic derivation of Noether point symmetries in special relativistic field theories and extended gravity cosmology

    Science.gov (United States)

    Haas, Fernando

    2016-11-01

    A didactic and systematic derivation of Noether point symmetries and conserved currents is put forward in special relativistic field theories, without a priori assumptions about the transformation laws. Given the Lagrangian density, the invariance condition develops as a set of partial differential equations determining the symmetry transformation. The solution is provided in the case of real scalar, complex scalar, free electromagnetic, and charged electromagnetic fields. Besides the usual conservation laws, a less popular symmetry is analyzed: the symmetry associated with the linear superposition of solutions, whenever applicable. The role of gauge invariance is emphasized. The case of the charged scalar particle under external electromagnetic fields is considered, and the accompanying Noether point symmetries determined. Noether point symmetries for a dynamical system in extended gravity cosmology are also deduced.

  9. The relativity theory and the nature of time

    International Nuclear Information System (INIS)

    Selleri, F.

    1997-01-01

    In this paper and its continuation, old and recent ideas concerning the nature of time are reviewed by starting from March's refusal of Newton's absolute time. Modern experimental evidence shows that the slowing down of moving clocks is a real phenomenon, Such is also the so-called twin paradox owing its name to its evident incompatibility with the philosophy of relativism (which should not be confused with the theory of relativity). Lorentz reformulation of relativity theory started by postulating physical effects of the ether, but adopted Einstein's clock synchronization: more than anything else this stopped Lorentz from understanding the advantages of different synchronization procedures. One of the problems of the usual approach is the necessity of a superdeterministic universe, as stressed by Popper. Recent results obtained by the author show that a theory is possible, based on relative time but on absolute simultaneity, in which all the conceptual difficulties of relativity are avoided. (Author) 21 refs

  10. The relativity theory and the nature of time

    International Nuclear Information System (INIS)

    Selleri, F.

    1997-01-01

    In this paper and its continuation, old and recent ideas concerning the nature of time are reviewed by starting from Mach's refusal of Newton's absolute time. Modern experimental evidence shows that the slowing down of moving clocks is a real phenomenon. Such is also the so-called twin paradox owing its name to its evident incompatibility with the philosophy of relativism (which should not be confused with the theory of relativity). Lorentz' reformulation of relativity theory started by postulating physical effects of the ether, but adopted Einstein's clock synchronization: more than anything else this stopped Lorentz from understanding the advantages of different synchronization procedures. One of the problems of the usual approach is the necessity of a super deterministic universe, as stressed by Popper. Recent results obtained by the author show that a theory is possible, based on relative time but on absolute simultaneity, in which all the conceptual difficulties of relativity are avoided. (Author) 21 refs

  11. The Bjorken-Paschos relation in the unified gauge theory

    International Nuclear Information System (INIS)

    Oh, S.K.

    1980-07-01

    We have examined in the unified gauge theory with the integrally-charged quark model the Bjorken-Paschos relation within the impulse approximation of the parton picture. We find that the relation is valid for the forward scattering region and provides a reliable way to test the charge assignment of the quarks and the gluons. (author)

  12. Testing the Contingency Theory of Accommodation in Public Relations.

    Science.gov (United States)

    Cancel, Amanda E.; Mitrook, Michael A.; Cameron, Glen T.

    1999-01-01

    Interviews 18 public-relations professionals to provide grounding and refinement of the contingency theory of accommodation in public relations. Supports a continuum from pure accommodation to pure advocacy and a matrix of variables affecting the continuum. Concludes that the practitioners' view of their communication world offers validity to the…

  13. Indefinite-metric quantum field theory of general relativity, 6

    International Nuclear Information System (INIS)

    Nakanishi, Noboru

    1979-01-01

    The canonical commutation relations are analyzed in detail in the indefinite-metric quantum field theory of gravity based on the vierbein formalism. It is explicitly verified that the BRS charge, the local-Lorentz-BRS charge and the Poincare generators satisfy the expected commutation relations. (author)

  14. Indefinite-metric quantum field theory of general relativity, 2

    International Nuclear Information System (INIS)

    Nakanishi, Noboru

    1978-01-01

    The canonical commutation relations are analyzed in detail in the manifestly covariant quantum field theory of general relativity proposed previously. It is explicitly proved that the BRS charge is indeed the generator of the BRS transformation both in the Landau gauge and in the non-Landau one. The equivalence between the field equations and the Heisenberg equations is confirmed. (author)

  15. Doubly-Special Relativity: Facts, Myths and Some Key Open Issues

    Directory of Open Access Journals (Sweden)

    Giovanni Amelino-Camelia

    2010-03-01

    Full Text Available I report, emphasizing some key open issues and some aspects that are particularly relevant for phenomenology, on the status of the development of “doubly-special” relativistic (“DSR” theories with both an observer-independent high-velocity scale and an observer-independent small-length/large-momentum scale, possibly relevant for the Planck-scale/quantum-gravity realm. I also give a true/false characterization of the structure of these theories. In particular, I discuss a DSR scenario without modification of the energy-momentum dispersion relation and without the қ-Poincaré Hopf algebra, a scenario with deformed Poincaré symmetries which is not a DSR scenario, some scenarios with both an invariant length scale and an invariant velocity scale which are not DSR scenarios, and a DSR scenario in which it is easy to verify that some observable relativistic (but non-special-relativistic features are insensitive to possible nonlinear redefinitions of symmetry generators.

  16. 26 CFR 1.818-8 - Special rules relating to consolidated returns and certain capital losses.

    Science.gov (United States)

    2010-04-01

    ... 26 Internal Revenue 8 2010-04-01 2010-04-01 false Special rules relating to consolidated returns... Special rules relating to consolidated returns and certain capital losses. Section 818(g) provides that, in the case of a life insurance company filing or required to file a consolidated return under...

  17. Generalization of the Biot--Savart law to Maxwell's equations using special relativity

    International Nuclear Information System (INIS)

    Neuenschwander, D.E.; Turner, B.N.

    1992-01-01

    Maxwell's equations are obtained by generalizing the laws of magnetostatics, which follow from the Biot--Savart law and superposition, to be consistent with special relativity. The Lorentz force on a charged particle and its rate of energy change also follow by making Newton's second law for a particle in a magnetostatic field consistent with special relativity

  18. 26 CFR 48.4223-1 - Special rules relating to further manufacture.

    Science.gov (United States)

    2010-04-01

    ... 26 Internal Revenue 16 2010-04-01 2010-04-01 true Special rules relating to further manufacture.... § 48.4223-1 Special rules relating to further manufacture. (a) Purchasing manufacturer to be treated as... resold tax free under section 4221(a)(1) of the Code for use by it in further manufacture shall be...

  19. JENDL special purpose data files and related nuclear data

    International Nuclear Information System (INIS)

    Iijima, Shungo

    1989-01-01

    The objectives of JENDL Special Purpose Data Files under development are the applications of nuclear data to the evaluation of the fuel cycle, nuclear activation, and radiation damage. The files in plan consist of 9 types of data, viz., the actinide cross sections, the decay data, the activation cross sections, the (α,n) cross sections, the photo-reaction cross sections, the dosimetry cross sections, the gas production cross sections, the primary knock-on atom spectra and KERMA factors, and the data for standard. The status of the compilation and the evaluation of these data are briefly reviewed. In particular, the features of the data required for the evaluation of the activation cross sections, (α,n) cross sections, photo-reaction cross sections, and PKA data are discussed in some detail. The need for the realistic definition of the scope of the work is emphasized. (author)

  20. Quantum relativity theory and quantum space-time

    International Nuclear Information System (INIS)

    Banai, M.

    1984-01-01

    A quantum relativity theory formulated in terms of Davis' quantum relativity principle is outlined. The first task in this theory as in classical relativity theory is to model space-time, the arena of natural processes. It is shown that the quantum space-time models of Banai introduced in another paper is formulated in terms of Davis's quantum relativity. The recently proposed classical relativistic quantum theory of Prugovecki and his corresponding classical relativistic quantum model of space-time open the way to introduce, in a consistent way, the quantum space-time model (the quantum substitute of Minkowski space) of Banai proposed in the paper mentioned. The goal of quantum mechanics of quantum relativistic particles living in this model of space-time is to predict the rest mass system properties of classically relativistic (massive) quantum particles (''elementary particles''). The main new aspect of this quantum mechanics is that it provides a true mass eigenvalue problem, and that the excited mass states of quantum relativistic particles can be interpreted as elementary particles. The question of field theory over quantum relativistic model of space-time is also discussed. Finally it is suggested that ''quarks'' should be considered as quantum relativistic particles. (author)

  1. Relating the archetypes of logarithmic conformal field theory

    International Nuclear Information System (INIS)

    Creutzig, Thomas; Ridout, David

    2013-01-01

    Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics with well-known applications to both condensed matter theory and string theory. Our limited understanding of these theories is based upon detailed studies of various examples that one may regard as archetypal. These include the c=−2 triplet model, the Wess–Zumino–Witten model on SL(2;R) at level k=−1/2 , and its supergroup analogue on GL(1|1). Here, the latter model is studied algebraically through representation theory, fusion and modular invariance, facilitating a subsequent investigation of its cosets and extended algebras. The results show that the archetypes of logarithmic conformal field theory are in fact all very closely related, as are many other examples including, in particular, the SL(2|1) models at levels 1 and −1/2 . The conclusion is then that the archetypal examples of logarithmic conformal field theory are practically all the same, so we should not expect that their features are in any way generic. Further archetypal examples must be sought

  2. Relating the archetypes of logarithmic conformal field theory

    Energy Technology Data Exchange (ETDEWEB)

    Creutzig, Thomas, E-mail: tcreutzig@mathematik.tu-darmstadt.de [Department of Physics and Astronomy, University of North Carolina, Phillips Hall, CB 3255, Chapel Hill, NC 27599-3255 (United States); Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstraße 7, 64289 Darmstadt (Germany); Ridout, David, E-mail: david.ridout@anu.edu.au [Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200 (Australia); Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200 (Australia)

    2013-07-21

    Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics with well-known applications to both condensed matter theory and string theory. Our limited understanding of these theories is based upon detailed studies of various examples that one may regard as archetypal. These include the c=−2 triplet model, the Wess–Zumino–Witten model on SL(2;R) at level k=−1/2 , and its supergroup analogue on GL(1|1). Here, the latter model is studied algebraically through representation theory, fusion and modular invariance, facilitating a subsequent investigation of its cosets and extended algebras. The results show that the archetypes of logarithmic conformal field theory are in fact all very closely related, as are many other examples including, in particular, the SL(2|1) models at levels 1 and −1/2 . The conclusion is then that the archetypal examples of logarithmic conformal field theory are practically all the same, so we should not expect that their features are in any way generic. Further archetypal examples must be sought.

  3. Relativistic theory of gravitation and nonuniqueness of the predictions of general relativity theory

    International Nuclear Information System (INIS)

    Logunov, A.A.; Loskutov, Yu.M.

    1986-01-01

    It is shown that while the predictions of relativistic theory of gravitation (RTG) for the gravitational effects are unique and consistent with the experimental data available, the relevant predictions of general relativity theory are not unique. Therewith the above nonuniqueness manifests itself in some effects in the first order in the gravitational interaction constant in others in the second one. The absence in GRT of the energy-momentum and angular momentum conservation laws for the matter and gravitational field taken together and its inapplicability to give uniquely determined predictions for the gravitational phenomena compel to reject GRT as a physical theory

  4. From Newton's laws to Einstein's theory of relativity

    National Research Council Canada - National Science Library

    Fang, Li-chih; Chʻu, Yao-chʻüan; Fang, Li Zhi; Fang, L. Z; Li, Zhi Fang; Fang, Lizhi

    1987-01-01

    ...-Morley Experiment Constant New Velocity of Light Speed The of COMPOSITION OF SPEED OF LIGHT The Law of CHAPTER Salviati's Theory of W h o IV TO ship Two Relativity Shot First? CHAPTER V A ROD Space and * T h e Lifetime Moving Lorentz F R O M GALILEO'S PRINCIPLE OF RELATIVITY THE S P E C I A L T H E O R Y OF RELATIVITY principles of th...

  5. [Development of a program theory as a basis for the evaluation of a dementia special care unit].

    Science.gov (United States)

    Adlbrecht, Laura; Bartholomeyczik, Sabine; Mayer, Hanna

    2018-06-01

    Background: An existing dementia special care unit should be evaluated. In order to build a sound foundation of the evaluation a deep theoretical understanding of the implemented intervention is needed, which has not been explicated yet. One possibility to achieve this is the development of a program theory. Aim: The aim is to present a method to develop a program theory for the existing living and care concept of the dementia special care unit, which is used in a larger project to evaluate the concept theory-drivenly. Method: The evaluation is embedded in the framework of van Belle et al. (2010) and an action model and a change model (Chen, 2015) is created. For the specification of the change model the contribution analysis (Mayne, 2011) is applied. Data were collected in workshops with the developers and the nurses of the dementia special care unit and a literature research concerning interventions and outcomes was carried out. The results were synthesized in a consens workshop. Results: The action model describes the interventions of the dementia special care unit, the implementers, the organization and the context. The change model compromises the mechanisms through which interventions achieve outcomes. Conclusions: The results of the program theory can be employed to choose data collection methods and instruments for the evaluation. On the basis of the results of the evaluation the program theory can be refined and adapted.

  6. Applications of Jarzynski's relation in lattice gauge theories

    DEFF Research Database (Denmark)

    Nada, Alessandro; Caselle, Michele; Costagliola, Gianluca

    2016-01-01

    Jarzynski's equality is a well-known result in statistical mechanics, relating free-energy differences between equilibrium ensembles with fluctuations in the work performed during non-equilibrium transformations from one ensemble to the other. In this work, an extension of this relation to lattice...... gauge theory will be presented, along with numerical results for the ℤ2 gauge model in three dimensions and for the equation of state in SU(2) Yang-Mills theory in four dimensions. Then, further applications will be discussed, in particular for the Schrödinger functional and for the study of QCD...

  7. The Concept of Security in International Relations Theory

    Directory of Open Access Journals (Sweden)

    Gabriel Orozco

    2006-01-01

    Full Text Available The end of the Cold War and the emergence of globalisation have transformed the reality of International Relations, which has meant a change in the theories which this reality had assumed. The concept of security reveals itself as an organisational idea on the different phenomena of globalisation, carrying out a programme of research that goes beyond the realistic presumptions of military power or of the idealistic principles of research for peace. This article explores the new meanings of security for International Relations theory and discusses the theoretical models that influence policy design and that aim to confront the problems and challenges of security in globalisation.

  8. Einstein's relativity theory and its relevance to recent cosmology

    International Nuclear Information System (INIS)

    Aichelburg, P.C.

    1990-01-01

    The Newtonian physics is based on absolute time and absolute space, simultaneity is unique and universal. In the Special Relativity the concept of absolute simultaneity is abandoned and time is dependent on the motion state. But both in Newtonian physics and Special Relativity time and space form a rigid background for the dynamics of matter. In General Relativity space and time are incorporated into the dynamics. The geometrical behaviour of bodies and the pace of clocks is dependent on space-time geometry which in turn is influenced by matter. In cosmology this mutual influence is driven to the extreme. Space-time is 'created together with matter'. Geometry is determined by the matter contained in the space. 14 refs., 5 figs. (Author, transl.)

  9. Indefinite-metric quantum field theory of general relativity

    International Nuclear Information System (INIS)

    Nakanishi, Noboru

    1978-01-01

    Quantum field theory of Einstein's general relativity is formulated in the indefinitemetric Hilbert space in such a way that asymptotic fields are manifestly Lorentz covariant and the physical S-matrix is unitary. The general coordinate transformation is transcribed into a q-number transformation, called the BRS transformation. Its abstract definition is presented on the basis of the BRS transformation for the Yang-Mills theory. The BRS transformation for general relativity is then explicitly constructed. The gauge-fixing Lagrangian density and the Faddeev-Popov one are introduced in such a way that their sum behaves like a scalar density under the BRS transformation. One can then proceed in the same way as in the Kugo-Ojima formalism of the Yang-Mills theory to establish the unitarity of the physical S-matrix. (author)

  10. Scalar mass relations and flavor violations in supersymmetric theories

    International Nuclear Information System (INIS)

    Cheng, Hsin-Chia; California Univ., Berkeley, CA

    1996-01-01

    Supersymmetry provides the most promising solution to the gauge hierarchy problem. For supersymmetry to stablize the hierarchy, it must be broken at the weak scale. The combination of weak scale supersymmetry and grand unification leads to a successful prediction of the weak mixing angle to within 1% accuracy. If supersymmetry is a symmetry of nature, the mass spectrum and the flavor mixing pattern of the scalar superpartners of all the quarks and leptons will provide important information about a more fundamental theory at higher energies. We studied the scalar mass relations which follow from the assumption that at high energies there is a grand unified theory which leads to a significant prediction of the weak mixing angle; these will serve as important tests of grand unified theories. Two intragenerational mass relations for each of the light generations are derived. A third relation is also found which relates the Higgs masses and the masses of all three generation scalars. In a realistic supersymmetric grand unified theory, nontrivial flavor mixings are expected to exist at all gaugino vertices. This could lead to important contributions to the neutron electric dipole moment, the decay mode p → K 0 μ + , weak scale radiative corrections to the up-type quark masses, and lepton flavor violating signals such as μ → eγ. These also provide important probes of physics at high energy scales. Supersymmetric theories involving a spontaneously broken flavor symmetry can provide a solution to the supersymmetric flavor-changing problem and an understanding of the fermion masses and mixings. We studied the possibilities and the general conditions under which some fermion masses and mixings can be obtained radiatively. We also constructed theories of flavor in which the first generation fermion masses arise from radiative corrections while flavor-changing constraints are satisfied. 69 refs., 19 figs., 9 tabs

  11. An experiment designed to verify the general theory of relativity

    International Nuclear Information System (INIS)

    Surdin, Maurice

    1960-01-01

    The project for an experiment which uses the effect of gravitation on Maser-type clocks placed on the ground at two different heights and which is designed to verify the general theory of relativity. Reprint of a paper published in Comptes rendus des seances de l'Academie des Sciences, t. 250, p. 299-301, sitting of 11 January 1960 [fr

  12. Interacting bosons model and relation with BCS theory

    International Nuclear Information System (INIS)

    Diniz, R.

    1990-01-01

    The Nambu mechanism for BCS theory is extended with inclusion of quadrupole pairing in addition to the usual monopole pairing. An effective Hamiltonian is constructed and its relation to the IBM is discussed. The faced difficulties and a possible generalization of this model are discussed. (author)

  13. The program ORTOCARTAN for applications in the relativity theory

    International Nuclear Information System (INIS)

    Krasinski, A.

    1985-01-01

    A general outline of the program ORTOCARTAN for algebraic computing in the relativity theory is presented. A short history of the program is given. The base-programming language is LISP. The details of the calculation are presented. An example of application of the ORTOCARTAN is given

  14. Exploring Spiritual Beliefs in Relation to Adlerian Theory.

    Science.gov (United States)

    Polanski, Patricia J.

    2002-01-01

    This article describes one counselor's exploration of her spiritual beliefs in relation to Adler's theory of counseling and human development in an effort to move toward ideological consistency and to enhance competence in addressing spiritual dimensions of clients' development. (Contains 34 references.) (GCP)

  15. Violations of Einstein's Relativity: Motivations, Theory, and Phenomenology

    International Nuclear Information System (INIS)

    Lehnert, Ralf

    2011-01-01

    One of the most difficult questions in present-day physics concerns a fundamental theory of space, time, and matter that incorporates a consistent quantum description of gravity. There are various theoretical approaches to such a quantum-gravity theory. Nevertheless, experimental progress is hampered in this research field because many models predict deviations from established physics that are suppressed by some power of the Planck scale, which currently appears to be immeasurably small. However, tests of relativity theory provide one promising avenue to overcome this phenomeno-logical obstacle: many models for underlying physics can accommodate a small breakdown of Lorentz symmetry, and numerous feasible Lorentz-symmetry tests have Planck reach. Such mild violations of Einstein's relativity have therefore become the focus of recent research efforts. This mini course provides a brief survey of the key ideas in this research field and is geared at both experimentalists and theorists. In particular, several theoretical mechanisms leading to deviations from relativity theory are presented; the standard theoretical framework for relativity violations at currently accessible energy scales (i.e., the SME) is reviewed, and various present and near-future experimental efforts within this field are discussed.

  16. Changing Race Relations in Organizations: A Comparison of Theories.

    Science.gov (United States)

    1985-03-01

    Desegregated Classroom: The Effects of Cooperation on Prosocial Behavior and Academic Performance. Working Paper, Department of Psychology. Santa Cruz, CA... Behavior Changing Race Relations in Organizations: A Comparison of Theories Clayton P. .Alderfer Working Paper #66 DTIC ~ELECTE0 B DITRUTION STATEMENTA...unfavorable stereotypes of blacks, they have less reason to change. White stereotypes have long served as rationalizations for white dominance. In

  17. On unifying concepts in plasticity theory and related matters in numerical analysis

    International Nuclear Information System (INIS)

    Havner, K.S.

    1977-01-01

    This paper reviews a rate-independent theory (or class of theories) of multiple-mode plastic straining which unifies various constitutive equations of macroscopic solids and single crystals. Some consideration is given to the relationship between the multiple-mode theory and thermodynamic concepts; including physical aspects of finite distortion of metal crystals. Uniqueness criteria and related minimum principles in incremental (or 'rate-type') boundary value problems are presented for the general class at finite strain. Special circumstances (one being infinitesimal strain) are defined under which the uniqueness criteria assure convergence of a form of finite element approximation in the boundary value problem. Extensive reference is made to recently published work of Hill, Rice, Sewell and Havner. A symmetry postulate pertaining to the 'effective hardening moduli' plays a key role in the general theory. This postulate permits the adoption of Sewell's multiple-mode saddle function as a potential for stress and plastic mechanism rates and leads to the connection between uniqueness and (rate-type) minimum principles. The postulate has a remarkable consequence for application of a simple form of the theory to single crystals in the tensile test. At small strain this theory reduces to the classical Taylor hardening of crystals, which has had wide application in micromechanical calculations of crystalline aggregate models. At infinitesimal strain, and at finite strain when the two dominant principal stresses are everywhere tensile, additional minimum principles are given for the 'self-straining problem' which permit the independent variation of displacement and plastic mechanism rates

  18. General and Special Education Teachers' Relations within Teamwork in Inclusive Education: Socio-Demographic Characteristics

    Science.gov (United States)

    Radic-Sestic, Marina; Radovanovic, Vesna; Milanovic-Dobrota, Biljana; Slavkovic, Sanela; Langovic-Milicvic, Ana

    2013-01-01

    The general objective of this study was to establish the relation between general and special education teachers within teamwork and to define socio-demographic factors that affect teamwork. The sample encompassed 223 general and special education teacher of both genders, age 25 to 60, who are employed in regular elementary schools in Serbia. The…

  19. 7 CFR 3560.455 - Special servicing actions related to loan accounts.

    Science.gov (United States)

    2010-01-01

    ... loan security is sold and there is a need to reestablish the financial stability of the housing project... 7 Agriculture 15 2010-01-01 2010-01-01 false Special servicing actions related to loan accounts... HOUSING SERVICE, DEPARTMENT OF AGRICULTURE DIRECT MULTI-FAMILY HOUSING LOANS AND GRANTS Special Servicing...

  20. The Implications of Demographic Variables as Related to Burnout among a Sample of Special Education Teachers

    Science.gov (United States)

    Williams, Joy; Dikes, Catherine

    2015-01-01

    The attrition rate of highly qualified special education teachers is a pervasive problem in the United States. This study investigated the association between the burnout subscales of emotional exhaustion, depersonalization, and personal accomplishment relative to 10 demographic variables. Sixty-five special education teachers constituted the…

  1. Teaching Practice of Physical Education Teachers for Students with Special Needs: An Application of the Theory of Planned Behaviour

    Science.gov (United States)

    Wang, Lijuan; Wang, Min; Wen, Hongwei

    2015-01-01

    This study examines the teaching behavior of physical education (PE) teachers in teaching students with special needs and the factors that determine their teaching behaviour. An extended theory of planned behaviour (TPB) was utilised as the theoretical framework. Three secondary and two high school PE teachers participated in the study. Data…

  2. On complicated continuum models in general relativity theory

    International Nuclear Information System (INIS)

    Tsypkin, A.G.

    1987-01-01

    A set of Euler's equations is obtained in the framework of the general relativity theory from the variational equation in the supposition that lagrangian of the material depends on additional (in comparison with classical theories) thermodynamic parameters and taking into account possible irreversible processes. Momentum equations for continuous medium of a thermodynamic closed set are shown to be the consequence of field equations. The problem about the type of energy-momentum material tensor in the presence of derivatives from additional thermodynamic parameters in the number of lagrangian arguments is considered

  3. Indefinite-metric quantum field theory of general relativity, 5

    International Nuclear Information System (INIS)

    Nakanishi, Noboru

    1979-01-01

    The indefinite-metric quantum field theory of general relativity is extended to the coupled system of the gravitational field and a Dirac field on the basis of the vierbein formalism. The six extra degrees of freedom involved in vierbein are made unobservable by introducing an extra subsidiary condition Q sub(s) + phys> = 0, where Q sub(s) denotes a new BRS charge corresponding to the local Lorentz invariance. It is shown that a manifestly covariant, unitary, canonical theory can be constructed consistently on the basis of the vierbein formalism. (author)

  4. Critical Race Theory and the Limits of Relational Theory in Social Work with Women.

    Science.gov (United States)

    Quinn, Camille R; Grumbach, Giesela

    2015-01-01

    The authors present a conceptual framework for expanding the use of relational theory with African-American women. Relational theory (RT) informs practice with women but is inadequate in addressing all aspects of culture and identity. RT presumes that all women desire or are able to make therapeutic connections, yet race, gender, and cultural experiences influence their ability to do so. Successful practice with minority women must address racism and its impact. Critical race theory (CRT) that incorporates a solution-focused (SF) approach is well-suited to address the limits of RT. This overview of a CRT/SF approach describes treatment for diverse women that extends RT and enhances effective social work practice to provide culturally sensitive treatment to women.

  5. GRG computer algebra system in gravitation and general relativity theory

    International Nuclear Information System (INIS)

    Zhitnikov, V.V.; Obukhova, I.G.

    1985-01-01

    The main concepts and capabilities of the GRG specialized computer agebra system intended for performing calculations in the gravitation theory are described. The GRG system is written in the STANDARD LISP language. The program consists of two parts: the first one - for setting initial data, the second one - for specifying a consequence of calculations. The system can function in three formalisms: a coordinate, a tetradic with the Lorentz basis and a spinor ones. The major capabilities of the GRG system are the following: calculation of connectivity and curvature according to the specified metrics, tetrad and torsion; metric type determination according to Petrov; calculation of the Bianchi indentities; operation with an electromagnetic field; tetradic rotations; coordinate conversions

  6. Role of information theoretic uncertainty relations in quantum theory

    Energy Technology Data Exchange (ETDEWEB)

    Jizba, Petr, E-mail: p.jizba@fjfi.cvut.cz [FNSPE, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1 (Czech Republic); ITP, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin (Germany); Dunningham, Jacob A., E-mail: J.Dunningham@sussex.ac.uk [Department of Physics and Astronomy, University of Sussex, Falmer, Brighton, BN1 9QH (United Kingdom); Joo, Jaewoo, E-mail: j.joo@surrey.ac.uk [Advanced Technology Institute and Department of Physics, University of Surrey, Guildford, GU2 7XH (United Kingdom)

    2015-04-15

    Uncertainty relations based on information theory for both discrete and continuous distribution functions are briefly reviewed. We extend these results to account for (differential) Rényi entropy and its related entropy power. This allows us to find a new class of information-theoretic uncertainty relations (ITURs). The potency of such uncertainty relations in quantum mechanics is illustrated with a simple two-energy-level model where they outperform both the usual Robertson–Schrödinger uncertainty relation and Shannon entropy based uncertainty relation. In the continuous case the ensuing entropy power uncertainty relations are discussed in the context of heavy tailed wave functions and Schrödinger cat states. Again, improvement over both the Robertson–Schrödinger uncertainty principle and Shannon ITUR is demonstrated in these cases. Further salient issues such as the proof of a generalized entropy power inequality and a geometric picture of information-theoretic uncertainty relations are also discussed.

  7. Role of information theoretic uncertainty relations in quantum theory

    International Nuclear Information System (INIS)

    Jizba, Petr; Dunningham, Jacob A.; Joo, Jaewoo

    2015-01-01

    Uncertainty relations based on information theory for both discrete and continuous distribution functions are briefly reviewed. We extend these results to account for (differential) Rényi entropy and its related entropy power. This allows us to find a new class of information-theoretic uncertainty relations (ITURs). The potency of such uncertainty relations in quantum mechanics is illustrated with a simple two-energy-level model where they outperform both the usual Robertson–Schrödinger uncertainty relation and Shannon entropy based uncertainty relation. In the continuous case the ensuing entropy power uncertainty relations are discussed in the context of heavy tailed wave functions and Schrödinger cat states. Again, improvement over both the Robertson–Schrödinger uncertainty principle and Shannon ITUR is demonstrated in these cases. Further salient issues such as the proof of a generalized entropy power inequality and a geometric picture of information-theoretic uncertainty relations are also discussed

  8. Joint Special Operations University SOF-Power Workshop: A Way Forward for Special Operations Theory and Strategic Art

    Science.gov (United States)

    2011-08-01

    participants‘ particular points of view and may be helpful in researching, developing, testing, and explaining theory. The Secret War in Laos was...Jan 1985. Tse -Tung, Mao. On Guerrilla Warfare. Praeger, New York: 1961. The Use and Utility of Force; Force Fungibles Art, Robert J. and...Penguin Books, New York: 1968. Griffith, Samuel B., (BrigGen (Ret) USMC). On Guerrilla Warfare – Mao Tse -Tung. Praeger, New York: 1961

  9. Special relativity with a discrete spectrum of singular velocities

    International Nuclear Information System (INIS)

    Gonzales Gascon, F.

    1977-01-01

    The introduction of real transformation formulae containing a whole discrete spectrum of singularities is suggested. Some phenomenological hypotheses are introduced and the group property is substituted by weaker conditions. The first singular speed (c 1 =c) is invariant with respect to the measures of it from subluminal frames, but the remaining speeds are not invariant. The proposed transformations do not form a closed set (for the superluminal speeds) and, therefore, the problem of having (within this framework) a principle of relativity valid for any velocity remains open

  10. Treatise on classical elasticity theory and related problems

    CERN Document Server

    Teodorescu, Petre P

    2013-01-01

    Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation. The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used. This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University o...

  11. Mayer expansions for Euclidean lattice field theory: Convergence properties and relation with perturbation theory

    International Nuclear Information System (INIS)

    Pordt, A.

    1985-10-01

    The author describes the Mayer expansion in Euclidean lattice field theory by comparing it with the statistical mechanics of polymer systems. In this connection he discusses the Borel summability and the analyticity of the activities on the lattice. Furthermore the relations between renormalization and the Mayer expansion are considered. (HSI)

  12. Action-Based Jurisprudence: Praxeological Legal Theory in Relation to Economic Theory, Ethics, and Legal Practice

    Directory of Open Access Journals (Sweden)

    Konrad Graf

    2011-08-01

    Full Text Available Action-based legal theory is a discrete branch of praxeology and the basis of an emerging school of jurisprudence related to, but distinct from, natural law. Legal theory and economic theory share content that is part of praxeology itself: the action axiom, the a priori of argumentation, universalizable property theory, and counterfactual-deductive methodology. Praxeological property-norm justification is separate from the strictly ethical “ought” question of selecting ends in an action context. Examples of action-based jurisprudence are found in existing “Austro-libertarian” literature. Legal theory and legal practice must remain distinct and work closely together if justice is to be found in real cases. Legal theorizing was shaped in religious ethical contexts, which contributed to confused field boundaries between law and ethics. The carrot and stick influence of rulers on theorists has distorted conventional economics and jurisprudence in particular directions over the course of centuries. An action-based approach is relatively immune to such sources of distortion in its methods and conclusions, but has tended historically to be marginalized from conventional institutions for this same reason.

  13. Theory and experiments in general relativity and other metric theories of gravity

    International Nuclear Information System (INIS)

    Ciufolini, I.

    1984-01-01

    In Chapter I, after an introduction to theories of gravity alternative to general relativity, metric theories, and the post-Newtonian parameterized (PNN) formalism, a new class of metric theories of gravity is defined. As a result the post-Newtonian approximation of the new theories is not described by the PPN formalism. In fact under the weak field and slow motion hypothesis, the post-Newtonian expression of the metric tensor contains an infinite set of new terms and correspondingly an infinite set of new PPN parameters. Chapter II, III, and IV are devoted to new experiments to test general relativity and other metric theories of gravity. In particular, in chapter IV, it is shown that two general relativistics effects, the Lense-Thirring and De Sitter-Fokker precessions of the nodal lines of an Earth artificial satellite are today detectable using high altitude laser ranged artificial satellites such as Lageos. The orbit of this satellite is known with unprecedented accuracy. The author then describes a method of measuring these relativistic precessions using Lageos together with another high altitude laser ranged similar satellite with appropriately chosen orbital parameters

  14. Non-Abelian gauge field theory in scale relativity

    International Nuclear Information System (INIS)

    Nottale, Laurent; Celerier, Marie-Noeelle; Lehner, Thierry

    2006-01-01

    Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a nondifferentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to the principle of relativity that has been extended to scales, these scale variables can themselves become functions of the space-time coordinates. Therefore, a coupling is expected between displacements in the fractal space-time and the transformations of these scale variables. In previous works, an Abelian gauge theory (electromagnetism) has been derived as a consequence of this coupling for global dilations and/or contractions. We consider here more general transformations of the scale variables by taking into account separate dilations for each of them, which yield non-Abelian gauge theories. We identify these transformations with the usual gauge transformations. The gauge fields naturally appear as a new geometric contribution to the total variation of the action involving these scale variables, while the gauge charges emerge as the generators of the scale transformation group. A generalized action is identified with the scale-relativistic invariant. The gauge charges are the conservative quantities, conjugates of the scale variables through the action, which find their origin in the symmetries of the ''scale-space.'' We thus found in a geometric way and recover the expression for the covariant derivative of gauge theory. Adding the requirement that under the scale transformations the fermion multiplets and the boson fields transform such that the derived Lagrangian remains invariant, we obtain gauge theories as a consequence of scale symmetries issued from a geometric space-time description

  15. A dual first-postulate basis for special relativity

    CERN Document Server

    Coleman, B

    2003-01-01

    An overlooked straightforward application of velocity reciprocity to a triplet of inertial frames in collinear motion identifies the ratio of their cyclic relative velocities' sum to the negative product as a cosmic invariant - whose inverse square root corresponds to a universal limit speed. A logical indeterminacy of the ratio equation establishes the repeatedly observed unchanged speed of stellar light as one instance of this universal limit speed. This formally renders the second postulate redundant. The ratio equation furthermore enables the limit speed to be quantified - in principle - independently of a limit speed signal. Assuming negligible gravitational fields, two deep-space vehicles in non-collinear motion could measure with only a single clock the limit speed against the speed of light - without requiring these speeds to be identical. Moreover, the cosmic invariant (from dynamics, equal to the mass-to-energy ratio) emerges explicitly as a function of signal response time ratios between three coll...

  16. Special and general relativity with applications to white dwarfs, neutron stars and black holes

    CERN Document Server

    Glendenning, Norman K

    2007-01-01

    Special and General Relativity are concisely developed together with essential aspects of nuclear and particle physics. Problem sets are provided for many chapters, making the book ideal for a course on the physics of white dwarf and neutron star interiors.

  17. Categories of relations as models of quantum theory

    Directory of Open Access Journals (Sweden)

    Chris Heunen

    2015-11-01

    Full Text Available Categories of relations over a regular category form a family of models of quantum theory. Using regular logic, many properties of relations over sets lift to these models, including the correspondence between Frobenius structures and internal groupoids. Over compact Hausdorff spaces, this lifting gives continuous symmetric encryption. Over a regular Mal'cev category, this correspondence gives a characterization of categories of completely positive maps, enabling the formulation of quantum features. These models are closer to Hilbert spaces than relations over sets in several respects: Heisenberg uncertainty, impossibility of broadcasting, and behavedness of rank one morphisms.

  18. From field theory to phenomenology: the history of dispersion relations

    International Nuclear Information System (INIS)

    Pickering, A.

    1989-01-01

    The authors chart the history of quantum field theory (QFT) in the 1950s with reference to the ideas of dispersion relations. QFT failed to explain strong interaction physics and so was discarded. Connections are drawn between a central group of particle theorists working on applying Kramers-Kronig light scattering relations to high energy particle scattering and the way physics developed. The concepts of single and double dispersion relations and Regge poles, when connected with the large quantity of empirical data from the large particle accelerators of the 1950s, could not be embodied within QFT, which then fell into decline. (UK)

  19. The Work Performed within Special Legal Labour Relations

    Directory of Open Access Journals (Sweden)

    Radu Răzvan Popescu

    2016-05-01

    Full Text Available Objectives The employment relationship is a contractual one and as such must have all the basic elements of an enforceable contract to make it legally binding. In strict contractual terms, the offer is made by the employer and formally accepted by the employee. Prior Work Once the acceptance has taken place, there is a legally binding agreement and an action will lie against the party who breaches that agreement, even though it may only just have come into existence. Results An employment contract, however, is unlike most other contracts. Although the parties will have negotiated the main terms, we shall see that a large number of terms will be implied into the agreement from all sorts of different sources and will not have been individually negotiated by the parties at all. This is what makes an employment contr act so different from other contracts. Value We think this article is an important step in the disclosure of the problem eraised by this types of labour performed in different legal labour relations.

  20. Relative judgment theory and the mediation of facial recognition: Implications for theories of eyewitness identification.

    Science.gov (United States)

    McAdoo, Ryan M; Gronlund, Scott D

    2016-01-01

    Many in the eyewitness identification community believe that sequential lineups are superior to simultaneous lineups because simultaneous lineups encourage inappropriate choosing due to promoting comparisons among choices (a relative judgment strategy), but sequential lineups reduce this propensity by inducing comparisons of lineup members directly to memory rather than to each other (an absolute judgment strategy). Different versions of the relative judgment theory have implicated both discrete-state and continuous mediation of eyewitness decisions. The theory has never been formally specified, but (Yonelinas, J Exp Psychol Learn Mem Cogn 20:1341-1354, 1994) dual-process models provide one possible specification, thereby allowing us to evaluate how eyewitness decisions are mediated. We utilized a ranking task (Kellen and Klauer, J Exp Psychol Learn Mem Cogn 40:1795-1804, 2014) and found evidence for continuous mediation when facial stimuli match from study to test (Experiment 1) and when they mismatch (Experiment 2). This evidence, which is contrary to a version of relative judgment theory that has gained a lot of traction in the legal community, compels reassessment of the role that guessing plays in eyewitness identification. Future research should continue to test formal explanations in order to advance theory, expedite the development of new procedures that can enhance the reliability of eyewitness evidence, and to facilitate the exploration of task factors and emergent strategies that might influence when recognition is continuously or discretely mediated.

  1. Relative entropy of excited states in two dimensional conformal field theories

    Energy Technology Data Exchange (ETDEWEB)

    Sárosi, Gábor [Department of Theoretical Physics, Institute of Physics, Budapest University of Technology,Budapest, H-1521 (Hungary); Ugajin, Tomonori [Kavli Institute for Theoretical Physics, University of California,Santa Barbara,CA 93106 (United States)

    2016-07-21

    We study the relative entropy and the trace square distance, both of which measure the distance between reduced density matrices of two excited states in two dimensional conformal field theories. We find a general formula for the relative entropy between two primary states with the same conformal dimension in the limit of a single small interval and find that in this case the relative entropy is proportional to the trace square distance. We check our general formulae by calculating the relative entropy between two generalized free fields and the trace square distance between the spin and disorder operators of the critical Ising model. We also give the leading term of the relative entropy in the small interval expansion when the two operators have different conformal dimensions. This turns out to be universal when the CFT has no primaires lighter than the stress tensor. The result reproduces the previously known special cases.

  2. Reviews Book: Marie Curie: A Biography Book: Fast Car Physics Book: Beautiful Invisible Equipment: Fun Fly Stick Science Kit Book: Quantum Theory Cannot Hurt You Book: Chaos: The Science of Predictable Random Motion Book: Seven Wonders of the Universe Book: Special Relativity Equipment: LabVIEWTM 2009 Education Edition Places to Visit: Edison and Ford Winter Estates Places to Visit: The Computer History Museum Web Watch

    Science.gov (United States)

    2011-07-01

    WE RECOMMEND Fun Fly Stick Science Kit Fun fly stick introduces electrostatics to youngsters Special Relativity Text makes a useful addition to the study of relativity as an undergraduate LabVIEWTM 2009 Education Edition LabVIEW sets industry standard for gathering and analysing data, signal processing, instrumentation design and control, and automation and robotics Edison and Ford Winter Estates Thomas Edison's home is open to the public The Computer History Museum Take a walk through technology history at this computer museum WORTH A LOOK Fast Car Physics Book races through physics Beautiful Invisible The main subject of this book is theoretical physics Quantum Theory Cannot Hurt You A guide to physics on the large and small scale Chaos: The Science of Predictable Random Motion Book explores the mathematics behind chaotic behaviour Seven Wonders of the Universe A textual trip through the wonderful universe HANDLE WITH CARE Marie Curie: A Biography Book fails to capture Curie's science WEB WATCH Web clips to liven up science lessons

  3. Squark and slepton mass relations in grand unified theories

    International Nuclear Information System (INIS)

    Cheng, H.; Hall, L.J.

    1995-01-01

    In the minimal supersymmetric standard model, assuming universal scalar masses at large energies, there are four intragenerational relations between the masses of the squarks and sleptons for each light generation. In this paper we study the scalar mass relations which follow only from the assumption that at large energies there is a grand unified theory which leads to a significant prediction of the weak mixing angle. Two new intragenerational mass relations for each of the light generations are derived. In addition, a third mass relation is found which relates the Higgs boson masses, the masses of the third generation scalars, and the masses of the scalars of the lighter generations. Verification of a fourth mass relation, involving only the charged slepton masses, provides a signal for SO(10) unification

  4. Special quasirandom structures for gadolinia-doped ceria and related materials

    KAUST Repository

    Wang, Hao

    2012-01-01

    Gadolinia doped ceria in its doped or strained form is considered to be an electrolyte for solid oxide fuel cell applications. The simulation of the defect processes in these materials is complicated by the random distribution of the constituent atoms. We propose the use of the special quasirandom structure (SQS) approach as a computationally efficient way to describe the random nature of the local cation environment and the distribution of the oxygen vacancies. We have generated two 96-atom SQS cells describing 9% and 12% gadolinia doped ceria. These SQS cells are transferable and can be used to model related materials such as yttria stabilized zirconia. To demonstrate the applicability of the method we use density functional theory to investigate the influence of the local environment around a Y dopant in Y-codoped gadolinia doped ceria. It is energetically favourable if Y is not close to Gd or an oxygen vacancy. Moreover, Y-O bonds are found to be weaker than Gd-O bonds so that the conductivity of O ions is improved. © 2012 the Owner Societies.

  5. On the relativity and equivalence principles in the gauge theory of gravitation

    International Nuclear Information System (INIS)

    Ivanenko, D.; Sardanashvily, G.

    1981-01-01

    One sees the basic ideas of the gauge gravitation theory still not generally accepted in spite of more than twenty years of its history. The chief reason lies in the fact that the gauge character of gravity is connected with the whole complex of problems of Einstein General Relativity: about the reference system definition, on the (3+1)-splitting, on the presence (or absence) of symmetries in GR, on the necessity (or triviality) of general covariance, on the meaning of equivalence principle, which led Einstein from Special to General Relativity |1|. The real actuality of this complex of interconnected problems is demonstrated by the well-known work of V. Fock, who saw no symmetries in General Relativity, declared the unnecessary Equivalence principle and proposed even to substitute the designation ''chronogeometry'' instead of ''general relativity'' (see also P. Havas). Developing this line, H. Bondi quite recently also expressed doubts about the ''relativity'' in Einstein theory of gravitation. All proposed versions of the gauge gravitation theory must clarify the discrepancy between Einstein gravitational field being a pseudo-Riemannian metric field, and the gauge potentials representing connections on some fiber bundles and there exists no group, whose gauging would lead to the purely gravitational part of connection (Christoffel symbols or Fock-Ivenenko-Weyl spinorial coefficients). (author)

  6. Effective Learning Environments in Relation to Different Learning Theories

    OpenAIRE

    Guney, Ali; Al, Selda

    2012-01-01

    There are diverse learning theories which explain learning processes which are discussed within this paper, through cognitive structure of learning process. Learning environments are usually described in terms of pedagogical philosophy, curriculum design and social climate. There have been only just a few studies about how physical environment is related to learning process. Many researchers generally consider teaching and learning issues as if independent from physical environment, whereas p...

  7. Arctic Sovereignty Disputes: International Relations Theory in the High North

    Science.gov (United States)

    2011-12-01

    Russians continue to retain their long-range strategic bombing fleets, consisting of the TU-160 Supersonic ( Blackjack ), an all-weather aircraft with...icebreakers, and the only operational heavy icebreaker, it is already beyond service life expectations and recently suffered a major engine failure...DISPUTES: INTERNATIONAL RELATIONS THEORY IN THE HIGH NORTH by Darrin D. Davis December 2011 Thesis Co-Advisors: Anne L. Clunan

  8. Student Understanding of Time in Special Relativity: Simultaneity and Reference Frames.

    Science.gov (United States)

    Scherr, Rachel E.; Shaffer, Peter S.; Vokos, Stamatis

    2001-01-01

    Reports on an investigation of students' understanding of the concept of time in special relativity. Discusses a series of research tasks to illustrate how student reasoning of fundamental concepts of relativity was probed. Indicates that after standard instruction, students have serious difficulties with the relativity of simultaneity and the…

  9. Nonlinear closure relations theory for transport processes in nonequilibrium systems

    International Nuclear Information System (INIS)

    Sonnino, Giorgio

    2009-01-01

    A decade ago, a macroscopic theory for closure relations has been proposed for systems out of Onsager's region. This theory is referred to as the thermodynamic field theory (TFT). The aim of this work was to determine the nonlinear flux-force relations that respect the thermodynamic theorems for systems far from equilibrium. We propose a formulation of the TFT where one of the basic restrictions, namely, the closed-form solution for the skew-symmetric piece of the transport coefficients, has been removed. In addition, the general covariance principle is replaced by the De Donder-Prigogine thermodynamic covariance principle (TCP). The introduction of TCP requires the application of an appropriate mathematical formalism, which is referred to as the entropy-covariant formalism. By geometrical arguments, we prove the validity of the Glansdorff-Prigogine universal criterion of evolution. A new set of closure equations determining the nonlinear corrections to the linear ('Onsager') transport coefficients is also derived. The geometry of the thermodynamic space is non-Riemannian. However, it tends to be Riemannian for high values of the entropy production. In this limit, we recover the transport equations found by the old theory. Applications of our approach to transport in magnetically confined plasmas, materials submitted to temperature, and electric potential gradients or to unimolecular triangular chemical reactions can be found at references cited herein. Transport processes in tokamak plasmas are of particular interest. In this case, even in the absence of turbulence, the state of the plasma remains close to (but, it is not in) a state of local equilibrium. This prevents the transport relations from being linear.

  10. Chiral trace relations in Ω-deformed N=2 theories

    Energy Technology Data Exchange (ETDEWEB)

    Beccaria, Matteo; Fachechi, Alberto; Macorini, Guido [Dipartimento di Matematica e Fisica Ennio De Giorgi,Università del Salento, Via Arnesano, 73100 Lecce (Italy); INFN - Sezione di LecceVia Arnesano, 73100 Lecce (Italy)

    2017-05-04

    We consider N=2SU(2) gauge theories in four dimensions (pure or mass deformed) and discuss the properties of the simplest chiral observables in the presence of a generic Ω-deformation. We compute them by equivariant localization and analyze the structure of the exact instanton corrections to the classical chiral ring relations. We predict exact relations valid at all instanton number among the traces 〈Trφ{sup n}〉, where φ is the scalar field in the gauge multiplet. In the Nekrasov-Shatashvili limit, such relations may be explained in terms of the available quantized Seiberg-Witten curves. Instead, the full two-parameter deformation enjoys novel features and the ring relations require non trivial additional derivative terms with respect to the modular parameter. Higher rank groups are briefly discussed emphasizing non-factorization of correlators due to the Ω-deformation. Finally, the structure of the deformed ring relations in the N=2{sup ⋆} theory is analyzed from the point of view of the Alday-Gaiotto-Tachikawa correspondence proving consistency as well as some interesting universality properties.

  11. A Rolling Element Bearing Fault Diagnosis Approach Based on Multifractal Theory and Gray Relation Theory.

    Science.gov (United States)

    Li, Jingchao; Cao, Yunpeng; Ying, Yulong; Li, Shuying

    2016-01-01

    Bearing failure is one of the dominant causes of failure and breakdowns in rotating machinery, leading to huge economic loss. Aiming at the nonstationary and nonlinear characteristics of bearing vibration signals as well as the complexity of condition-indicating information distribution in the signals, a novel rolling element bearing fault diagnosis method based on multifractal theory and gray relation theory was proposed in the paper. Firstly, a generalized multifractal dimension algorithm was developed to extract the characteristic vectors of fault features from the bearing vibration signals, which can offer more meaningful and distinguishing information reflecting different bearing health status in comparison with conventional single fractal dimension. After feature extraction by multifractal dimensions, an adaptive gray relation algorithm was applied to implement an automated bearing fault pattern recognition. The experimental results show that the proposed method can identify various bearing fault types as well as severities effectively and accurately.

  12. Hyperscaling relations in mass-deformed conformal gauge theories

    International Nuclear Information System (INIS)

    Del Debbio, Luigi; Zwicky, Roman

    2010-01-01

    We present a number of analytical results which should guide the interpretation of lattice data in theories with an infrared fixed point (IRFP) deformed by a mass term δL=-mqq. From renormalization group (RG) arguments we obtain the leading scaling exponent, F∼m η F , for all decay constants of the lowest lying states other than the ones affected by the chiral anomaly and the tensor ones. These scaling relations provide a clear cut way to distinguish a theory with an IRFP from a confining theory with heavy fermions. Moreover, we present a derivation relating the scaling of ∼m η qq to the scaling of the density of eigenvalues of the massless Dirac operator ρ(λ)∼λ η qq . RG arguments yield η qq =(3-γ * )/(1+γ * ) as a function of the mass anomalous dimension γ * at the IRFP. The arguments can be generalized to other condensates such as 2 >∼m 4/(1+γ * ) . We describe a heuristic derivation of the result on the condensates, which provides interesting connections between different approaches. Our results are compared with existing data from numerical studies of SU(2) with two adjoint Dirac fermions.

  13. A Solution to the Cosmological Problem of Relativity Theory

    Science.gov (United States)

    Janzen, Daryl

    After nearly a century of scientific investigation, the standard cosmological theory continues to have many unexplained problems, which invariably amount to one troubling statement: we know of no good reason for the Universe to appear just as it does, which is described extremely well by the flat ΛCDM cosmological model. Therefore, the problem is not that the physical model is at all incompatible with observation, but that, as our empirical results have been increasingly constrained, it has also become increasingly obvious that the Universe does not meet our prior expectations; e.g., the evidence suggests that the Universe began from a singularity of the theory that is used to describe it, and with space expanding thereafter in cosmic time, even though relativity theory is thought to imply that no such objective foliation of the spacetime continuum should reasonably exist. Furthermore, the expanding Universe is well-described as being flat, isotropic, and homogeneous, even though its shape and expansion rate are everywhere supposed to be the products of local energy-content---and the necessary prior uniform distribution, of just the right amount of matter for all three of these conditions to be met, could not have been causally determined to begin with. And finally, the empirically constrained density parameters now indicate that all of the matter that we directly observe should make up only four percent of the total, so that the dominant forms of energy in the Universe should be dark energy in the form of a cosmological constant, Λ, and cold dark matter (CDM). The most common ways of attacking these problems have been: to apply modifications to the basic physical model, e.g. as in the inflation and quintessence theories which strive to resolve the horizon, flatness, and cosmological constant problems; to use particle physics techniques in order to formulate the description of dark matter candidates that might fit with observations; and, in the case of the Big

  14. Some questions of using the algebraic coding theory for construction of special-purpose processors in high energy physics spectrometers

    International Nuclear Information System (INIS)

    Nikityuk, N.M.

    1989-01-01

    The results of investigations of using the algebraic coding theory for the creation of parallel encoders, majority coincidence schemes and coordinate processors for the first and second trigger levels are described. Concrete examples of calculation and structure of special-purpose processor using the table arithmetic method are given for multiplicity t ≤ 5. The question of using parallel and sequential syndrome coding methods for the registration of events with clusters is discussed. 30 refs.; 10 figs

  15. Functional methods underlying classical mechanics, relativity and quantum theory

    International Nuclear Information System (INIS)

    Kryukov, A

    2013-01-01

    The paper investigates the physical content of a recently proposed mathematical framework that unifies the standard formalisms of classical mechanics, relativity and quantum theory. In the framework states of a classical particle are identified with Dirac delta functions. The classical space is ''made'' of these functions and becomes a submanifold in a Hilbert space of states of the particle. The resulting embedding of the classical space into the space of states is highly non-trivial and accounts for numerous deep relations between classical and quantum physics and relativity. One of the most striking results is the proof that the normal probability distribution of position of a macroscopic particle (equivalently, position of the corresponding delta state within the classical space submanifold) yields the Born rule for transitions between arbitrary quantum states.

  16. Applying social theory to understand health-related behaviours.

    Science.gov (United States)

    Holman, Daniel; Borgstrom, Erica

    2016-06-01

    Health-related behaviours are a concern for contemporary health policy and practice given their association with a range of illness outcomes. Many of the policies and interventions aimed at changing health-related behaviours assume that people are more or less free to choose their behaviour and how they experience health. Within sociology and anthropology, these behaviours are viewed not as acts of choice but as actions and practices situated within a larger sociocultural context. In this paper, we outline three theoretical perspectives useful in understanding behaviours that may influence one's health in this wider context: theories of social practice, social networks and interactionism. We argue that by better understanding how health-related behaviours are performed in people's everyday lives, more suitable interventions and clinical management can be developed. Published by the BMJ Publishing Group Limited. For permission to use (where not already granted under a licence) please go to http://www.bmj.com/company/products-services/rights-and-licensing/

  17. Theories of International Relations and the Explanation of Foreign Aid

    Directory of Open Access Journals (Sweden)

    PAUSELLI, Gino

    2013-06-01

    Full Text Available 50 years after the publication of the first and influential article in international relations (IR analyzing foreign aid motivations, A theory of foreign aid, by Hans Morgenthau, IR scholarship has not yet accomplished a consistent theoretical body explaining international development cooperation. Most of the empirical studies on foreign aid have been contributions from other disciplines, especially economics. Research from the field of international relations has been mostly descriptive or poorly connected with IR paradigms.This article proposes to analyze motivations of foreign aid allocations decisions of donors. These motivations will be examined from the theoretical perspective of the international relations scholarship. In this way, it is sought to contribute, from the discipline of IR, to the explanation of the process in which developed countries make transfers of resources to developing countries.

  18. Theory of Nonlocal Point Transformations in General Relativity

    Directory of Open Access Journals (Sweden)

    Massimo Tessarotto

    2016-01-01

    Full Text Available A discussion of the functional setting customarily adopted in General Relativity (GR is proposed. This is based on the introduction of the notion of nonlocal point transformations (NLPTs. While allowing the extension of the traditional concept of GR-reference frame, NLPTs are important because they permit the explicit determination of the map between intrinsically different and generally curved space-times expressed in arbitrary coordinate systems. For this purpose in the paper the mathematical foundations of NLPT-theory are laid down and basic physical implications are considered. In particular, explicit applications of the theory are proposed, which concern (1 a solution to the so-called Einstein teleparallel problem in the framework of NLPT-theory; (2 the determination of the tensor transformation laws holding for the acceleration 4-tensor with respect to the group of NLPTs and the identification of NLPT-acceleration effects, namely, the relationship established via general NLPT between particle 4-acceleration tensors existing in different curved space-times; (3 the construction of the nonlocal transformation law connecting different diagonal metric tensors solution to the Einstein field equations; and (4 the diagonalization of nondiagonal metric tensors.

  19. Special quasirandom structures for gadolinia-doped ceria and related materials

    KAUST Repository

    Wang, Hao; Chroneos, Alexander I.; Jiang, Chao; Schwingenschlö gl, Udo

    2012-01-01

    cells describing 9% and 12% gadolinia doped ceria. These SQS cells are transferable and can be used to model related materials such as yttria stabilized zirconia. To demonstrate the applicability of the method we use density functional theory

  20. Pre-Service Physics Teachers' Difficulties in Understanding Special Relativity Topics

    Science.gov (United States)

    Ünlü Yavas, Pervin; Kizilcik, Hasan Sahin

    2016-01-01

    The aim of this study is to identify the reasons why pre-service physics teachers have difficulties related to special relativity topics. In this study conducted with 25 pre-service physics teachers, the case study method, which is a qualitative research method, was used. Interviews were held with the participants about their reasons for…

  1. Introduction to the Special Issue: New and Interdisciplinary Approaches to Linguistic Relativity

    Science.gov (United States)

    Athanasopoulos, Panos; Bylund, Emanuel; Casasanto, Daniel

    2016-01-01

    This Special Issue of "Language Learning" presents an interdisciplinary state-of-the-art overview of current approaches to linguistic relativity. It contains empirical and theoretical studies and reflections on linguistic relativity from a variety of perspectives, such as associative learning, conceptual transfer, multilingual awareness,…

  2. Cyborg pantocrator: international relations theory from decisionism to rational choice.

    Science.gov (United States)

    Guilhot, Nicolas

    2011-01-01

    International relations theory took shape in the 1950s in reaction to the behavioral social science movement, emphasizing the limits of rationality in a context of high uncertainty, weak rules, and the possibility of lethal conflict. Yet the same discipline rapidly developed "rational choice" models applied to foreign policy decision making or nuclear strategy. This paper argues that this transformation took place almost seamlessly around the concept of "decision." Initially associated with an antirationalist or "decisionist" approach to politics, the sovereign decision became the epitome of political rationality when it was redescribed as "rational choice," thus easing the cultural acceptance of political realism in the postwar years. © 2011 Wiley Periodicals, Inc.

  3. Implicit ligand theory for relative binding free energies

    Science.gov (United States)

    Nguyen, Trung Hai; Minh, David D. L.

    2018-03-01

    Implicit ligand theory enables noncovalent binding free energies to be calculated based on an exponential average of the binding potential of mean force (BPMF)—the binding free energy between a flexible ligand and rigid receptor—over a precomputed ensemble of receptor configurations. In the original formalism, receptor configurations were drawn from or reweighted to the apo ensemble. Here we show that BPMFs averaged over a holo ensemble yield binding free energies relative to the reference ligand that specifies the ensemble. When using receptor snapshots from an alchemical simulation with a single ligand, the new statistical estimator outperforms the original.

  4. Stres and burnout related to work with special education needs students in elementary school teachers

    Directory of Open Access Journals (Sweden)

    Katja Košir

    2014-11-01

    Full Text Available The aim of the present study was to examine the predictive value of elementary school teachers' workplace characteristics on work stress and burnout. Workplace characteristics were defined as job demands and resources, which were further divided into general and specific, related to work with special education needs students. We examined whether variables related to work with special education needs students explained incremental variance in stress and burnout above and beyond general workplace characteristics. Elementary school teachers from all twelve regions of Slovenia (N ranges from 439 to 886 took part in the study. The results have shown that workplace characteristics independently predict a significant amount of variance in stress, emotional exhaustion and depersonalization among teachers. General job demands and specific demands related to special education needs students are the highest and most stable predictors of all three studied criteria. Based on our findings, we suggest several measures which can help to alleviate stress and foster efficient coping strategies.

  5. Implementing software based on relation frame theory to develop and increase relational cognitive skills

    Science.gov (United States)

    Presti, Giovambattista; Messina, Concetta; Mongelli, Francesca; Sireci, Maria Josè; Collotta, Mario

    2017-11-01

    Relational Frame Theory is a post-skinnerian theory of language and cognition based on more than thirty years of basic and applied research. It defines language and cognitive skills as an operant repertoire of responses to arbitrarily related stimuli specific, as far as is now known, of the human species. RFT has been proved useful in addressing cognitive barriers to human action in psychotherapy and also improving children skills in reading, IQ testing, and in metaphoric and categorical repertoires. We present a frame of action where RFT can be used in programming software to help autistic children to develop cognitive skills within a developmental vision.

  6. Work-related violence, lifestyle, and health among special education teachers working in Finnish basic education.

    Science.gov (United States)

    Ervasti, Jenni; Kivimäki, Mika; Pentti, Jaana; Salmi, Venla; Suominen, Sakari; Vahtera, Jussi; Virtanen, Marianna

    2012-07-01

    Studies have reported higher levels of absenteeism due to illness among special education teachers compared to other teachers, but it is not known which factors might contribute to this difference. We examined whether health, health behaviors, and exposure to violence at work differed between special education and general education teachers in Finnish basic education. Survey data from 5760 general and special education teachers were analyzed with multilevel logistic models adjusted for individual- and school-level confounding factors. No difference was found between the health behaviors of general and special education teachers. The differences in physical and mental health between the two groups were also relatively small. With regard to work-related violence, however, male special education teachers were 3 times more likely to be exposed to mental abuse, and 5 times more likely to be exposed to physical violence when compared to their male colleagues in general education. Although female special educators were also at an increased risk of mental abuse and physical violence compared to their female general teacher colleagues, their odds ratios for such an encounter were smaller (2- and 3-fold, respectively) than those of male special education teachers. The school-level variance of physical violence toward teachers was large, which indicates that while most schools have little physical violence toward teachers, schools do exist in which teachers' exposure to violence is common. These findings suggest that special education teachers may benefit from training for handling violent situations and interventions to prevent violence at schools. © 2012, American School Health Association.

  7. Neurath's ship: The constitutive relation between normative and descriptive theories of rationality

    OpenAIRE

    Waldmann, Michael R.

    2011-01-01

    I defend the claim that in psychological theories concerned with theoretical or practical rationality there is a constitutive relation between normative and descriptive theories: Normative theories provide idealized descriptive accounts of rational agents. However, we need to resist the temptation to collapse descriptive theories with any specific normative theory. I show how a partial separation is possible. peerReviewed

  8. The relation between multilocus population genetics and social evolution theory.

    Science.gov (United States)

    Gardner, Andy; West, Stuart A; Barton, Nicholas H

    2007-02-01

    Evolution at multiple gene positions is complicated. Direct selection on one gene disturbs the evolutionary dynamics of associated genes. Recent years have seen the development of a multilocus methodology for modeling evolution at arbitrary numbers of gene positions with arbitrary dominance and epistatic relations, mode of inheritance, genetic linkage, and recombination. We show that the approach is conceptually analogous to social evolutionary methodology, which focuses on selection acting on associated individuals. In doing so, we (1) make explicit the links between the multilocus methodology and the foundations of social evolution theory, namely, Price's theorem and Hamilton's rule; (2) relate the multilocus approach to levels-of-selection and neighbor-modulated-fitness approaches in social evolution; (3) highlight the equivalence between genetical hitchhiking and kin selection; (4) demonstrate that the multilocus methodology allows for social evolutionary analyses involving coevolution of multiple traits and genetical associations between nonrelatives, including individuals of different species; (5) show that this methodology helps solve problems of dynamic sufficiency in social evolution theory; (6) form links between invasion criteria in multilocus systems and Hamilton's rule of kin selection; (7) illustrate the generality and exactness of Hamilton's rule, which has previously been described as an approximate, heuristic result.

  9. 34 CFR 300.534 - Protections for children not determined eligible for special education and related services.

    Science.gov (United States)

    2010-07-01

    ... special education and related services. 300.534 Section 300.534 Education Regulations of the Offices of the Department of Education (Continued) OFFICE OF SPECIAL EDUCATION AND REHABILITATIVE SERVICES... children not determined eligible for special education and related services. (a) General. A child who has...

  10. Gravitation and Special Relativity from Compton Wave Interactions at the Planck Scale: An Algorithmic Approach

    Science.gov (United States)

    Blackwell, William C., Jr.

    2004-01-01

    In this paper space is modeled as a lattice of Compton wave oscillators (CWOs) of near- Planck size. It is shown that gravitation and special relativity emerge from the interaction between particles Compton waves. To develop this CWO model an algorithmic approach was taken, incorporating simple rules of interaction at the Planck-scale developed using well known physical laws. This technique naturally leads to Newton s law of gravitation and a new form of doubly special relativity. The model is in apparent agreement with the holographic principle, and it predicts a cutoff energy for ultrahigh-energy cosmic rays that is consistent with observational data.

  11. General Theory of Relativity: Will It Survive the Next Decade?

    Science.gov (United States)

    Bertolami, Orfeu; Paramos, Jorge; Turyshev, Slava G.

    2006-01-01

    The nature of gravity is fundamental to our understanding of our own solar system, the galaxy and the structure and evolution of the Universe. Einstein's general theory of relativity is the standard model that is used for almost ninety years to describe gravitational phenomena on these various scales. We review the foundations of general relativity, discuss the recent progress in the tests of relativistic gravity, and present motivations for high-accuracy gravitational experiments in space. We also summarize the science objectives and technology needs for the laboratory experiments in space with laboratory being the entire solar system. We discuss the advances in our understanding of fundamental physics anticipated in the near future and evaluate discovery potential for the recently proposed gravitational experiments.

  12. Gauge theories, duality relations and the tensor hierarchy

    International Nuclear Information System (INIS)

    Bergshoeff, Eric A.; Hohm, Olaf; Hartong, Jelle; Huebscher, Mechthild; OrtIn, Tomas

    2009-01-01

    We compute the complete 3- and 4-dimensional tensor hierarchies, i.e. sets of p-form fields, with 1 ≤ p ≤ D, which realize an off-shell algebra of bosonic gauge transformations. We show how these tensor hierarchies can be put on-shell by introducing a set of duality relations, thereby introducing additional scalars and a metric tensor. These so-called duality hierarchies encode the equations of motion of the bosonic part of the most general gauged supergravity theories in those dimensions, including the (projected) scalar equations of motion. We construct gauge-invariant actions that include all the fields in the tensor hierarchies. We elucidate the relation between the gauge transformations of the p-form fields in the action and those of the same fields in the tensor hierarchy.

  13. Unified field theory on the basis of the projective theory of relativity

    International Nuclear Information System (INIS)

    Lessner, G.

    1982-01-01

    A unified field theory is developed on the basis of the five-dimensional vacuum equations R/sub munu/ = 0 in the projective theory of relativity. The four-dimensional field equations following from R/sub munu/ = 0 by projection are a generalized Einstein-Maxwell theory, for which the generalization is given by a scalar field. The particle concept based on these equations represents the intrinsic particle properties, which are the rest mass, or the energy in case of photons and neutrinos, the charge and the spin by integrals of the field distribution extended over spacelike hypersurfaces. The energy concept is based on Moller's energy-momentum complex. Moller's argument against his energy-momentum complex is discussed and refuted. The spin concept is derived from the axial symmetry of the field distribution. The stationary axially symmetric field is studied in detail. In the spherically symmetric static case the solutions of the field equations are given and investigated for their particle properties. It is shown that one and only one type of solution yields a good approach to the distribution of charge and rest mass in the proton. However, none of the spherically symmetric solutions represents the electron

  14. [Relational frame theory - a theoretical framework for contextual behavioral science].

    Science.gov (United States)

    Kensche, M; Schweiger, U

    2015-05-01

    Therapists have to deal with verbal systems and often work with verbal exchange. Therefore, a psychological theory is required, which teaches the therapist how to accomplish this task. The BRT is a theory of human language and cognition that explains how people use their verbal behavior as stimuli in their interrelations and how they act and react, based on the resulting relationships. This behavior is learned very early in the course of language acquisition and functions as a generalized operant. A prerequisite for this is the ability of people to undergo mental simulation. This enables them to construct diverse relational frameworks between individual stimuli. Without relational frameworks, people cannot function. The ability to establish a relational framework is a prerequisite for the formation of rule-governed behavior. Rule-governed behavior economizes complex decision processes, creates interpersonal security and enables dealing with events before they take place. On the other hand, the same properties that enable people to solve problems effectively can also contribute to rigid adherence to rules and experience avoidance. Relational frameworks, once established, outweigh other sources of behavioral regulation. Thus, it can become the basis of psychopathology. Poor contextual control makes it difficult for people to devote flexible, focused and voluntary attention to the present and align their actions with the immediate present. Contextual psychotherapy methods that are based on the BRT start precisely at this point: Targeted establishment of new contingencies in the therapeutic interaction through systematic strengthening of metacognitive mode and through the establishment of new rules that make possible a change in the rule-governed behavior enable undermining of dysfunctional rule-governed behavior and build up desirable behavior. This allows any therapeutic process to be more effective - regardless of the patient's expressed symptoms. © Georg Thieme

  15. Foundations of relativity theory. 7. ed.; Grundzuege der Relativitaetstheorie

    Energy Technology Data Exchange (ETDEWEB)

    Einstein, Albert

    2009-07-01

    In the present elaboration of four speeches, which I have held at the Princeton University in May 1921 I wanted to summarize the main thoughts and mathematical methods of relativity theory. Thereby I have attempted to leave out all less essential but to treat the fundamental so that the whole can serve as introduction for all those which master the elements of advanced mathematics but want not apply all to much time and inconvenience to the object. Completeness can this short presentation self-evidently not require so much as I have not treated the more subtle, more mathematically interesting developments, which are based on the variational calculus. My main goal was to let the fundamental in the whole way of thought of the theory clearly come forward. [German] ''In der vorliegenden Ausarbeitung von vier Vortraegen, die ich an der Universitaet Princeton im Mai 1921 gehalten habe, wollte ich die Hauptgedanken und mathematischen Methoden der Relativitaetstheorie zusammenfassen. Dabei habe ich mich bemueht, alles weniger Wesentliche wegzulassen, das Grundsaetzliche aber doch so zu behandeln, dass das Ganze als Einfuehrung fuer alle diejenigen dienen kann, welche die Elemente der hoeheren Mathematik beherrschen, aber nicht allzuviel Zeit und Muehe auf den Gegenstand verwenden wollen. Auf Vollstaendigkeit kann diese kurze Darlegung selbstverstaendlich keinen Anspruch machen, zumal ich die feineren, mehr mathematisch interessanten Entwicklungen, welche sich auf Variationsrechnung gruenden, nicht behandelt habe. Mein Hauptziel war es, das Grundsaetzliche in dem ganzen Gedankengang der Theorie klar hervortreten zu lassen.'' Albert Einstein (Vorwort zur 1. Auflage der ''Vier Vorlesungen ueber Relativitaetstheorie'') (orig.)

  16. Einstein's space-time an introduction to special and general relativity

    CERN Document Server

    Ferraro, Rafael

    2007-01-01

    Einstein's Space-Time: An Introduction to Special and General Relativity is a textbook addressed to students in physics and other people interested in Relativity and a history of physics. The book contains a complete account of Special Relativity that begins with the historical analysis of the reasons that led to a change in our manner of regarding the space and time. The first chapters are aimed to afford a deep understanding of the relativistic spacetime and its consequences for Dynamics. The chapter about covariant formulation includes among its topics the concepts of volume and hypersurfaces in manifolds, energy-momentum tensor of a fluid, and prepares the language for General Relativity. The last two chapters are devoted to an introduction of General Relativity and Cosmology in a modern approach connected with the latest discoveries in these areas.

  17. Special Interests and Transnational Relations in Agricultural Trade: Implications for United States-Mexico Relations,

    Science.gov (United States)

    1980-01-01

    to -- oi )A. ~ o.~ ~.;:ve, i LA ot octn abTe ’,o Jta. -,a. it a n it, ;’u:s *:j :,:~ to ~ a*i t... r;:l ~e4cta 4oaj. acs. - -2- vWe have had ieetings...noviembre de 1977, p. 22. 9. For a discussion of this issue, cf. Comercio Exterior, special issue "Alimentacicn, crisis agricola y economia campesina," vol...via telefonia," AARC Tomato File. 15. CAADES to -Aifredo Valdez Montoya, Gobernador Constitucional del Estado de Sinaloa, 13 enero de 1969. 16. " Las

  18. Testing of the line element of special relativity with rotating systems

    Science.gov (United States)

    Vargas, Jose G.; Torr, Douglas G.

    1989-01-01

    Experiments with rotating systems are examined from the point of view of a test theory of the Lorentz transformations (LTs), permitting, in principle, the verification of the simultaneity relation. The significance of the experiments involved in the testing of the LTs can be determined using Robertson's test theory (RTT). A revised RTT is discussed, and attention is given to the Ehrenfest paradox in connection with the testing of the LTs.

  19. Trait Emotional Intelligence of Greek Special Education Teachers in Relation to Burnout and Job Satisfaction

    Science.gov (United States)

    Platsidou, Maria

    2010-01-01

    This study investigates perceived emotional intelligence (EI) in relation to burnout syndrome and job satisfaction in primary special education teachers from Greece. EI was measured by the EIS developed by Schutte et al. (1998). Factor analysis revealed that four factors can be identified in the EIS. Results showed that Greek teachers reported…

  20. Special relativity in the school laboratory: A simple apparatus for cosmic-ray muon detection

    OpenAIRE

    Singh, P.; Hedgeland, H.

    2015-01-01

    We use apparatus based on two Geiger-Müller tubes, a simple electronic circuit and a Raspberry Pi computer to illustrate relativistic time dilation affecting cosmic-ray muons travelling through the atmosphere to the Earth's surface. The experiment we describe lends itself to both classroom demonstration to accompany the topic of special relativity and to extended investigations for more inquisitive students.

  1. Centre-of-mass frames in six-dimensional special relativity

    International Nuclear Information System (INIS)

    Cole, E.A.B.

    1980-01-01

    Centre-of-mass frames are defined in six-dimensional special relativity. In particular, these frames are studied for various pairs of particles which can be any combination of bradyons, luxons and tachyons. These frames can be subluminal, superluminal or non-existent, depending on the angle between the particle time vectors. (author)

  2. Health-Related Quality of Life in Children Attending Special and Typical Education Greek Schools

    Science.gov (United States)

    Papadopoulou, D.; Malliou, P.; Kofotolis, N.; Vlachopoulos, S. P.; Kellis, E.

    2017-01-01

    The purpose of this study was to examine parental perceptions about Health Related Quality of Life (HRQoL) of typical education and special education students in Greece. The Pediatric Quality of Life Inventory (PedsQL) was administered to the parents of 251 children from typical schools, 46 students attending integration classes (IC) within a…

  3. A Simple Electromagnetic Model for the Light Clock of Special Relativity

    Science.gov (United States)

    Smith, Glenn S.

    2011-01-01

    Thought experiments involving a light clock are common in introductory treatments of special relativity, because they provide a simple way of demonstrating the non-intuitive phenomenon of time dilation. The properties of the ray or pulse of light that is continuously reflected between the parallel mirrors of the clock are often stated vaguely and…

  4. Parsing the Relations of Race and Socioeconomic Status in Special Education Disproportionality

    Science.gov (United States)

    Kincaid, Aleksis P.; Sullivan, Amanda L.

    2017-01-01

    This study investigated how student and school-level socioeconomic status (SES) measures predict students' odds of being identified for special education, particularly high-incidence disabilities. Using the Early Childhood Longitudinal Study--Kindergarten cohort, hierarchical models were used to determine the relations of student and school SES to…

  5. Communication and Exchange of Specialized Health-Related Support Among People With Experiential Similarity on Facebook.

    Science.gov (United States)

    Gage-Bouchard, Elizabeth A; LaValley, Susan; Mollica, Michelle; Beaupin, Lynda Kwon

    2017-10-01

    Social support is an important factor that shapes how people cope with illness, and health-related communication among peers managing the same illness (network ties with experiential similarity) offers specialized information, resources, and emotional support. Facebook has become a ubiquitous part of many Americans' lives, and may offer a way for patients and caregivers experiencing a similar illness to exchange specialized health-related support. However, little is known about the content of communication among people who have coped with the same illness on personal Facebook pages. We conducted a content analysis of 12 months of data from 18 publicly available Facebook pages hosted by parents of children with acute lymphoblastic leukemia, focusing on communication between users who self-identified as parents of pediatric cancer patients. Support exchanges between users with experiential similarity contained highly specialized health-related information, including information about health services use, symptom recognition, compliance, medication use, treatment protocols, and medical procedures. Parents also exchanged tailored emotional support through comparison, empathy, encouragement, and hope. Building upon previous research documenting that social media use can widen and diversify support networks, our findings show that cancer caregivers access specialized health-related informational and emotional support through communication with others who have experienced the same illness on personal Facebook pages. These findings have implications for health communication practice and offer evidence to tailor M-Health interventions that leverage existing social media platforms to enhance peer support for patients and caregivers.

  6. 26 CFR 1.9002-5 - Special rules relating to interest.

    Science.gov (United States)

    2010-04-01

    ... TAX (CONTINUED) INCOME TAXES General Actuarial Valuations § 1.9002-5 Special rules relating to... notice and demand for payment of the unpaid tax to the date of payment; or (ii) In the case of... issuance of the notice and demand for such payment. [T.D. 6490, 25 FR 8373, Sept. 1, 1960] ...

  7. Some critical issues in special needs education as they relate to ...

    African Journals Online (AJOL)

    The study examines five critical issues in special education as they relate to visual impairment vis a vis mercy killing (euthanasia), gender, seclusion, castration and genetic engineering. Literature in the five stated issues was reviewed to provide an insight into these areas with particular reference to visual impairment.

  8. Visualizing Special Relativity: The Field of An Electric Dipole Moving at Relativistic Speed

    Science.gov (United States)

    Smith, Glenn S.

    2011-01-01

    The electromagnetic field is determined for a time-varying electric dipole moving with a constant velocity that is parallel to its moment. Graphics are used to visualize this field in the rest frame of the dipole and in the laboratory frame when the dipole is moving at relativistic speed. Various phenomena from special relativity are clearly…

  9. A Simple Derivation of Time Dilation and Length Contraction in Special Relativity

    Science.gov (United States)

    Behroozi, Fred

    2014-01-01

    Undergraduate physics majors typically begin their study of modern physics with special relativity. It is here that physics students first encounter the counterintuitive concepts of time dilation and length contraction. Unfortunately, the derivations of these results are often cloaked in several layers of analysis that render them rather…

  10. Lorentz Contraction, Bell's Spaceships and Rigid Body Motion in Special Relativity

    Science.gov (United States)

    Franklin, Jerrold

    2010-01-01

    The meaning of Lorentz contraction in special relativity and its connection with Bell's spaceships parable is discussed. The motion of Bell's spaceships is then compared with the accelerated motion of a rigid body. We have tried to write this in a simple form that could be used to correct students' misconceptions due to conflicting earlier…

  11. 75 FR 18138 - Health Care Eligibility Under the Secretarial Designee Program and Related Special Authorities

    Science.gov (United States)

    2010-04-09

    ... Component members not in a present duty status. This authority includes payment for health care services in... 0790-AI52] Health Care Eligibility Under the Secretarial Designee Program and Related Special... establish policies and assign responsibilities for health care eligibility under the Secretarial Designee...

  12. 75 FR 72682 - Health Care Eligibility Under the Secretarial Designee Program and Related Special Authorities

    Science.gov (United States)

    2010-11-26

    ... members not in a present duty status. This authority includes payment for health care services in private... 0790-AI52 Health Care Eligibility Under the Secretarial Designee Program and Related Special... assigns responsibilities for health care eligibility under the Secretarial Designee Program. It also...

  13. Lorentz contraction, Bell's spaceships and rigid body motion in special relativity

    International Nuclear Information System (INIS)

    Franklin, Jerrold

    2010-01-01

    The meaning of Lorentz contraction in special relativity and its connection with Bell's spaceships parable is discussed. The motion of Bell's spaceships is then compared with the accelerated motion of a rigid body. We have tried to write this in a simple form that could be used to correct students' misconceptions due to conflicting earlier treatments.

  14. 27 CFR 53.143 - Special rules relating to further manufacture.

    Science.gov (United States)

    2010-04-01

    ... further manufacture. 53.143 Section 53.143 Alcohol, Tobacco Products and Firearms ALCOHOL AND TOBACCO TAX... AND AMMUNITION Exemptions, Registration, Etc. § 53.143 Special rules relating to further manufacture... the Code for use by it in further manufacture shall be treated as the manufacturer or producer of such...

  15. Relations between zeros of special polynomials associated with the Painleve equations

    International Nuclear Information System (INIS)

    Kudryashov, Nikolai A.; Demina, Maria V.

    2007-01-01

    A method for finding relations of roots of polynomials is presented. Our approach allows us to get a number of relations between the zeros of the classical polynomials as well as the roots of special polynomials associated with rational solutions of the Painleve equations. We apply the method to obtain the relations for the zeros of several polynomials. These are: the Hermite polynomials, the Laguerre polynomials, the Yablonskii-Vorob'ev polynomials, the generalized Okamoto polynomials, and the generalized Hermite polynomials. All the relations found can be considered as analogues of generalized Stieltjes relations

  16. Relation of a unified quantum field theory of spinors to the structure of general relativity

    International Nuclear Information System (INIS)

    Kober, Martin

    2009-01-01

    Based on a unified quantum field theory of spinors assumed to describe all matter fields and their interactions we construct the space-time structure of general relativity according to a general connection within the corresponding spinor space. The tetrad field and the corresponding metric field are composed from a space-time dependent basis of spinors within the internal space of the fundamental matter field. Similar to twistor theory the Minkowski signature of the space-time metric is related to this spinor nature of elementary matter, if we assume the spinor space to be endowed with a symplectic structure. The equivalence principle and the property of background independence arise from the fact that all elementary fields are composed from the fundamental spinor field. This means that the structure of space-time according to general relativity seems to be a consequence of a fundamental theory of matter fields and not a presupposition as in the usual setting of relativistic quantum field theories.

  17. Problems of development and putting into education process an electronic textbook on special discipline 'General theory and construction of heat-and-power engineering facilities'

    International Nuclear Information System (INIS)

    Karitskaya, S.G.; Ruzanov, K.A.; Davletov, V.S.

    2005-01-01

    The results of work of making the electronic textbook of special discipline ('General theory and construction of heat-and-power engineering facilities' are brought. The principles and requirements, presented towards literature of such type, are outlined. (author)

  18. What's the Use of Ethical Philosophy? The Role of Ethical Theory in Special Educational Needs

    Science.gov (United States)

    Lewin, David

    2014-01-01

    This article examines the relevance of modern moral philosophy to education, with particular reference to special educational needs. Where moral philosophers explore the tension between utilitarian and deontological reasoning, they often consider the balance between the rights of the individual and the benefits or costs for the majority. I argue…

  19. Characterizing the Development of Specialized Mathematical Content Knowledge for Teaching in Algebraic Reasoning and Number Theory

    Science.gov (United States)

    Bair, Sherry L.; Rich, Beverly S.

    2011-01-01

    This article characterizes the development of a deep and connected body of mathematical knowledge categorized by Ball and Bass' (2003b) model of Mathematical Knowledge for Teaching (MKT), as Specialized Content Knowledge for Teaching (SCK) in algebraic reasoning and number sense. The research employed multiple cases across three years from two…

  20. Research, Learning Theory, and the Ideas of Robert G. Sidnell. Special Issue.

    Science.gov (United States)

    Alexander, David, Ed.; And Others

    1987-01-01

    Intended as a memorial to Robert G. Sidnell, this special issue contains articles about areas of music education which he promoted. In "The Dimensions of Research in Music Education," Sidnell concluded that music education research encompasses all humanistic disciplines as well as the behavioral and social sciences. James Carlsen, in…