Showing papers on "Special relativity (alternative formulations) published in 1978"
TL;DR: In this article, the positive energy argument of Geroch for time-symmetric initial data sets can be generalized to general initial data set and shown to be applicable to general data sets.
Abstract: We show that the positive energy argument of Geroch for time‐symmetric initial data sets can be generalized to general initial data sets
101 citations
TL;DR: Barut and R Raczka as discussed by the authors presented the mathematical foundations of Lie algebras and of topological groups for theoretical physicists interested in elementary particles or special relativity, and their mathematical foundations are thoroughly covered in the substantial mathematical chapters.
Abstract: A O Barut and R Raczka Warsaw: Polish Scientific Publishers 1977 pp xix + 717 This book deserves to become the standard work on group representations for theoretical physicists interested in elementary particles or special relativity. In keeping with the research needs of the times, the mathematical foundations of Lie algebras and of topological groups are thoroughly covered in the substantial mathematical chapters.
84 citations
61 citations
01 Jan 1978
TL;DR: In this article, the physics of space and time are studied in the context of vector and dyadic notation in 3D space and 3D dimensions, with a focus on simple fluids.
Abstract: Preface 1. The physics of space and time 2. Affine spaces in mathematics and physics 3. Foundations of dynamics 4. Relativistic simple fluids 5. Electrodynamics of polarisable fluids Appendix: Vector and dyadic notation in three dimensions Publications referred to in the text Summary and index of symbols and conventions Subject index.
43 citations
TL;DR: In this article, the results of precision electron $g$-factor experiments at low energy and at 110 keV were compared and the agreement between these measurements constitutes the most precise laboratory confirmation to date of the predictions of special relativity.
Abstract: We compare the results of precision electron $g$-factor experiments at low energy and at 110 keV. The agreement between these measurements constitutes the most precise laboratory confirmation to date of the predictions of special relativity. Relativistic electromagnetic theory and Thomas precession are verified in this test. We also consider limits on possible effects of acceleration.
38 citations
TL;DR: According to a standard view, Einstein's Special Theory of Relativity left the problem of absolute space untouched and it required the General Theory ofRelativity for its solution as discussed by the authors, which is a mistaken view.
Abstract: INTRODUCTION According to a standard view, Einstein's Special Theory of Relativity left the problem of absolute space untouched and it required the General Theory of Relativity for its solution. Einstein himself seems to have held this view. I shall argue that it is a mistaken view. I shall try to give what I take to be a correct account of the logical situation. It will turn out that Einstein, to an appreciable extent, underestimated the philosophical achievement of his Special Theory. I am quite sure that I am not alone in my heterodox position on this issue, but the standard view has gained very wide currency arid deserves to be more openly challenged than it has been in the literature.
28 citations
TL;DR: In this paper, the properties of a phase-locked cavity are investigated using special relativity and some useful formulae are derived and Compton back-scatter is explained, with tentative suggestions for the application of the principles to other phenomena.
Abstract: The properties of a phase-locked cavity are investigated using special relativity. Some useful formulae are derived and Compton back-scatter is explained. The paper concludes with tentative suggestions for the application of the principles to other phenomena.
24 citations
Journal Article•
TL;DR: In this paper, the uniqueness and local maximizing properties of maximal surfaces are discussed, including surfaces of constant mean curvature in spaces of non-vanishing matter content and with arbitrary cosmological constant.
Abstract: In earlier work we have discussed the uniqueness and local maximizing properties of maximal surfaces. We continue this study in the present paper, including surfaces of constant mean curvature in spaces of non-vanishing matter content and with arbitrary cosmological constant. The nature of the extremum is characterized by means of the eigenvalues of an elliptic differential operator defined on the surface. To illustrate the different possibilities, a universe of the Taub type with cosmological constant is constructed, and this example suggests a conjecture that the index of these surfaces is less than 2.
18 citations
TL;DR: In this article, a teaching module on special relativity is described in which priority is given to attitudinal objectives as opposed to objectives of content, and the implications of this for the methodology and the structure of the course are described.
Abstract: A teaching module on special relativity is described in which priority is given to attitudinal objectives as opposed to objectives of content. The implications of this for the methodology and the structure of the course are described. The functioning of the course material in practice is discussed together with some conclusions drawn from evaluations of the module.
16 citations
Journal Article•
TL;DR: In this paper, the authors use a special case of this kind of situation in order to exemplify the general method whereby any such paradox may be analyzed and shown to be no real contradiction.
Abstract: The apparent self‐contradictions of special relativity in thought experiments, where a body is intended to traverse a slit, do not have so simple a solution when that object is three‐dimensional as when it is an idealized one‐ or bi‐dimensional body. We use a special case of this new kind of situation in order to exemplify the general method whereby any such paradox may be analyzed and shown to be no real contradiction.
TL;DR: Gertsenshtein and Ingel as discussed by the authors considered the problem of the singular state t = 0, from which the ''big bang'' cosmic expansion commences, and whether this problem can be solved within the framework of contemporary physics or whether a new physics, for example a quan- tum theory of gravitation, must be employed.
Abstract: PROBLEM OF THE PHYSICAL SINGULARITY IN GENERAL THEORY OF RELATIVITY THE M. E. Gertsenshtein, L. Kh. Ingel', UDC523.11 and M. L. Fil'chenkov w The question of the singular state t = 0, from which the \"big bang\" cosmic expansion commences, is a very important problem of contemporary cosmogony [1]. The question arises of whether this problem can be solved within the framework of contemporary physics [2] or whether a new physics, for example, a quan- tum theory of gravitation, must be employed [3]. We will assume that such a new physics is required for den- sities p > pg, where [1, 3, 4] pg
TL;DR: In this paper, the mathematical structure and physical implications of a general four-dimensional symmetry framework which is consistent with the Poincare-Einstein principle of relativity for physical laws and with experiments are explored.
Abstract: We explore the mathematical structure and the physical implications of a general four-dimensional symmetry framework which is consistent with the Poincare—Einstein principle of relativity for physical laws and with experiments. In particular, we discuss a four-dimensional framework in which all observers in different frames use one and the same grid of clocks. The general framework includes special relativity and a recently proposed new four-dimensional symmetry with a nonuniversal light speed as two special simple cases. The connection between the properties of light propagation and the convention concerning clock systems is also discussed, and is seen to be nonunique within the four-dimensional framework.
TL;DR: In this paper, it was shown that special relativity predicts no diurnal change of the one-way velocity of light, as measured with stable clocks, initially synchronized relative to the clocks in an instantaneous inertial frame, and rotating with the earth.
Abstract: It is shown that special relativity predicts no diurnal change of the one-way velocity of light, as measured with stable clocks, initially synchronized relative to the clocks in an instantaneous inertial frame, and rotating with the earth.
TL;DR: In this paper, it is shown that the group hypothesis is not compatible with the existence of transformations containing more than one singularity, and the relevance of the first parameter group is stressed.
Abstract: It is shown that the group hypothesis is not compatible with the existence of transformations containing more than one singularity. The relevance of the first parameter group is stressed.
01 Jan 1978
TL;DR: In this article, three synchrony-free axioms which can be used to simultaneously axiomatize Special Relativity, Classical Aether Theory, and a threefold continuum of theories in between are suggested.
Abstract: After a consideration of Reichenbach's and Winnie's axiomatizations of Special Relativity, three synchrony-free axioms which can be used to simultaneously axiomatize Special Relativity, Classical Aether Theory, and a threefold continuum of theories in between are suggested. The specific theory obtained from the axioms depends on the value of a parameter in each axiom. It is shown that the values of the three parameters are empirically determined by the Michelson-Morley, Kennedy-Thorndike, and Ives-Stilwell experiments.
TL;DR: Three new topological charges are introduced into the general theory of relativity as discussed by the authors, and three new topology charges are used to describe the topology of the spacetime domain of the universe.
Abstract: Three new topological charges are introduced into the general theory of relativity.