Showing papers on "Special relativity (alternative formulations) published in 1983"
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01 Jan 1983
TL;DR: The geometry of general relativity is riemannian what is as discussed by the authors, which is the same as the geometry of spacetime and geometry of the fourth dimension of the theory of relativity.
Abstract: General relativity university of pittsburgh. the geometry of special relativity. relativity and geometry dover books on physics roberto. geometry relativity and the fourth dimension rudolf v. spacetime and geometry sean carroll. einstein s theory of relativity. the geometry of general relativity is riemannian what is. general relativity simple english the free. lecture 37 riemannian geometry and the general relativity. quantum mechanics relativity geometry and the unity of. special relativity and conic sections hyperbolic. euler s formula geometry of relativity. general relativity spacetime and geometry. elementary general relativity. geometry and general relativity science4all. semi riemann geometry and general relativity. general relativity. the geometry of relativity geometry of relativity. mathematics of general relativity. geometry of space and relativity molwickpedia
238 citations
TL;DR: The Mansouri-Sexl and Sjodin point of view on clock synchronization in special relativity is maintained against various criticisms, taking into account also the recent view of stochastic electrodynamics as mentioned in this paper.
Abstract: The Mansouri-Sexl and Sjodin point of view on clock synchronization in special relativity is maintained against various criticisms, taking into account also the recent point of view of stochastic electrodynamics. Light speed invariance is also discussed in an intuitive way.
25 citations
21 citations
20 citations
TL;DR: In this article, it was shown that the characteristics of classical tachyons are similar to those of the ordinary (slower-than-light)quantum particles, i.e., a realistic tachyon is associated with a phase speed V [V2 > c2], but with a group speed V = c2/V v2 < c2].
Abstract: After having studied the shape that a tachyon T(e.g., intrinsically spherical) would take up, we show in an explicit example that the characteristics ofclassical tachyons are similar to those of the ordinary (slower-than-light)quantum particles. In particular, a realistic tachyon is associated with a « phase speed »V [V2 > c2], but with a « group speed »v = c2/V v2 < c2].
16 citations
TL;DR: In this paper, the development of two connected strands of thought, associated respectively with Maxwell and Poincare, are disentangled, so as to throw light on several questions connected with the special theory of relativity.
Abstract: In this paper we try to disentangle the development of two connected strands of thought, associated respectively with Maxwell and Poincare, so as to throw light on several questions connected with the special theory of relativity. For example, who first used the word 'relativity' in physics in the sense we understand it today, meaning: in all physical experiments, whether mechanical or electromagnetic, only the relative velocity of a body can be measured, i.e. the notion of velocity of a body as such is a concept without physical importance? Which was the earliest experiment undertaken to determine the absolute motion of the earth through the hypothetical ether or space, if such putative motion had a physical consequence at all, and by whom ? In short, what exactly were the contributions of various physicists before the publication of Einstein's monumental contribution of 26 September 1905 submitted for publication to Annalen der Physik on 30 June 1905? While we were writing this paper, our attention was drawn to the highly illuminating discussion given by Miller [1981]. We have been able to use Miller's discussion to improve the paper; but his objective is not the same as ours.
15 citations
01 Jan 1983
TL;DR: The Dirac equation for the electron was the greatest common achievement of quantum theory and special relativity as discussed by the authors, and its established domain, ranging from spectroscopy to the later developments of quantum electrodynamics, seems incontestable.
Abstract: Dirac’s equation for the electron was—and perhaps still is—the greatest common achievement of quantum theory and special relativity. Its established domain, ranging from spectroscopy to the later developments of quantum electrodynamics, seems incontestable.
10 citations
TL;DR: In this article, the authors investigated the physical systems which can be associated with the standard clocks and standard rulers of the theory of relativity and showed that the standard clock is uniquely determined as being a light ruler.
Abstract: We investigate the physical systems which can be associated with the standard clocks and standard rulers of the theory of relativity. We show that, once the standard clock has been identified, the standard ruler is uniquely determined as being a «light ruler». We then investigate under what conditions material rods can be used as standard rulers. This shows the existence of two distinct contractions in the theory that are often confused: the Einstein and the Lorentz contractions. We argue that the Lorentz contraction is a real phenomenon which results as a consequence of the interaction of material bodies with the ground-state vacuum of the Universe. These results permit us to give a definitive answer to the question «do metric standards contract?» and also to solve Ehrenfest’s paradox in an almost trivial way.
8 citations
5 citations
TL;DR: In this paper, the equations of motion in general relativity using a fast motion approach are worked out explicitly to second order to derive the derivation from first principles with the assumptions made, and the application of these equations to small-angle scattering is given.
Abstract: The equations of motion in general relativity using a 'fast motion approach' are worked out explicitly to second order. The derivation from first principles with the assumptions made is given. The application of these equations to small-angle scattering will be given in a later paper.
TL;DR: In this paper, the canonical treatment of general relativity in a vierbein formulation was discussed, and the primary constraints were derived from an algebra the same as that of the generators of local Poincare transformations.
Abstract: Discusses the canonical treatment of general relativity in a vierbein formulation. The authors derive the primary constraints, and find that they satisfy an algebra the same as that of the generators of local Poincare transformations, namely the Poincare algebra.
01 Jan 1983
TL;DR: In this paper, the authors proposed that the conservation law of energy-momentum in general relativity and special relativity must be determined by one and the same Lie group using the Nether theorem.
Abstract: From the standpoint that the conservation laws with the same physical meaning in general relativity and special relativity must be determined by one and the same Lie group, using the Nether theorem, we have proposed that the conservation law of energy-momentum in genera] relativity should be de(?)ived from the generalized translational transformationx~(μ')=x~μ+λ_(?)~u b_0where λ_a)~u is the vierbein. By using the invarianec of this transformation, a satisfactory expression of energy-momentum tensor of gravitational field has been obtained. The reasonableness of this conservation law has been discussed according to the covariant property of the energy-momentum tensor, the total energy of static system and the gravitational radiation problems.
TL;DR: In this article, a parametrization of the n-dimensional complex rotation group O(n, C) by a set of (1/2)n(n−1) complex Euler angles is obtained in exactly the same way as that for the n−dimensional real rotation groups O+(n, R).
Abstract: A parametrization of the n‐dimensional complex rotation group O+(n, C) by a set of (1/2)n(n−1) complex Euler angles is obtained in exactly the same way as that for the n‐dimensional real rotation group O+(n, R). Certain subgroups L(n, r) of O+(n, C) are then considered and found isomorphic with the ‘‘generalized Lorentz groups’’ L(n, r), of which the special case L(4, 1) is the usual Lorentz group L of special relativity. Distinguishing features, in the form of reality nature, of Euler angles of L(n, r) are obtained for r=1, 2, and it is proved that these lead naturally to the definition of ‘‘real’’ Euler angles of the corresponding L(n, r), which, of course, include the Lorentz group L.
TL;DR: In this paper, the importance of the inertial frames as a privileged set for reconciling transit times of signals traversing closed curves in opposite senses has been emphasized for the purpose of avoiding subtleties in the concept of simultaneity.
Abstract: Some subtleties in the concept of simultaneity are avoided with a presentation of relativity which emphasizes the importance of the inertial frames as a privileged set for reconciling transit times of signals traversing closed curves in opposite senses.
01 Jan 1983
TL;DR: In this article, the problem of finding solutions of the Einstein equations in vacuum is considered, where R~ 8 is the Rieci tensor of a four-dimensional pseudo-Riemanniun space, and g~p the corresponding metric.
Abstract: where R~ 8 is the Rieci tensor of a four-dimensionaI pseudo-Riemanniun space, and g~p the corresponding metric. We are thus concerned with finding solutions of the Einstein equations in vacuum. This represents a formidable task in the general case, and as a consequence the situations to be considered are usually special, either in the algebraic or in the isometric sense. In particular, much work has been done in recent years on solutions which possess two commuting Killing fields. Two coordinates will be ignorable, and the problem reduces to the integration of a set of partial differential equations in the two remaining variables. Such a set may be cast in a very elegant form, either as a single equation for a complex field [1] or, alternatively, as an equation for a three-vector of constant length [2]. There is, in addition, another set of equations for a single scalar function; but this second set is compatible and formally integrable, provided the equations in the first set are satisfied, and may thus be considered as subsidiary.
TL;DR: In this paper, the authors defend the opinion that Cavalleri and Spinelli are still very far from an adequte understanding and interpretation of physical reality, and defend the view that they are still in the saddle of the relativistic dogmas.
Abstract: I defend the opinion that Cavalleri and Spinelli, who in the last years abandoned many of the relativity dogmas and embraced many of the absolute conceptions, are still very far from an adequte understanding and interpretation of physical reality.
TL;DR: In this article, the author's recent alternative explantation of the apparent time dilation evidenced by meson lifetimes suggests that the dilation of life-time observed should be lower than that indicated by special relativity if the tests are made at low energies.
Abstract: Predictions from the author's recent alternative explantation of the apparent time dilation evidenced by meson lifetimes suggest that the dilation of life-time observed should be lower than that indicated by special relativity if the tests are made at low eneough energies. Reported experimental data supporting this proposition are discussed.
TL;DR: In this article, the positions of the points on a rolling ring are calculated at retarded points of time, giving the "optical appearance" of the rolling ring, which is similar to ours.
Abstract: The positions of the points on a rolling ring are calculated at retarded points of time, giving the “optical appearance” of a rolling ring.
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TL;DR: In this article, a new interpretation of the electromagnetic theory of light is proposed, namely that the ambient Coulomb field is the medium (Maxwell's ether) of electromagnetic radiation fields.
Abstract: A new interpretation of Maxwell’s electromagnetic theory of light is proposed, namely that the ambient Coulomb field is the medium (Maxwell’s ether) of the electromagnetic radiation fields (Maxwellian waves). This investigation implies an incompleteness of the experimental foundations of the principle of special relativity, and suggests how this principle could be tested more fully. The beginning of an attempt to shape this re-interpretation in the form of an alternative theory is outlined.
TL;DR: In this article, Cavalleri and Spinelli attempt to find a unique ether frame by using a new method, and certain problems of synchronization raised by them are discussed and clarified; however, they are unable to find the unique frame.
Abstract: G. Cavalleri and G. Spinelli believe that a unique ether frame exists, and they attempt to find this ether frame by using a new method. Certain problems of synchronization raised by them are discussed and clarified.
TL;DR: Cavalleri and Spinelli have criticized previous work, connected with synchronization procedures, by the present author as mentioned in this paper, and they have discussed their criticisms in detail in the reply of this article.
Abstract: Cavalleri and Spinelli have criticized previous work, connected with synchronization procedures, by the present author. This reply discusses their criticisms.