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Special relativity (alternative formulations)
About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.
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TL;DR: In this article, a non-time-orthogonality analysis of rotating disks is presented, and the results of the analysis are shown to be consistent with the special and general theories of relativity.
Abstract: This paper is a brief overview of a more extensive article recently published in Found. Phys. Lett. [2]. Apparent disagreement with experiment as well as internal inconsistencies found in the traditional analysis of relativistically rotating frames/disks are summarized. As one example, a point p at 0 degrees on the circumference of a rotating disk does not, according to the standard theory, exist at the same moment in time as the same point p at 360 degrees. This and other problems with the standard theory are completely resolved by a novel analysis that directly addresses, apparently for the first time, the non-time-orthogonal nature of rotating frames. Though ultimately consonant with the special and general theories of relativity, due to non-time-orthogonality, the analysis predicts several peculiar (i.e., not traditionally relativistic) results. For example, the local circumferential speed of light is not invariant (thereby agreeing with the Sagnac experiment), and no Lorentz contraction exists along the disk rim. Other experimental results, including time dilation, mass-energy dependence on speed, and what has heretofore been considered a \"spurious\" signal in the most accurate Michelson-Morley experiment performed to date, are accurately predicted. Further, the widely accepted postulate for the equivalence of co-moving inertial and non-inertial rods, used liberally with prior rotating frame analyses, is shown to be invalid for non-time-orthogonal frames. This understanding of the ramifications of non-time-orthogonality resolves paradoxes inherent in the traditional theory.
45 citations
TL;DR: In this paper, the definition of particle velocity in doubly special relativity theories is discussed and the general formula relating the velocity and four-momentum of the particle is given.
Abstract: We discuss the definition of particle velocity in doubly special relativity theories. The general formula relating the velocity and four-momentum of the particle is given.
45 citations
TL;DR: In this article, the relativistic Boltzmann collision operator is represented by an assortment of coordinates in which to represent the collision operator, and the equivalence between known representations and new ones is shown.
Abstract: It is often the case in mathematical analysis that solving an open problem can be facilitated by finding a new set of coordinates which may illumniate the known difficulties. In this article, we illustrate how to derive an assortment coordinates in which to represent the relativistic Boltzmann collision operator. We show the equivalence between some known representations [27, 15], and others which seem to be new. One of these representations has been used recently to solve several open problems in
[42, 41, 30, 39].
45 citations
TL;DR: Some experiments, performed at Berkeley, Cologne, Florence, Vienna, Orsay and Rennes led to the claim that something seems to travel with a group velocity larger than the speed c of light in vacuum.
Abstract: Some experiments, performed at Berkeley, Cologne, Florence, Vienna, Orsay and Rennes led to the claim that something seems to travel with a group velocity larger than the speed c of light in vacuum...
45 citations
TL;DR: The role of synchronization in special relativity and some related theories is investigated in this paper, where it is found that physical reality can be described with any value on the synchronization parameter, that there exists a preferred inertial system and that the existence of tachyons or of waves travelling with velocity ≠ c relative to this system would enable us to measure absolute velocities.
Abstract: The role of synchronization in special relativity and some related theories is investigated. It is found that physical reality can be described with any value on the synchronization parameter, that there exists a preferred inertial system and that the existence of tachyons or of waves travelling with velocity ≠ c relative to this system would enable us to measure « absolute » velocities. An asymmetry tachyonsbradyons is found.
45 citations