Topic
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 paper, the Lorentz transformation is reformulated as a symmetry property of space-time: spacetime exchange invariance, and the additional hypothesis of spatial homogeneity is then sufficient to derive the LRT without reference to the traditional form of the Principle of Special Relativity.
Abstract: Special relativity is reformulated as a symmetry property of space-time: space-time exchange invariance. The additional hypothesis of spatial homogeneity is then sufficient to derive the Lorentz transformation without reference to the traditional form of the Principle of Special Relativity. The kinematical version of the latter is shown to be a consequence of the Lorentz transformation. As a dynamical application, the laws of electrodynamics and magnetodynamics are derived from those of electrostatics and magnetostatics respectively. The four-vector nature of the electromagnetic potential plays a crucial role in the last two derivations.
20 citations
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01 Jan 1967
20 citations
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TL;DR: In this paper, the notion of a fundamentally minimal length scale in asymptotically safe gravity was studied and a specific version of deformed special relativity (DSR) naturally arises in this approach.
Abstract: By studying the notion of a fundamentally minimal length scale in asymptotically safe gravity we find that a specific version of deformed special relativity (DSR) naturally arises in this approach. We then consider two thought experiments to examine the interpretation of the scenario and discuss similarities and differences to other approaches to DSR.
20 citations
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TL;DR: This paper proposed a new special relativity theory, called Complete Relativity theory (CR) that is anchored in Galileo's relativity, without the notion of a preferred frame, which yields natural definitions of dark energy and dark matter and predicts the content of the universe with high accuracy.
Abstract: Dark energy and dark matter constitute about 95% of the Universe. Nonetheless, not much is known about them. Existing theories, including General Relativity, fail to provide plausible definitions of the two entities, or to predict their amounts in the Universe. The present paper proposes a new special relativity theory, called Complete Relativity theory (CR) that is anchored in Galileo’s relativity, but without the notion of a preferred frame. The theory results are consistent with Newtonian and Quantum mechanics. More importantly, the theory yields natural definitions of dark energy and dark matter and predicts the content of the Universe with high accuracy.
20 citations
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TL;DR: In this article, the authors present an explicit Lorentz matrix proof of sufficient conciseness to show that the much-vaunted complexity of the direct approach has been considerably overstated.
Abstract: The composition of two pure Lorentz transformations (boosts) parametrized by non-parallel velocities is equivalent to a boost combined with a pure spatial rotation - the Thomas rotation. Thirty years elapsed from Thomas's 1926 calculation for the precessional application until an explicit result for the Thomas rotation angle appropriate to two finite boost velocities appeared in the literature. Over the years there have been a number of papers that have produced results by various methods for the Thomas rotation angle but none by direct Lorentz matrix methods. This paper repairs that deficiency by presentation of an explicit Lorentz matrix proof of sufficient conciseness to show that the much-vaunted complexity of the direct approach has been considerably overstated. The demonstration fills a gap at a fundamental level in the development of the basics of special relativity.
20 citations