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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: This article argued that special relativity is neither paradoxical nor correct (in the absolute sense of the nineteenth century) but the most natural and expected description of the real space-time around us valid for all practical purposes.
Abstract: Special relativity is no longer a new revolutionary theory but a firmly established cornerstone of modern physics. The teaching of special relativity, however, still follows its presentation as it unfolded historically, trying to convince the audience of this teaching that Newtonian physics is natural but incorrect and special relativity is its paradoxical but correct amendment. I argue in this article in favor of logical instead of historical trend in teaching of relativity and that special relativity is neither paradoxical nor correct (in the absolute sense of the nineteenth century) but the most natural and expected description of the real space-time around us valid for all practical purposes. This last circumstance constitutes a profound mystery of modern physics better known as the cosmological constant problem.
12 citations
12 citations
TL;DR: The social roots of the theory of relativity are discussed in this paper, where the authors propose a model of the social relation between humans and the universe in the context of science and technology.
Abstract: (1971). The social roots of Einstein's theory of relativity. Annals of Science: Vol. 27, No. 4, pp. 313-344.
12 citations
12 citations
TL;DR: In this paper, the persistence problem of shock fronts in perfect fluids is also a continuation problem for a pseudo-Riemannian metric of reduced regularity, which is solved by considerations on a Cauchy problem which combines a well-known formulation of the Einstein-Euler equations as a first-order symmetric hyperbolic system and Rankine-Hugoniot-type jump conditions for the fluid variables with an extra (non-) jump condition for the first derivatives of the metric.
Abstract: For general relativity, the persistence problem of shock fronts in perfect fluids is also a continuation problem for a pseudo-Riemannian metric of reduced regularity. In this paper, the problem is solved by considerations on a Cauchy problem which combines a well-known formulation of the Einstein–Euler equations as a first-order symmetric hyperbolic system and Rankine–Hugoniot-type jump conditions for the fluid variables with an extra (non-)jump condition for the first derivatives of the metric. This ansatz corresponds to the use of space-time coordinates which are natural in the sense of Israel and harmonic at the same time. As in non-relativistic settings, the shock front must satisfy a Kreiss–Lopatinski condition in order for the persistence result to apply. The paper also shows that under standard assumptions on the fluid's equation of state, this condition actually holds for all meaningful shock data.
11 citations