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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 paper, a comparison of kinematical test theories for special Relativity including the Robertson and Mansouri-Sext test theories is presented and the accuracy of the experimental results testing Special Relativity are expressed in terms of the parameters appearing in these test theories.
Abstract: A comparison of certain kinematical test theories for Special Relativity including the Robertson and Mansouri–Sext test theories is presented and the accuracy of the experimental results testing Special Relativity are expressed in terms of the parameters appearing in these test theories. The theoretical results are applied to the most precise experimental results obtained recently for the isotropy of light propagation and the constancy of the speed of light.
21 citations
21 citations
TL;DR: The vierbein field can indeed be seen as a gauge field consisting of the Yang-Mills fields associated with both the Lorentz and the translational symmetry.
Abstract: The gauge character of the vierbein field is investigated by introducing the Yang-Mills fields associated with the de Sitter gauge group and by contracting the de Sitter group to the Poincar\'e group. The vierbein field can indeed be seen as a gauge field consisting of the Yang-Mills fields associated with both the Lorentz and the translational symmetry. The local Lorentz invariance is found essential to deduce Einstein's theory of general relativity.
21 citations
TL;DR: In this article, a generalization in the complex plane of the addition law of parallel velocities is presented, which directly provides phase factors such as the Wigner angle in special relativity and is related to the composition of 2×2 S-matrices.
Abstract: Many results that are difficult can be found more easily by using a generalization in the complex plane of Einstein’s addition law of parallel velocities. Such a generalization is a natural way to add quantities that are limited to bounded values. We show how this generalization directly provides phase factors such as the Wigner angle in special relativity and how this generalization is related in the simplest case to the composition of 2×2 S-matrices.
21 citations
TL;DR: In this article, the authors analyze the Fantappie group and its properties in connection with Cantorian space-time, focusing on the possibility of extending special relativity and the cosmological consequences of such extension appear relevant, since the model of the Big Bang and that of stationary state become compatible.
Abstract: In this paper, we will analyze the Fantappie group and its properties in connection with Cantorian space–time. Our attention will be focused on the possibility of extending special relativity. The cosmological consequences of such extension appear relevant, since thanks to the Fantappie group, the model of the Big Bang and that of stationary state become compatible. In particular, if we abandon the idea of the existence of only one time gauge, since we do not see the whole Universe but only a projection, the two models become compatible. In the end we will see the effects of the projective fractal geometry also on the galactic and extra-galactic dynamics.
21 citations