paper

On Finslerian extension of special relativity

arXiv:2201.12279 · doi:10.1142/S0217732322501061

Abstract

We demonstrate that Robb-Geroch's definition of a relativistic interval admits a simple and fairly natural generalization leading to a Finsler extension of special relativity. Another justification for such an extension goes back to the works of Lalan and Alway and, finally, was put on a solid basis and systematically investigated by Bogoslovsky under the name "Special-relativistic theory of locally anisotropic space-time". The isometry group of this space-time, , is a deformation of the Cohen and Glashow's very special relativity symmetry group . Thus, the deformation parameter b can be regarded as an analog of the cosmological constant characterizing the deformation of the Poincare group into the de Sitter (anti-de Sitter) group. The simplicity and naturalness of Finslerian extension in the context of this article adds weight to the argument that the possibility of a nonzero value of should be carefully considered.

arXiv comment12 pages, 3 figures, version to be published in Modern Physics Letters A

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