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Finsleroids Reflect Future-Past Asymmetry of Space-Time

Mathematical Physics 2009-10-31 v1 Differential Geometry math.MP

Abstract

The Finslerian extension of the Euclidean metric is proposed and studied under rigorous conditions that the associated indicatrix is regular and convex. The relativistic pseudo-Euclidean metric is extended, too. The extensions show distinct violation of the TT-parity, so that the future-past asymmetry of the physical world can stem from the TT-asymmetry of the Finslerian indicatrix. Indeed the idea should compel much attention of physicists.

Keywords

Cite

@article{arxiv.math-ph/0012028,
  title  = {Finsleroids Reflect Future-Past Asymmetry of Space-Time},
  author = {G. S. Asanov},
  journal= {arXiv preprint arXiv:math-ph/0012028},
  year   = {2009}
}