Finsleroids Reflect Future-Past Asymmetry of Space-Time

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1016/S0034-4877(01)80047-1

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 $T-$parity, so that the future-past asymmetry of the physical world can stem from the $T-$asymmetry of the Finslerian indicatrix. Indeed the idea should compel much attention of physicists.

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