Finsleroids Reflect Future-Past Asymmetry of Space-Time

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 $T-$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.

References in corpus (2)

• Comments on Neutrino Tests of Special Relativity
• Can Neutrinos and High-Energy Particles Test Finsler Metric of Space-Time?

Cited by in corpus (3)

• Finslerian Isospin--Nonlinear Equations for Pion and Spinor Interactions
• Finsleroid--Relativistic Time--Asymmetric Space and Quantized Fields
• Hypercomplex Numbers, Associated Metric Spaces, and Extension of Relativistic Hyperboloid