Finsleroids Reflect Future-Past Asymmetry of Space-Time

TL;DR

This paper introduces a Finslerian extension of space-time metrics that inherently exhibits future-past asymmetry, potentially explaining the observed T-parity violation in physics.

Contribution

It proposes a new Finslerian framework for space-time that naturally incorporates future-past asymmetry, extending the pseudo-Euclidean metric under rigorous conditions.

Findings

Finslerian indicatrix can violate T-parity

The extension models future-past asymmetry in space-time

Potential implications for understanding T-parity violation in physics

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.