Finsleroids Reflect Future-Past Asymmetry of Space-Time
  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. 
G.S.Asanov