Moving system with speeded-up evolution

TL;DR

This paper explores a relativistic quantum theory scenario where a moving unstable system exhibits a speeded-up evolution, contrasting with classical time dilation, and discusses the paradoxical implications of this finding.

Contribution

It introduces a relativistic quantum model showing that certain moving unstable systems can evolve faster, challenging traditional views of time dilation.

Findings

Moving systems can exhibit speeded-up evolution under relativistic quantum conditions.

The paradoxical result contrasts with classical Einstein dilation.

Discussion of implications for relativistic quantum theory.

Abstract

In the classical (non-quantum) relativity theory the course of the moving clock is dilated as compared to the course of the clock at rest (the Einstein dilation). Any unstable system may be regarded as a clock. The time evolution (e.g., the decay) of a uniformly moving physical system is considered using the relativistic quantum theory. The example of a moving system is given whose evolution turns out to be speeded-up instead of being dilated. A discussion of this paradoxical result is presented.