Can a charged decaying particle serve as an ideal clock in the presence of the magnetic field?

TL;DR

This paper examines whether a charged particle's decay rate in a magnetic field can serve as an ideal clock, finding that acceleration effects are negligible at realistic levels, thus supporting the ideal clock hypothesis.

Contribution

It demonstrates that the decay-based clock remains valid under typical accelerations, with deviations only appearing at extremely high accelerations.

Findings

Time measurement depends on acceleration.

Deviations are negligible at realistic accelerations.

Supports the validity of decay-based clocks in practical scenarios.

Abstract

We investigate a model of a supposedly ideal clock based on the decay rate of a charged particle in circular motion in a constant magnetic field. We show that the time measured by an ideal clock depends on the acceleration. However, the effect becomes visible at an order of magnitude of 10^{28} g, therefore confirming the validity of the ideal clock hyphotesis for realistic accelerations.