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

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 1028 g, therefore confirming the validity of the ideal clock hyphotesis for realistic accelerations.

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