Energy loss by the arbitrary moving charged particle in classical electrodynamics

TL;DR

This paper calculates the electromagnetic energy flow from an arbitrarily moving charged particle, revealing that radiated energy is frame-dependent and challenging common calculation methods in classical electrodynamics.

Contribution

It provides a new formula for electromagnetic energy flow from moving charges and highlights the non-invariance of radiated energy, impacting radiation calculations.

Findings

Energy flow depends on the particle’s motion and frame of reference.

Standard frame-change methods are invalid for energy radiation calculations.

Results apply to hyperbolic motion and synchrotron radiation scenarios.

Abstract

The energy-impulse flow of electromagnetic field, produced by the arbitrary moving charged particle, through the sphere of large radius is calculated. The result formulae are used in problem of radiation produced by hyperbolically moving particle and the problem of the synchrotron radiation energy loss. The energy-impulse radiated by a moving charged particle is shown to be not an invariant 4-tensor, for this reason calculation methods based on change of reference frame are not correct.