Electrodynamics of accelerated charges or Why electron does not radiate in Rutherford's atom

TL;DR

This paper addresses the contradiction between classical electrodynamics and the principle of equivalence, proposing modifications to explain atomic stability without violating conservation laws.

Contribution

It introduces a conformal modification to electrodynamics that resolves conflicts with the principle of equivalence and explains Rutherford's atom stability.

Findings

Electrodynamics conflicts with the principle of equivalence when describing accelerated charges.

Modifications to electrodynamics remove violations of conservation laws.

The proposed theory aligns with experimental results.

Abstract

It is shown, that the radiation of the charge, moving with uniform acceleration or uniformly moving round a circle and also freely moving in a gravitational field, contradicts the principle of equivalence. It is also shown, that the interaction of the charges, moving with uniform acceleration or uniformly circling, which has been calculated within the framework of classical electrodynamics, leads to the violation of laws of conservation of energy, impulse and angular momentum. We have offered a method in which way to conform electrodynamics to the principle of equivalence. So in the electrodynamics, which has been conformed in such a way, all the mentioned violations of the laws of conservation are automatically removed and the stability of Rutherford's atom is explained. It is shown that the changes, which we have brought into the electrodynamics, do not contradict the results of experiments.