A Field-motion tautological approach and the role of the acceleration in setting a quantization condition

TL;DR

This paper reanalyzes the fundamental electrodynamics problem of determining conditions for stable mechanical motion generated by electromagnetic fields and explores the role of acceleration in establishing quantization conditions.

Contribution

It introduces a field-motion tautological approach and investigates how acceleration influences the quantization conditions in electrodynamics.

Findings

Identifies conditions for stable electromagnetic-induced motion.

Highlights the significance of acceleration in quantization.

Provides a new perspective on electrodynamics stability.

Abstract

In this work is made a reanalysis of the central problem of electrodynamics, i.e., finding the conditions under which an electromagnetic field generates a stable mechanical motion and conversely the existence of this field itself can be consistent with that motion.