On the existence of natural self-oscillation of a free electron

TL;DR

This paper explores the theoretical possibility that a free electron can naturally oscillate by interacting with its own electromagnetic fields, proposing conditions under which such self-oscillation could occur.

Contribution

It introduces a theoretical framework for natural self-oscillation of free electrons based on electromagnetic self-interaction and standing wave solutions.

Findings

Conditions for self-oscillation are derived.

Electromagnetic energy exchange mechanisms are analyzed.

Standing wave solutions are identified as key to self-oscillation.

Abstract

The possibility of the existence of natural self-oscillation of a free electron is suggested. This oscillation depends on the interaction of the electron with its own electromagnetic fields. Suitable standing wave solutions of the electromagnetic fields are chosen. A kind of displacement dependent electric potential and mechanism of energy exchange between velocity and acceleration dependent electromagnetic fields are analyzed. Conditions for the existence of natural self-oscillation are given.