Displacement induced electric force and natural self-oscillation of a free electron

TL;DR

This paper derives a displacement-dependent electric force on a single charge using Maxwell stress analysis and proposes that this force could cause natural self-oscillation of a free electron.

Contribution

It introduces a novel displacement-induced electric force derived from Maxwell stress analysis and suggests its role in electron self-oscillation.

Findings

Displacement-induced electric force can be derived from Maxwell stress analysis.

This force acts as a restoring force related to charge displacement.

Potential for natural self-oscillation of free electrons driven by their own electric fields.

Abstract

We show that a kind of displacement induced temporary electric force of a single point charge can be derived by using Maxwell stress analysis. This force comes from the variation of the charge's electric intensities that follow Coulomb's inverse square law, and it is a kind of displacement dependent temporary restoring force. We also show the possible existence of natural self-oscillation of a free electron which is driven by this restoring self-force of its own electric fields.