Electron internal energy and internal motion (Zitterbewegung) as consequence of local U(1) gauge invariance in two-spinor language

TL;DR

This paper demonstrates that electron internal energy and Zitterbewegung can be derived from local U(1) gauge invariance in a two-spinor framework, suggesting a kinematic origin of mass and helicity.

Contribution

It introduces a novel interpretation of Zitterbewegung as internal motion arising from gauge invariance, differing from traditional quantum mechanical explanations.

Findings

Zitterbewegung appears as internal motion at light speed.

Internal dynamics suggest a kinematic origin of electron mass.

Gauge freedom relates to electron spin and helicity.

Abstract

Starting with the results obtained in a previous paper in which classical local U(1) gauge invariance in terms of the electromagnetic field strenghts instead of the usual formulation mediated by the four potential was introduced it is shown that using the gauge freedom associated with the third component of the magnetic field, previously obtained spinor equations of motion describe the internal dynamics of a free 1/2 spin particle suggesting a kinematic origin of its rest mass and helicity. The controversial Zitterbewegung (trembling motion) appears in a natural way as internal motion with the velocity of light. Such an interpretation is in contrast with the usual quantum mechanical explanation of transitions between positive and negative energy states.