Free particle gauge invariance of the Maxwell equations

TL;DR

This paper explores the gauge invariance of Maxwell's equations and their connection to Dirac's equation, questioning the classical-quantum boundary and suggesting potential experimental implications.

Contribution

It demonstrates the physical relevance of deriving Dirac's equation from Maxwell's equations and investigates gauge operations at the electron level.

Findings

Maxwell's equations can be related to Dirac's equation under certain conditions

Gauge operations at the electron level may influence larger physical phenomena

The study challenges traditional distinctions between classical and quantum physics

Abstract

In a previous study it was demonstrated that Dirac's relativistic quantum equation for free electrons (DRQM)can be obtained from Maxwell's classical electromagnetic field equations (MaxEq). This raises fundamental issues about the demarcation between the classical and quantum domain and about spin. In the present study it is assumed, however, that the derivation is physically relevant to cases where it is difficult to distinguish between classical and quantum physics. The possibility of operating gauges on electron level is studied in view of the effect on the larger physical scale which provides a means to give experimental support to the presented pre-1900 history challenge.