Free particle gauge invariance of the Maxwell equations

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.