The Dirac-Kerr-Newman electron

Abstract

We discuss the relation between the Kerr-Newman spinning particle and the Dirac electron and show that the Dirac equation may be naturally incorporated into the Kerr-Schild formalism as a master equation controlling the Kerr-Newman geometry. As a result, the Dirac electron acquires an extended space-time structure of the Kerr-Newman geometry: a singular ring of Compton size and a twistorial polarization of the gravitational and electromagnetic fields. The behavior of this Dirac-Kerr-Newman system in weak and slowly changing electromagnetic fields is determined by the wave function of the Dirac equation and is indistinguishable from the behavior of the Dirac electron. The wave function of the Dirac equation plays, in this model, the role of an “order parameter” which controls the dynamics, spin polarization and the twistorial structure of space-time.