The Dirac -- Kerr-Newman electron

TL;DR

This paper integrates the Dirac equation into the Kerr-Newman geometry framework, revealing an extended space-time structure for the electron that links quantum wave functions with gravitational and electromagnetic fields.

Contribution

It demonstrates how the Dirac equation can be incorporated into Kerr-Schild formalism, connecting quantum wave functions with classical gravitational and electromagnetic geometries.

Findings

The Dirac electron has an extended Kerr-Newman space-time structure.

The Dirac wave function acts as an order parameter controlling space-time polarization.

In weak fields, the system's behavior matches that of a standard Dirac electron.

Abstract

We discuss the relation of the Kerr-Newman spinning particle to the Dirac electron and show that the Dirac equation may naturally be incorporated into 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 - singular ring of the Compton size and twistorial polarization of the gravitational and electromagnetic fields. Behavior of this Dirac -- Kerr-Newman system in the weak and slowly changed 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 dynamics, spin-polarization and twistorial structure of space-time.