Kerr Geometry as Space-Time Structure of the Dirac Electron

TL;DR

This paper proposes a model where the electron's structure is described by Kerr geometry, integrating it with the Dirac equation to explain polarization and potential observable features at the Compton scale.

Contribution

It introduces a combined Dirac-Kerr model that links electron polarization with Kerr geometry, suggesting a new extended space-time structure for electrons.

Findings

Electron modeled as Kerr geometry with a spinning disk and singular string

Dirac equation controls polarization of Kerr congruence

Potential observation of Compton-scale structure in polarized electrons

Abstract

The combined Dirac-Kerr model of electron is suggested, in which electron has extended space-time structure of Kerr geometry, and the Dirac equation plays the role of a master equation controlling polarization of the Kerr congruence. The source contains a spinning disk bounded by a closed singular string of Compton size. It is conjectured that this Compton structure may be observed for polarized electrons under a very soft coherent scattering.