Kerr geometry beyond the Quantum theory

TL;DR

This paper explores how Kerr geometry, with its strong topological and non-local effects, might underlie quantum theory, suggesting a hidden classical structure behind the Dirac electron and quantum electrodynamics.

Contribution

It proposes a connection between Kerr geometry and quantum theory, indicating that the electron's properties may be influenced by complex, stringy Kerr structures beyond standard quantum descriptions.

Findings

Kerr-Newman solution affects electron-scale space-time

Foldi-Wouthuysen operator relates to Kerr geometry

Kerr geometry may be hidden behind Dirac theory

Abstract

The Dirac electron theory and QED do not take into account gravitational field, while the corresponding Kerr-Newman solution with parameters of electron has very strong stringy, topological and non-local action on the Compton distances, polarizing space-time and deforming the Coulomb field. We discuss the relation of the electron to the Kerr's microgeon model and argue that the Kerr geometry may be hidden beyond the Quantum Theory. In particular, we show that the Foldi-Wouthuysen `mean-position' operator of the Dirac electron is related to a complex representation of the Kerr geometry, and to a complex stringy source. Therefore, the complex Kerr geometry may be hidden beyond the Dirac equation.