Gravity vs. Quantum theory: Is electron really pointlike?

TL;DR

This paper explores the electron's structure through Kerr-Newman gravity, suggesting it has a string-like core near the Compton wavelength, challenging the pointlike assumption of quantum theory and linking gravity with string theory.

Contribution

It proposes a gravitational model of the electron with a Kerr-Newman geometry, revealing a string-like structure at the Compton scale that contradicts the pointlike electron assumption.

Findings

Electron modeled as Kerr-Newman black hole without horizon.

Electron's gravitational field concentrated near a Kerr ring, forming a string-like structure.

Predicted observable effects in high-energy scattering experiments.

Abstract

The observable gravitational and electromagnetic parameters of an electron: mass $m$, spin $J=\hbar/2$, charge $e$ and magnetic moment $ea = e\hbar /(2m)$ indicate unambiguously that the electron should had the Kerr-Newman background geometry -- exact solution of the Einstein-Maxwell gravity for a charged and rotating black hole. Contrary to the widespread opinion that gravity plays essential role only on the Planck scales, the Kerr-Newman gravity displays a new dimensional parameter $a =\hbar/(2m),$ which for parameters of an electron corresponds to the Compton wavelength and turns out to be very far from the Planck scale. Extremely large spin of the electron with respect to its mass produces the Kerr geometry without horizon, which displays very essential topological changes at the Compton distance resulting in a two-fold structure of the electron background. The corresponding gravitational and electromagnetic fields of the electron are concentrated near the Kerr ring, forming a sort of a closed string, structure of which is close to the described by Sen heterotic string. The indicated by Gravity stringlike structure of the electron contradicts to the statements of Quantum theory that electron is pointlike and structureless. However, it confirms the peculiar role of the Compton zone of the "dressed" electron and matches with the known limit of the localization of the Dirac electron. We discuss the relation of the Kerr string with the low energy string theory and with the Dirac theory of electron and suggest that the predicted by the Kerr-Newman gravity closed string in the core of the electron, should be experimentally observable by the novel regime of the high energy scattering -- the Deeply Virtual (or "nonforward")Compton Scattering".