Elementary Superconductivity in Nonlinear Electrodynamics Coupled to Gravity

TL;DR

This paper explores regular rotating black hole solutions in nonlinear electrodynamics coupled to gravity, revealing superconducting interiors that could explain particle properties and fundamental length scales.

Contribution

It introduces new regular axially symmetric solutions with superconducting de Sitter interiors, linking black hole physics to particle mass and quantum phenomena.

Findings

Existence of regular charged rotating solutions with superconducting interiors.

De Sitter vacuum interior acts as a perfect conductor and diamagnetic, with superconducting currents.

Provides a model connecting black hole interiors to particle mass and quantum effects.

Abstract

Source-free equations of nonlinear electrodynamics minimally coupled to gravity admit regular axially symmetric asymptotically Kerr-Newman solutions which describe charged rotating black holes and electromagnetic spinning solitons (lumps). Asymptotic analysis of solutions shows, for both black holes and solitons, the existence of de Sitter vacuum interior which has the properties of a perfect conductor and ideal diamagnetic and displays superconducting behaviour which can be responsible for practically unlimited life time of an object. Superconducting current flows on the equatorial ring replacing the Kerr ring singularity of the Kerr-Newman geometry. Interior de Sitter vacuum supplies the electron with the finite positive electromagnetic mass related the interior de Sitter vacuum of the electroweak scale and to breaking of space-time symmetry, which allows to explain the mass-square differences for neutrino and the appearance of the minimal length scale in the annihilation reaction $e^{+}e^{-}\rightarrow\gamma\gamma(\gamma)$.