Elementary Superconductivity in Nonlinear Electrodynamics Coupled to Gravity

Irina Dymnikova

doi:10.1155/2015/904171

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 lifetime of the electron. 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 to the interior de Sitter vacuum of the electroweak scale and to breaking of space-time symmetry, which allows explaining the mass-square differences for neutrino and the appearance of the minimal length scale in the annihilation reaction e+e-→γγ(γ).

Highlights

Quantum electrodynamics applies the point-like idealization for leptons, which well describes in- and out-states of particles at the distances sufficiently large as compared with their eventual sizes
In nonlinear electrodynamics coupled to gravity (NED-GR) regular spherical solutions the weak energy condition is always satisfied and de Sitter vacuum provides a proper cut-off on self-interaction divergent for a point charge [26, 32]
We have de Sitter vacuum core, p = −ρ, with the properties of a perfect conductor and ideal diamagnetic and magnetic fields vanishing throughout the whole core, and the weak energy condition is satisfied for regular rotating charged black holes and solitons

Summary

Introduction

Quantum electrodynamics applies the point-like idealization for leptons, which well describes in- and out-states of particles at the distances sufficiently large as compared with their eventual sizes. Nonlinear electrodynamics was proposed by Born and Infeld as founded on two basic points: to consider electromagnetic field and particles within the frame of one physical entity which is electromagnetic field; to avoid letting physical quantities become infinite [25] In their theory a total energy is finite and particles are considered as singularities of the field, but it is possible to obtain the finite electron radius by introducing an upper limit on the electric field [25]. In NED-GR regular spherical solutions the weak energy condition is always satisfied and de Sitter vacuum provides a proper cut-off on self-interaction divergent for a point charge [26, 32]. We outline the generic properties of regular rotating charged black holes and solitons

Basic Equations

Geometry

Electromagnetic Fields

Interior Dynamics and Elementary Superconductivity

Summary and Discussion