Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity

Abstract

We present a systematic review of the basic features that were adopted for different electron models and show, in a brief overview, that, for electromagnetic spinning solitons in nonlinear electrodynamics minimally coupled to gravity (NED-GR), all of these features follow directly from NED-GR dynamical equations as model-independent generic features. Regular spherically symmetric solutions of NED-GR equations that describe electrically charged objects have obligatory de Sitter center due to the algebraic structure of stress–energy tensors for electromagnetic fields. By the Gürses-Gürsey formalism, which includes the Newman–Janis algorithm, they are transformed to axially symmetric solutions that describe regular spinning objects asymptotically Kerr–Newman for a distant observer, with the gyromagnetic ratio g=2. Their masses are determined by the electromagnetic density, related to the interior de Sitter vacuum and to the breaking of spacetime symmetry from the de Sitter group. De Sitter center transforms to the de Sitter vacuum disk, which has properties of a perfect conductor and ideal diamagnetic. The ring singularity of the Kerr–Newman geometry is replaced with the superconducting current, which serves as the non-dissipative source for exterior fields and source of the intrinsic magnetic momentum for any electrically charged spinning NED-GR object. Electromagnetic spinning soliton with the electron parameters can shed some light on appearance of a minimal length scale in the annihilation reaction e+e−→γγ(γ).

Is the Non-Pointness of the Electron Observable in e+e− Annihilation at Center-of-Mass Energies 55–207 GeV?

“…The numerical coincidence observed between the calculations in Refs. [65,148,153,154] and the experimental results suggests a potential manifestation of the non-point nature of the electron within the frameworks of studies in Refs. [65,148,153,154].…”

“…If one considers the question of whether the non-pointness of the electron is observed in the annihilation reaction, a speculative approach can be taken using a model suggested in Refs. [65,148] based on the superconducting cores [149][150][151][152]. The model proposes an electromagnetic spinning soliton for the electron, accompanied by a de Sitter vacuum disk that generates electric and magnetic fields.…”

“…With these intriguing findings, we can tantalizingly speculate that the humble electron is not just a trivial point particle, but rather a complex entity with both an outer shell and an inner core. Could it be that two attributes are combined in this particle, as some theories have suggested [65]? The possibilities are truly fascinating and open up new avenues for further exploration and discoveries in the field of particle physics.…”

“…Recently, this solution has been used in Ref. [65] to propose a model that considers the interplay between electrodynamics and gravity in the electron's structure. Coupling electrodynamics with gravity introduces the geometry of De Sitter spaces [66,67], which provides attractive/repulsive forces dependent on distance from the origin and can distinguish between Schwarzschild and De Sitter black holes, ensuring the electron's stability from the Coulomb repulsion.…”

Density and Mass Function for Regular Rotating Electrically Charged Compact Objects Determined by Nonlinear Electrodynamics Minimally Coupled to Gravity

“…Generalization of the Dirac nonlinear electrodynamics [53] admits solutions describing spinning charged particles with the behavior typical for solitons: attainability of a particle interior for another particle [53]. Contemporary models based on the spin dynamics have been developed in [54,55] (for a review [56]).…”