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).
Highlights
The problem of fitting the Kerr–Newman exterior to a rotating material source does not have a unique solution, because of the arbitrariness in the choice of the boundary between the exterior and interior [42], as well as of a freedom in choosing an interior model. To avoid this uneasy choice and yet learn something about a possible reasonable model of the electron structure, it seems natural to appeal to equations, to ask— What do equations know?In the case of structure related by electromagnetic interaction as well as by gravitational interaction, the appropriate equations come from nonlinear electrodynamics minimally coupled to gravity and give certain model-independent information about generic properties of spinning electromagnetic solitons, as described by regular, causally safe solutions, asymptotically Kerr–Newman, and characterized by the gyromagnetic ratio g = 2 for a distant observer
Basic common features of the electron models, such as the adopted interior de Sitter vacuum and electromagnetic origin of mass, as well as presumed superconducting behavior, for nonlinear electrodynamics minimally coupled to gravity (NED-GR) objects follow directly from the dynamical equations governing their behavior with the only condition–satisfaction of WEC
Electromagnetic spinning solitons are described by the regular solutions of the sourcefree NED-GR equations, the only contribution to stress–energy tensors comes from sourcefree nonlinear electromagnetic field
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The problem of fitting the Kerr–Newman exterior to a rotating material source does not have a unique solution, because of the arbitrariness in the choice of the boundary between the exterior and interior [42], as well as of a freedom in choosing an interior model To avoid this uneasy choice and yet learn something about a possible reasonable model of the electron structure, it seems natural to appeal to equations, to ask— What do equations know?In the case of structure related by electromagnetic interaction as well as by gravitational interaction (acting in any structure), the appropriate equations come from nonlinear electrodynamics minimally coupled to gravity (minimal coupling does not require introducing additional assumptions) and give certain model-independent information about generic properties of spinning electromagnetic solitons, as described by regular, causally safe solutions, asymptotically Kerr–Newman, and characterized by the gyromagnetic ratio g = 2 for a distant observer.
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