Gravitating bag as a coherent system of the point-like and dressed electron

TL;DR

This paper models the electron as a gravitating bag with a solitonic source, combining gravitational and electromagnetic fields, and introduces a coherent system of a point-like electron and a dressed, stringy bag structure.

Contribution

It presents a novel gravitating bag model for the electron that integrates Kerr-Newman solutions with solitonic and bag-like structures, aligning gravity with quantum features.

Findings

The electron's fields correspond to an over-rotating Kerr-Newman solution.

The model regularizes the singularity with a Higgs-field-filled vacuum bubble.

Electromagnetic excitations produce stringy waves and a traveling pole.

Abstract

Gravitational and electromagnetic fields of an electron correspond to over-rotating Kerr-Newman (KN) solution, which has a naked singular ring and two-sheeted topology. This solution is regularized by a solitonic source, in which singular interior is replaced by a vacuum bubble filled by the Higgs field in a false-vacuum state. Field model of this KN bubble has much in common with the famous MIT and SLAC bag models, but the geometry is "dual" (turned inside out), leading to consistency of the KN bag model with gravity. Similar to other bag models, the KN bag is compliant to deformations, and under rotations it takes an oblate ellipsoidal form, creating a circular string along the border. Electromagnetic excitations of the KN bag generate stringy traveling waves which deform the bag, creating a traveling singular pole, included in a general bag-string-quark complex. The dressed electron may be considered in this model as a coherent excitation of this system, confining the point-like electron (as a quark) in state of zitterbewegung.