Kerr-Newman electron as spinning soliton

Abstract

Measurable parameters of the electron indicate that its background should be described by the Kerr-Newman (KN) solution. Spin/mass ratio of the electron is extreme large, and the black hole horizons disappear, opening a topological defect of spacetime -- the Kerr singular ring of the Compton size, which may be interpreted as a closed fundamental string to the low energy string theory. The singular and twosheeted structure of the corresponding Kerr space has to be regularized, and we consider the old problem of regular source of the KN solution. As a development of the earlier Keres-Israel-Hamity-López model, we describe the model of smooth and regular source forming a gravitating and relativistically rotating soliton based on the chiral field model and the Higgs mechanism of broken symmetry. The model reveals some new remarkable properties: 1) the soliton forms a relativistically rotating bubble of the Compton radius, which is filled by the oscillating Higgs field in pseudo-vacuum state, 2) boundary of the bubble forms a domain wall which interpolates between the internal flat background and the external exact Kerr-Newman (KN) solution, 3) phase transition is provided by a system of the chiral fields, 4) vector potential of the external the KN solution forms a closed Wilson loop which is quantized, giving rise to quantum spin of the soliton. 5) soliton is bordered by a closed string, which is a part of the general complex stringy structure.

25 pages, 3 figures

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• Gravitating lepton bag model
• Elementary Superconductivity in Nonlinear Electrodynamics Coupled to Gravity
• Analysis of a nonlinear electromagnetic generalization of the Reissner-Nordström black hole
• Bohmian trajectories for Kerr-Newman particles in complex space-time