Working Paper Article Version 2 This version is not peer-reviewed

The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Over-rotating Kerr-Newman Black Hole Solution

Version 1 : Received: 29 December 2020 / Approved: 30 December 2020 / Online: 30 December 2020 (15:12:57 CET)
Version 2 : Received: 4 January 2021 / Approved: 5 January 2021 / Online: 5 January 2021 (11:44:55 CET)

How to cite: Burinskii, A. The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Over-rotating Kerr-Newman Black Hole Solution. Preprints 2020, 2020120758 Burinskii, A. The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Over-rotating Kerr-Newman Black Hole Solution. Preprints 2020, 2020120758

Abstract

We consider the Dirac electron as a nonperturbative particle-like solution consistent with its own Kerr-Newman (KN) gravitational and electromagnetic field. We develop the earlier models of the KN electron regularized by Israel and López, and consider the non-perturbative electron model as a bag model formed by Higgs mechanism of symmetry breaking. The The López regularization determines the unique shape of the electron in the form of a thin disk with a Compton radius reduced by 4π. In our model this disk is coupled with a closed circular string which is placed on the border of the disk and creates the caused by gravitation frame-dragging string tension produced by the vector potential of the Wilson loop. Using remarkable features of the Kerr-Schild coordinate system, which linearizes the Dirac equation, we obtain solutions of the Dirac equation consistent with the KN gravitational and electromagnetic field, and show that this solution takes the form of a massless relativistic string. Parallelism of this model with quantum representations in Heisenberg and Schrodinger pictures explains remarkable properties of the stringy electron model in the relativistic scattering processes.

Subject Areas

Kerr-Newman black hole; Compton scale; Dirac equations, fermionic string; frame dragging; Wilson loop; Heisenberg picture; Schrodinger picture; Kerr-Schild coordinates

Comments (1)

Comment 1
Received: 5 January 2021
Commenter: Alexander Burinskii
Commenter's Conflict of Interests: Author
Comment: 1. Added reference [42] before equation (28).
2. Added the following text before sec. 6. Conclusion:
Although in Heisenberg picture electron represents a string about the Compton size (or
Wilson Loop) surrounding the Kerr-Newman disk, this is a static picture corresponding to
shape of the string an fixed time t = const. Really, the electron is an ultra-relativistic object,
and any external observer (including other particles) perceives the electron in Schrodinger
picture, where its wave function is multiplied by unitary factor eiHt.
The consistent with gravity Compton radius of an electron is not its effective scattering
radius, and the people working in the high energy physics perceive it as a micro-vortex,
which works like a scalpel.
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