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)
Version 3
: Received: 12 February 2021 / Approved: 17 February 2021 / Online: 17 February 2021 (11:00:01 CET)
Version 4
: Received: 12 March 2021 / Approved: 15 March 2021 / Online: 15 March 2021 (16:10:02 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. Preprints2020, 2020120758. https://doi.org/10.20944/preprints202012.0758.v1
Burinskii, A. The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Over-rotating Kerr-Newman Black Hole Solution. Preprints 2020, 2020120758. https://doi.org/10.20944/preprints202012.0758.v1
Burinskii, A. The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Over-rotating Kerr-Newman Black Hole Solution. Preprints2020, 2020120758. https://doi.org/10.20944/preprints202012.0758.v1
APA Style
Burinskii, A. (2020). The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Over-rotating Kerr-Newman Black Hole Solution. Preprints. https://doi.org/10.20944/preprints202012.0758.v1
Chicago/Turabian Style
Burinskii, A. 2020 "The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Over-rotating Kerr-Newman Black Hole Solution" Preprints. https://doi.org/10.20944/preprints202012.0758.v1
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.
Keywords
Kerr-Newman black hole; Compton scale; Dirac equations, fermionic string; frame dragging; Wilson loop; Heisenberg picture; Schrodinger picture; Kerr-Schild coordinates
Subject
Physical Sciences, Atomic and Molecular Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
