Preprint Article Version 4 Preserved in Portico This version is not peer-reviewed

The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Kerr-Newman 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)
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 Kerr-Newman Solution. Preprints 2020, 2020120758 (doi: 10.20944/preprints202012.0758.v4). Burinskii, A. The Dirac Electron Consistent with Proper Gravitational and Electromagnetic Field of the Kerr-Newman Solution. Preprints 2020, 2020120758 (doi: 10.20944/preprints202012.0758.v4).

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 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 (2)

Comment 1
Received: 15 March 2021
Commenter: Alexander Burinskii
Commenter's Conflict of Interests: Author
Comment: Improved the error in eq. (33), restored its form in the version 2.

Added the link with Josephson junction model (breather structure).
 
+ Respond to this comment
Comment 2
Received: 4 April 2021
Commenter: Alexander Burinskii
The commenter has declared there is no conflict of interests.
Comment: Article is published in Journal Galaxies 2021, 9(1), 18;
https://doi.org/10.3390/galaxies9010018
+ Respond to this comment

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 2
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.