Preprint Article Version 13 This version is not peer-reviewed

Dirac Fermion of a Monopole Pair (MP) Model

Samuel Yuguru
*
Version 1 : Received: 11 October 2022 / Approved: 12 October 2022 / Online: 12 October 2022 (10:10:23 CEST)
Version 2 : Received: 13 October 2022 / Approved: 13 October 2022 / Online: 13 October 2022 (11:41:39 CEST)
Version 3 : Received: 21 November 2022 / Approved: 22 November 2022 / Online: 22 November 2022 (02:36:49 CET)
Version 4 : Received: 7 December 2022 / Approved: 7 December 2022 / Online: 7 December 2022 (10:48:31 CET)
Version 5 : Received: 23 January 2023 / Approved: 23 January 2023 / Online: 23 January 2023 (09:34:09 CET)
Version 6 : Received: 26 January 2024 / Approved: 28 January 2024 / Online: 29 January 2024 (04:03:38 CET)
Version 7 : Received: 12 February 2024 / Approved: 13 February 2024 / Online: 13 February 2024 (12:37:23 CET)
Version 8 : Received: 22 February 2024 / Approved: 22 February 2024 / Online: 22 February 2024 (09:33:31 CET)
Version 9 : Received: 2 May 2024 / Approved: 4 May 2024 / Online: 6 May 2024 (08:52:41 CEST)
Version 10 : Received: 17 June 2024 / Approved: 18 June 2024 / Online: 18 June 2024 (08:06:58 CEST)
Version 11 : Received: 13 July 2024 / Approved: 14 July 2024 / Online: 15 July 2024 (04:57:30 CEST)
Version 12 : Received: 20 August 2024 / Approved: 20 August 2024 / Online: 22 August 2024 (03:05:26 CEST)
Version 13 : Received: 17 September 2024 / Approved: 17 September 2024 / Online: 18 September 2024 (03:22:31 CEST)

How to cite: Yuguru, S. Dirac Fermion of a Monopole Pair (MP) Model. Preprints 2022, 2022100172. https://doi.org/10.20944/preprints202210.0172.v13 Yuguru, S. Dirac Fermion of a Monopole Pair (MP) Model. Preprints 2022, 2022100172. https://doi.org/10.20944/preprints202210.0172.v13

Abstract

The electron of superposition states of spin-charge, ±1/2 in probabilistic distribution about a nucleus of an atom is described by non-relativistic Schrödinger wave equation. The equation relates to conservation of energy into space-time and is pertinent to quantum mechanics (QM). Transformation of the electron to Dirac fermion of a complex four-component spinor is by Dirac belt trick and this pursued by relativistic quantum field theory (QFT). How to combine both QM and QFT into 4D space-time at singularity remains lacking without the development of a proper theory of quantum gravity. In this study, how both QM and QFT are integrated within a proposed MP model of hydrogen type of 4D space-time on a geometry perspective is examined. The electron transformation to Dirac fermion appears consistent with Dirac belt trick while sustaining superposition of spin-charge and wave-particle duality. Such a model appears dynamic and its relatable to some basic aspects of both QM and QFT like Dirac theory, wave function collapse, quantized Hamiltonian, non-relativistic wave function, Weyl spinor, Lorentz transformation and electroweak symmetry breaking mechanism. These are succinctly plotted to be explored further into more depth the conventional way in both experiments and theoretical applications.

Keywords

Dirac fermion; Quantum mechanics; Quantum field theory; Dirac belt-trick; 4D space-time

Subject

Physical Sciences, Theoretical 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.

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