Dirac Fermion of a Monopole Pair (MP) Model

Samuel Yuguru

doi:10.20944/preprints202210.0172.v9

Preprint Article Version 9 Preserved in Portico This version is not peer-reviewed

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)

The electron of spin −1/2 is a Dirac fermion of a complex four-component spinor field. Though it is effectively addressed by relativistic quantum field theory, an intuitive form of the fermion still remains lacking and it is often described by the so-called Dirac belt trick. In this novel undertaking, the electron is examined within the boundary posed by a recently proposed MP model of a hydrogen atom into 4D space-time. Its transformation to Dirac fermion appears consistent with Dirac belt trick, quantum mechanics and Lie group with gravity considered to be a classical force for an irreducible spinor field. These outcomes are compatible with Dirac field theory and its associated features like wave function collapse, quantized Hamiltonian, non-relativistic wave function, Weyl spinor, Lorentz transformation and Feynman diagrams. The model though speculative, it could become important towards defining the fundamental state of matter subject to further examinations.

Dirac fermion; Dirac belt-trick; quantum mechanics; Lie group

Physical Sciences, Quantum Science and Technology

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Dirac Fermion of a Monopole Pair (MP) Model

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