preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints202210.0172.v11

Preprint Article Version 11 Preserved in Portico This version is not peer-reviewed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 (QFT), an intuitive form of the fermion still remains lacking and it is often speculated by Dirac belt trick or its related analogies. In a similar fashion, the interpretation of Dirac fermion by QFT is examined within a recently proposed MP model of a hydrogen atom into 4D space-time. The model consists of clockwise precession of an elliptical MP field mimicking Dirac string and an electron of physical entity in orbit of time reversal. Such dynamics sustains charge conjugate, parity inversion and time reversal symmetry with the transition of the electron to Dirac fermion being consistent with Dirac belt trick, quantum mechanics and Lie group. The electron path is solenoidal to on-shell momentum of circular Bohr obit (BO), and by disturbance, this levitates and dissects the MP field into n-dimensions of Minkowski space-time. Contraction of BOs towards the vertices generates Euclidean space-time to a spherical MP model. These outcomes are compatible with QFT such as Dirac field theory and its related components like wave function collapse, quantized Hamiltonian, non-relativistic wave function, Weyl spinor, Lorentz transformation and electroweak symmetry breaking mechanism. The model though speculative, it could become important towards defining the fundamental state of matter subject to further examinations by conventional methods in both experiment and theoretical applications.

Dirac fermion; Dirac belt-trick; space-time; quantum mechanics; Lie group; Dirac field theory; Quantum field theory

Physical Sciences, Theoretical Physics

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