Reinterpreting Maxwell with the General Field Quantisation Theorem has implications for the Yang-Mills mass gap

Anton Lorenz Vrba

No s4gy6_v2, OSF Preprints from Center for Open Science

Abstract: The inherent quantum structure of classical fields is exposed by the General Field Quantisation Theorem (GFQT), a novel approach to quantising space, time, and the field itself. We study magnetic and electric field quanta (denoted by B and E, respectively) defined in a space quantum l^3. Within this quantised electromagnetic framework, we demonstrate that the set M of algebraic vector equations M :={u = B × E/B · B, B = E × u/u · u, and E = u × B} naturally lead to the Maxwell equations in vacuum. By adopting the physical constants (Planck constant h, elementary charge e, speed of light c, and fine-structure constant α) as axioms, we determine algorithmically a novel theory of quantised electromagnetic field dynamics in vacuum, without resorting to a priori knowledge. Replacing u in M with a gyration velocity vector g (rad per second) we prove that Maxwellian dynamics also apply to gyrations or vortices. Solutions for M identify quantised electromagnetic solitons having one- (e. g. photons), two- or three-dimensional propagation paths. A significant consequence of this approach is the prediction of an electromagnetic mass gap. Furthermore, GFQT’s applicability to all field types establishes a mass gap as a universal characteristic of any field within the quantum field theory framework. Consequently, GFQT substantiates the existence of the Yang-Mills mass gap, albeit in a manner that differs from original expectations.

Date: 2025-02-04
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Persistent link: https://EconPapers.repec.org/RePEc:osf:osfxxx:s4gy6_v2

DOI: 10.31219/osf.io/s4gy6_v2

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