Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Connection Between Maxwell's Equations and the Dirac Equation

Version 1 : Received: 27 August 2021 / Approved: 30 August 2021 / Online: 30 August 2021 (12:17:30 CEST)

How to cite: Nyambuya, G.G. Connection Between Maxwell's Equations and the Dirac Equation. Preprints 2021, 2021080543 (doi: 10.20944/preprints202108.0543.v1). Nyambuya, G.G. Connection Between Maxwell's Equations and the Dirac Equation. Preprints 2021, 2021080543 (doi: 10.20944/preprints202108.0543.v1).

Abstract

Electrically charged particles such as Electrons and Protons carry electric, E, and magnetic, B, fields. In addition to these fields, Quantum Mechanics (QM) endows these particles with an `arcane and spooky' field --- the wavefunction. This wavefunction of QM is not only assumed to be separate but distinct from the electromagnetic field. We herein upend this view by demonstrating otherwise. That is, we demonstrate that the four components of the Dirac wavefunction, can be shown to not only be an intimate, but, a direct function of the electromagnetic field carried by the particle in question. Insofar as unity, depth in our understanding and insight into both Dirac and Maxwell's equations as major pillars of Modern Physics, we believe that this work may very well inch us one-step-closer to the truth.

Keywords

Dirac equation; Maxwell's equation; Proca theory

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