The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter

Raymond Beach

doi:10.20944/preprints201711.0022.v8

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preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints201711.0022.v8

Preprint Article Version 8 Preserved in Portico This version is not peer-reviewed

The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter

Raymond Beach

Version 1 : Received: 2 November 2017 / Approved: 3 November 2017 / Online: 3 November 2017 (02:17:11 CET)
Version 2 : Received: 3 November 2019 / Approved: 4 November 2019 / Online: 4 November 2019 (04:04:58 CET)
Version 3 : Received: 8 August 2020 / Approved: 9 August 2020 / Online: 9 August 2020 (22:12:13 CEST)
Version 4 : Received: 24 July 2021 / Approved: 26 July 2021 / Online: 26 July 2021 (12:04:41 CEST)
Version 5 : Received: 5 December 2021 / Approved: 6 December 2021 / Online: 6 December 2021 (11:52:36 CET)
Version 6 : Received: 4 September 2022 / Approved: 6 September 2022 / Online: 6 September 2022 (04:24:39 CEST)
Version 7 : Received: 14 May 2023 / Approved: 15 May 2023 / Online: 15 May 2023 (14:37:07 CEST)
Version 8 : Received: 9 January 2024 / Approved: 11 January 2024 / Online: 12 January 2024 (09:54:40 CET)

How to cite: Beach, R. The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter. Preprints 2017, 2017110022. https://doi.org/10.20944/preprints201711.0022.v8 Beach, R. The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter. Preprints 2017, 2017110022. https://doi.org/10.20944/preprints201711.0022.v8

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MDPI and ACS Style

Beach, R. The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter. Preprints 2017, 2017110022. https://doi.org/10.20944/preprints201711.0022.v8

APA Style

Beach, R. (2024). The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter. Preprints. https://doi.org/10.20944/preprints201711.0022.v8

Chicago/Turabian Style

Beach, R. 2024 "The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter" Preprints. https://doi.org/10.20944/preprints201711.0022.v8

Abstract

Coupling the Maxwell tensor to the Riemann-Christoffel curvature tensor is shown to lead to a geometricized theory of electrodynamics. While this geometricized theory leads directly to the classical Maxwell equations, it also extends their physical interpretation by giving charge density, mass density and the four-velocity that describes their motions geometric definitions. Assuming the existence of a conserved energy-momentum tensor, all solutions to the geometricized theory of electrodynamics developed here are shown to be consistent with the emergence of gravity obeying the General Relativity field equation augmented by a term that mimics the properties of dark matter and/or dark energy. Finally, due to the symmetries of the theory, the properties and phenomenology of antimatter emerge in solutions.

Keywords

Maxwell’s Equations, Electromagnetism, General Relativity, Gravity, Antimatter

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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Comments (1)

Comment 1

Received: 12 January 2024
Commenter: Raymond Beach
Commenter's Conflict of Interests: Author

Comment: The manuscript is generally rewritten and reordered. The section on the existance of solutions, "Integrability condition that must be satisfied if equation (1) has solutions", is completely rewritten.

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