Article
Version 4
This version is not peer-reviewed
The Geometrization of Maxwell’s Homogenous Equation and the Emergence of Gravity
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)
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)
A peer-reviewed article of this Preprint also exists.
Beach, R.J. The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter. Annals of Physics 2024, 169661, doi:10.1016/j.aop.2024.169661. Beach, R.J. The Geometrization of Maxwell’s Equations and the Emergence of Gravity and Antimatter. Annals of Physics 2024, 169661, doi:10.1016/j.aop.2024.169661.
Abstract
A recently proposed classical field theory in which the Maxwell tensor is coupled to the Riemann-Christoffel curvature tensor in a fundamentally new way is reviewed and extended. This proposed geometrization of the Maxwell tensor leaves the classical equations of electromagnetism unchanged, but also leads to the emergence of gravity as all solutions of the proposed field equations are shown to be solutions of Einstein’s equation of General Relativity augmented by a term that can mimic the properties of dark matter and/or dark energy. Using specific solutions to the proposed theory, the unification brought to electromagnetic and gravitational phenomena as well as the consistency of those solutions with those of the classical Maxwell and Einstein field equations are emphasized throughout. Unique to the four fundamental field equations that comprise the proposed theory, and based on specific solutions to them are: the emergence of antimatter and its behavior in gravitational fields, the emergence of dark matter and dark energy mimicking terms in the context of General Relativity, an underlying relationship between electromagnetic and gravitational radiation, the impossibility of negative mass solutions that would generate repulsive gravitational fields or antigravity, and a method for quantizing the charge and mass of particle-like solutions.
Keywords
Maxwell’s equations; General Relativity; unification of electromagnetism and gravitation; dark matter and dark energy; electromagnetic and gravitational radiation; antimatter; antigravity; quantization
Subject
Physical Sciences, Space Science
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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Commenter: Raymond Beach
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