The Geometrization of Maxwell's Equations and the Emergence of Gravity and Antimatter
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arXiv
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| Format: | Preprint |
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2011
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| _version_ | 1866916086150070272 |
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| author | Beach, Raymond J. |
| author_facet | Beach, Raymond J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1102_2170 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | The Geometrization of Maxwell's Equations and the Emergence of Gravity and Antimatter Beach, Raymond J. General Physics 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. |
| title | The Geometrization of Maxwell's Equations and the Emergence of Gravity and Antimatter |
| topic | General Physics |
| url | https://arxiv.org/abs/1102.2170 |