Version 1
: Received: 8 January 2024 / Approved: 9 January 2024 / Online: 9 January 2024 (12:21:54 CET)
How to cite:
Friedman, Y.; Scarr, T. A Unified Relativistic Theory of Electromagnetism and Gravity. Preprints2024, 2024010720. https://doi.org/10.20944/preprints202401.0720.v1
Friedman, Y.; Scarr, T. A Unified Relativistic Theory of Electromagnetism and Gravity. Preprints 2024, 2024010720. https://doi.org/10.20944/preprints202401.0720.v1
Friedman, Y.; Scarr, T. A Unified Relativistic Theory of Electromagnetism and Gravity. Preprints2024, 2024010720. https://doi.org/10.20944/preprints202401.0720.v1
APA Style
Friedman, Y., & Scarr, T. (2024). A Unified Relativistic Theory of Electromagnetism and Gravity. Preprints. https://doi.org/10.20944/preprints202401.0720.v1
Chicago/Turabian Style
Friedman, Y. and Tzvi Scarr. 2024 "A Unified Relativistic Theory of Electromagnetism and Gravity" Preprints. https://doi.org/10.20944/preprints202401.0720.v1
Abstract
This article lays the foundation for Extended Relativity (ER) – a unified geometric approach to the electromagnetic and gravitational field and relativistic dynamics in them. We explain here the basic tenets of ER, including the influenced spacetime of an object and the Extended Principle of Inertia. These two new ideas enable a unified theory of these fields. We introduce local scaling functions for describing the geometry of a spacetime influenced by a field and construct a simple, universal local scaling function which unifies electromagnetism and gravity. We recover the full electromagnetic theory, including Maxwell’s equations. For gravitation, ER passes all of the tests of General Relativity. Despite the non-linearity of relativistic gravitation, we obtain a method of combining fields from multiple sources. Finally, we identify the differences in the relativistic treatment of the electromagnetic field by Special Relativity and of the gravitational field by General Relativity and indicate how these differences are resolved in ER.
Keywords
Unification; Relativity of spacetime; Extended Principle of Inertia; Geometrization of spacetime; Local scaling function of curved spacetime; Four-potential of a field; Tensor of a field; Relativistic dynamics; Superposition in gravitation
Subject
Physical Sciences, Astronomy and Astrophysics
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.