Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Unified Relativistic Theory of Electromagnetism and Gravity

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. Preprints 2024, 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

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

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