Marriage of Electromagnetism and Gravity in Extended Space Model and Astrophysical Phenomena
V.A. Andreev (1), D. Yu. Tsipenyuk (2) ((1) Lebedev Physical Institute, of the Russian Academy of Sciences, Moscow, Russia. (2) Prokhorov General, Physics Institute of the Russian Academy of Sciences, Moscow, Russia.)

TL;DR
This paper proposes an extended space model unifying electromagnetism and gravity by adding a fifth coordinate, allowing variable rest mass and new predictions for astrophysical phenomena.
Contribution
It introduces a (1+4)-dimensional extension of special relativity that unifies scalar gravity and electromagnetism through a variable rest mass framework.
Findings
Photon can have nonzero mass, positive or negative.
Gravitational effects are derived algebraically via rotations in extended space.
Predicts observable phenomena like supermassive object sizes and star explosions.
Abstract
The generalization of Einstein's special theory of relativity (SRT) is proposed. In this model the possibility of unification of scalar gravity and electromagnetism into a single united field is considered. Formally, the generalization of the SRT is that instead of (1+3)-dimensional Minkowski space the (1+4)-dimensional extension G is considered. As a fifth additional coordinate the interval S is used. This value is saved under the usual Lorentz transformations in Minkowski space M, but it changes when the transformations in the extended space G are used. We call this model the extended space model (ESM). From a physical point of view our expansion means that processes in which the rest mass of the particles changes are acceptable now. If the rest mass of a particle does not change and the physical quantities do not depend on an additional variable S, then the electromagnetic and…
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