On the Unification of Gravitational and Electromagnetic Fields

TL;DR

This paper proposes a complex-valued scalar potential framework that unifies gravitational and electromagnetic fields, describing electric and magnetic phenomena as imaginary components within a single theoretical model.

Contribution

It introduces a novel complex scalar potential approach to unify gravity and electromagnetism, differing from traditional Riemannian theories like GTR.

Findings

Electric field as imaginary 3-vector acceleration

Magnetic field as imaginary 3-vector angular velocity

Imaginary part of complex mass corresponds to electric charge

Abstract

In the paper [4] is presented a theory which unifies the gravitation theory and the mechanical effects, which is different from the Riemannian theories like GTR. Moreover it is built in the style of the electomagnetic field theory. This paper is a continuation of [4] such that the complex variant of that theory yields to the required unification of gravitation and electromagnetism. While the gravitational field is described by a scalar potential $\mu $, taking a complex value of $\mu $ we obtain the unification theory. For example the electric field appears to be imaginary 3-vector field of acceleration, the magnetic field appears to be imaginary 3-vector of angular velocity and the imaginary part of a complex mass is just electric charge of the particle.