On the electrodynamics of moving particles in a quasi flat spacetime with Lorentz violation and its cosmological implications

TL;DR

This paper explores a Lorentz-violating quasi-flat spacetime with a minimum speed, linking electromagnetic and gravitational fields, and derives cosmological implications such as vacuum energy and anti-gravity effects consistent with observations.

Contribution

It introduces a novel coupling between electromagnetic and gravitational fields involving a universal minimum speed and Lorentz violation, with implications for cosmology.

Findings

Derived a tiny gravitational-electromagnetic coupling constant.

Obtained cosmological constant and vacuum energy density values matching observations.

Proposed a preferred reference frame with a background field breaking Lorentz symmetry.

Abstract

This research aims to develop a new approach toward a consistent coupling of electromagnetic and gravitational fields by using an electron that couples with a weak gravitational potential by means of its electromagnetic field. We find the value of the tiny coupling constant of gravity with electromagnetic fields, which depends on the speed of light and a universal minimum speed that represents the lowest limit of speed for any particle. Such a minimum speed, unattainable by particles, represents a preferred reference frame associated with a background field that breaks the Lorentz symmetry. The metric of the flat spacetime shall include the presence of a uniform vacuum energy density, which leads to a negative pressure at cosmological scales, i.e., the cosmological anti-gravity. The tiny values of the cosmological constant and the vacuum energy density will be successfully obtained in agreement with the observational data.