Gravitomagnetic Moments and Dynamics of Dirac's (spin 1/2) fermions in flat space-time Maxwellian Gravity

TL;DR

This paper explores the behavior of Dirac fermions in a flat space-time version of Maxwellian Gravity, revealing that their gravitomagnetic moment equals their intrinsic spin and discussing violations of the Equivalence Principle at relativistic levels.

Contribution

It introduces a relativistically derived Maxwellian Gravity framework and shows that Dirac fermions' gravitomagnetic moments match their intrinsic spins, highlighting violations of the Equivalence Principle.

Findings

Gravitomagnetic moment equals intrinsic spin for Dirac fermions.

Violation of the Equivalence Principle at relativistic quantum level.

Maxwellian Gravity provides a consistent flat space-time gravitational model.

Abstract

The gravitational effects in the relativistic quantum mechanics are investigated in a relativistically derived version of Heaviside's speculative Gravity (in flat space-time) named here as Maxwellian Gravity. The standard Dirac's approach to the intrinsic spin in the fields of Maxwellian Gravity yields the gravitomagnetic moment of a Dirac (spin 1/2) particle exactly equals to its intrinsic spin. Violation of The Equivalence Principle (both at classical and quantum mechanical level) in the relativistic domain has also been reported in this work.