Gravitoelectromagnetism in a complex Clifford algebra

TL;DR

This paper introduces a linear vector model of gravitation within quantum physics, extending electromagnetism using complex Clifford algebra to incorporate gravitoelectromagnetic gauge symmetry and a reversed gravitational coupling sign.

Contribution

It presents a novel gravitoelectromagnetic model based on complex Clifford algebra, extending electromagnetism with gauge symmetry and a reversed gravitational coupling sign.

Findings

Establishes a hyperbolic unitary extension of electromagnetic gauge symmetry.

Derives a reversed sign for gravitational coupling using Clifford algebra pseudoscalar.

Proposes a quantum-compatible linear vector gravitation model.

Abstract

A linear vector model of gravitation is introduced in the context of quantum physics as a generalization of electromagnetism. The gravitoelectromagnetic gauge symmetry corresponds to a hyperbolic unitary extension of the usual complex phase symmetry of electromagnetism. The reversed sign for the gravitational coupling is obtained by means of the pseudoscalar of the underlying complex Clifford algebra.