Quaternion Gravi-Electromagnetism

TL;DR

This paper introduces a quaternionic framework for gravito-electromagnetism, unifying gravity and electromagnetism as complex fields and demonstrating invariance under Lorentz, duality, and quaternion transformations.

Contribution

It presents a novel quaternionic formulation of gravito-electromagnetism with manifest covariance and invariance properties not previously explored.

Findings

Field equations are Lorentz and duality invariant

Quaternionic formulation remains invariant under quaternion transformations

Unified complex representation of gravitational and electromagnetic fields

Abstract

Defining the generalized charge, potential, current and generalized fields as complex quantities where real and imaginary parts represent gravitation and electromagnetism respectively, corresponding field equation, equation of motion and other quantum equations are derived in manifestly covariant manner. It has been shown that the field equations are invariant under Lorentz as well as duality transformations. It has been shown that the quaternionic formulation presented here remains invariant under quaternion transformations.