Elliptic biquaternionic equations of gravitoelectromagnetism

Abstract

In this paper, we propose to write the generalization of gravity, including the Proca‐type and gravitomagnetic monopole terms through a new algebraic structure elliptic biquaternions. The most generalized form of Klein–Gordon equation is discussed in a more compact and useful formulation for the particle carrying gravitational mass in terms of elliptic biquaternions. Further, electromagnetic energy conservation with magnetic monopole terms is also discussed in terms of elliptic biquaternions.