Unification of the Gauge Theories

Abstract

We take the Christoffel coefficients as an operator and introduce new mappings for quaternionic products to reach the theory of electrodynamics in general spacetime. With the help of the directional operator of the covariant derivative, we generalize the quaternioic mechanism to the theory of gravity and show that the Einstein equation has the freedom to choose the constant term in agreement with the covariant derivative.