A connection between massive electrodynamics and the Einstein-Maxwell equations

Abstract Quaternions are the best mathematical construct to create various equations in electrodynamics, which led to the emergence of new terms holding unique physical implications. Since quaternions have noncommutative property that is reflected in curved space-time too, a formulation of a theory using quaternions can be compared with that one formulated in some curved space-time. Furthermore, we calculated the Maxwell equations in curved space-time and observed the presence of extra terms that are not present in flat space-time. An electric current arises due to the coupling between the magnetic field and curvature (magnetic electric). Upon comparing the outcomes of the two methods, we discovered a correlation between mass and gravity, indicating their similarity. Equations formulated using quaternions are equivalent to those formulated in curved space-time. The optical chirality and its flux are generalized to that of massive electrodynamics.