A connection between massive electrodynamics and the Einstein-Maxwell equations

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