On the general covariance Maxwellian electrodynamics

Einstein's general theory of relativity demands general covariance of laws of Physics. In the same motivation, Maxwellian electrodynamics in the most general space-time is worked out that is generally covariant and nonlinear. The nonlinear terms arise due to the interaction of space-time curvature with the electromagnetic phenomena. The model reduces to its classical limit when these non-linear terms are subjected to zero. Consequences of this formalism in a permanent flux of surprises like the geometrical unification of all electromagnetic systems, geometrical unification of electromagnetism and space-time, existence of magnetic monopoles, the birth of nonlinear Maxwellian electrodynamics etc. that will help us to understand our natural world from the nucleus to cosmos. (author)