By introducing a new form of metric tensor the same derivation for the electromanetic tensor \(F_{\mu \nu}\) from potentials \(A_{\mu}\) leads to the dual space (Hodge Dual) of the regular \(F_{\mu \nu}\) tensor. There are additional components in the \(i,j,k\) planes, however if after the derivation only the real part is considered a physically consistent electromagnetic theory is recovered with a relabelling of \(\vec{E}\) fields to \(\vec{B}\) fields and vice versa.