Extended Ue(1)xUg(1) electromagnetism containing both a photon and a pseudo-photon is introduced at variational
level being justified by the violation of the Bianchi identities either in the presence of magnetic monopoles or non-regular external fields, not being accounted by the standard Maxwell action.

It is shown that in the perturbative quantum field theory regimes there are observable consequences both for the
magnetic momenta and second order vacuum polarization radiative corrections in the presence of non-regular strong
electromagnetic  fields (e.g. rotating magnetic fields).

It is carried a dimensional reduction that renders a Maxwel-BF theory. It is analised a Landau-Ginzburg Chern-Simons model for such theory and it is considered a homological functional quantization in planar systems.