  In the Relativistic Quantum Geometry (RQG) formalism recently introduced, was
explored the possibility that the variation of the tensor metric can be done in
a Weylian integrable manifold using a geometric displacement, from a Riemannian
to a Weylian integrable manifold, described by the dynamics of an auxiliary
geometrical scalar field $\theta$, in order that the Einstein tensor (and the
Einstein equations) can be represented on a Weyl-like manifold. In this
framework we study jointly the dynamics of electromagnetic fields produced by
quantum complex vector fields, which describes charges without charges. We
demonstrate that complex fields act as a source of tetra-vector fields which
describe an extended Maxwell dynamics.
