2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144870A classical general relativistic theory possessing magnetic currents, as well electric ones and admitting massive photons was built up. As the geometric basis serves a space with Weylian non-metricity and torsion. The theory is coordinate covariant as well Weyl-gauge covariant. In the limit one obtains the ordinary Einstein-Maxwell theory.3pages. A short version of the paper in arXiv:0712.4044 Contribution to the 8-th Marcel Grossmann MeetingGeneral Relativity and Quantum Cosmologytext