2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33437The covariant scheme is proposed to couple gravity and electrodynamics in pseudo-Riemannian four-spaces with electromagnetic connections. Novel dynamics of the extended charge and electromagnetic dilation-compression of its proper time can be tested in non-relativistic experiments. The vector equations acknowledge unified photon waves without metric modulations of flat laboratory space.4 pages, LatexGeneral Relativity and Quantum Cosmologytext