Double unification, time compression, and space flatness for the extended particle

Abstract

Three variational vector equations are derived for the extended particle-field object located on the light cone. Point sources are excluded from the pure field equations and all physical magnitudes are free from divergences. Accepting 3D intersections of 4D cone-charges, vector electrogravity explains all observed phenomena under common flat 3D and 1D intervals. External cone-charges contribute to pseudo-Riemannian metrics of proper four-spaces of charged objects, resulting in dilation-compression of their proper time rates. Photon-type gravitational radiation is not associated with metric modulation of flat, laboratory space. The Minkowski-Lorentz equation for free charges corresponds to the equivalence principle for the canonical four-space. The predicted criterion of double unification, particles with fields - gravity with electrodynamics, is confirmed in vector electrogravity.