Аннотация

We propose that particles are associated both with localized macroscopic states at point vertices and with extended microscopic states at all vacuum points. The self-fields screen the microscopic particle currents everywhere except at the particle vertex, observed as a point mass/charge carrier of such a nonlocal particle-field object. All vertices are excluded from the microscopic Maxwell-Lorentz and Einstein-type equations for elementary objects with continuous particle densities. The geodesic particle motion depends on a vector force with unified electromagnetic and gravitational components. The advanced gravitational wave, which will never come from infinity at finite times, and the retarded electromagnetic wave are vector anti-waves. Curved pseudo-Riemannian space-time always maintains flat 3D space that is in agreement with the measurements of planetary perihelion precession, gravitational light bending, radar echo delay, and the nearly isotropic 2.73K cosmic microwave background. The developed synthesis of gravity with electrodynamics and the particle with its field corresponds to the predicted way of double unification and the Rainich-Misner criterion.