Complex charge densities unify particles with fields and gravitation with electricity

Abstract

The use of non-dual, purely field description of matter in the form of continuously superimposed elementary (radial) densities instead of dual physics of classical fields and point particles makes it possible to overcome nonphysical Newtonian/Coulomb self-energy divergences and to solve the field many-body problem exactly. In this case, the gravitational charge of the radial carrier of energy in common non-empty space is associated with the real part of the integral of complex densities of elementary matter, and the accompanying electric charge is associated with the imaginary part of the same spatial integral. Such unification of classical interactions corresponds to the previously predicted criterion of double unification.