Complex energy flows in non-empty space for double unification of particles with fields and charges with masses

摘要

Non-empty space reading of Maxwell equations as local energy identitiesexplains why a Coulomb field is carried rigidly by electrons in experiments.The analytical solution of the Poisson equation defines the sharp radial shapeof charged elementary densities which are proportional to continuous densitiesof electric self-energy. Inward and outward longitudinal waves within thecontinuous electron reshape its radial energy structure in external fields.Both Coulomb field and radial charge densities are free from energydivergences. Non-empty space of electrically charged mass-energy can bedescribed by complex analytical densities resulting in real values for volumemass integrals and in imaginary values for volume charge integrals. Imaginaryelectric charges in the Newton gravitational law comply with real Coulombforces. Unification of forces through complex charges rids them of radiationself-acceleration.