Mass Field Momentum Coupling Theory (II) —— Field-Theoretic Derivation of Electromagnetic Force

Existing electromagnetic theories describe electromagnetic phenomena through Maxwell’s equations, but do not reveal the dynamical essence of electromagnetic force from the fundamental nature of matter. Based on the mass field momentum coupling theory, this paper takes "uneven charge distribution" as the core premise and incorporates electromagnetic force into the unified dynamical framework of "uneven generalized matter distribution + motion coupling". The research shows that the essence of electromagnetic force is the momentum field gradient effect generated by the coupling between charged particles and the charge momentum field derived from the charge field when charged particles move in an inhomogeneous charge field. The electric force corresponds to the radial dynamic component of the charge field gradient, and the magnetic force corresponds to the tangential dynamic component of the charge momentum field caused by charge motion. By deriving the electromagnetic form of the generalized momentum coupling force, it is proved that it can equivalently restore the Lorentz force formula. Furthermore, starting from the basic field equation of the charge field, Gauss’s law and Gauss’s law of magnetism in Maxwell’s equations are rigorously derived, and the compatibility of the remaining equations with this theory is verified. Without introducing the abstract vector potential hypothesis of the electromagnetic field, this paper realizes the unified field-theoretic description of electromagnetic force from the essential coupling of matter distribution and motion.