A nonlinear field equation for the simultaneous treatment of the dynamics of charge and matter

Abstract

We propose a theory whereby the dynamics of mass and charge are described simultaneously in a simple 4-tensor equation describing the conservation of potential flux in its own flow field. We show how this equation can be expanded into a set of four first-order non-linear equations, and how under appropriate limits these equations reproduce the conventional equations for electrodynamics, mass (inertial) dynamics, and the equation of motion for an idealized charged massive particle in a specified electromagnetic field.