The Electromagnetic Field Equations

Abstract

The theory that is advocated in this monograph contends that the incorporation of the Mach principle with the principle of relativity necessarily highlights the elementarity of the mutual interaction, rather than starting with the particle of matter as an elementary concept. Thus, instead of adopting the Lorentz model in electrodynamics for extension to the description of the motion of charged particles in a background electromagnetic field of potential force, we describe electromagnetic phenomena in terms of the coupling of regular (i.e. finite, continuous and continuously differentiable) field variables. These variables, in turn, relate to the mutual dynamical coupling of matter within a closed system; they do not relate to the intrinsic properties of separable, singular particles of matter, as they would in the classical or quantum mechanical atomistic theories. This new view is then in complete accord with the Mach principle.