EIH Theory and Noether’s Theorem

Abstract

Classical field theory separates the field, which obeys partial differential equations (the field equations), from the sources, which satisfy ordinary (ponderomotive) differential equations, at least when the sources are conceived to be point masses. That the sources of the field are affected by a field’s presence is a fact beyond question. But as point-like sources carry a field with them that tends to infinity at the location of each source, the total field must be split into an “incident field” and a “self-field” in order to obtain a finite field that determines the behavior of the source.