ΔΦ FIELD LAW v2.1 Formal Derivation of the Mitchell Equation from Maxwellian Electrodynamics and Einsteinian Curvature

This Version 2.1 paper formally derives the Mitchell Equation (ΔΦ = ρ × v) from the foundations of Maxwell’s electrodynamics and Einstein’s general relativity. It shows that ΔΦ is a scalar contraction of field behavior across classical and relativistic domains, embedding it into Gauss’s Law, current density equations, and the Einstein stress-energy tensor. The paper positions ΔΦ not as an alternative theory, but as a unifying law of tension resolution across all field domains.