The Experience Principle and Classical Electromagnetism: A Comparative Analysis

This paper provides a systematic comparison between the Experience Principle—a constructive reformulation of electromagnetism developed in the preceding three papers—and conventional classical electromagnetism, including its relativistic formulation. The analysis examines fundamental differences across key conceptual domains: ontology, motion and time, the force law and Lorentz factor, potentials and gauge invariance, Maxwell's equations and wave propagation, and philosophical foundations. In each domain, the Experience Principle theory is shown to achieve greater parsimony, explanatory power, and conceptual clarity. The electric field is absolute and invariant; the magnetic field is derived rather than fundamental; force is invariant; time dependence emerges from the cancellation condition \mathbf{E}_m = -\mathbf{E}_s rather than from free fields; the Lorentz factor arises geometrically; potentials are unified in a single vector potential \mathbf{D}; gauge freedom is minimal; Maxwell's equations are effective descriptions rather than fundamental laws; the displacement current emerges naturally; the wave equation is homogeneous; and light is understood as a wave of the field under cancellation rather than detached radiation. The comparison demonstrates that the Experience Principle is not merely a reinterpretation of existing equations but a genuine alternative foundation for electromagnetism, one that resolves long-standing metaphysical puzzles and offers a robust framework for further developments in atomic physics and quantum theory.