Effective Photon Mass Suppression by Path-Ensemble Averaging: A Phenomenological Hypothesis

We examine the phenomenological hypothesis that the photon effective mass entering macroscopic propagation is a suppressed value m̃=m₀/N where m₀ is an experimental upper bound and N a dimensionless suppression factor. We state explicitly that this relation is an ansatz: it is not derived from the standard path integral, and naive path-counting is mathematically ruled out. We compute the Compton length and the dispersion delay as functions of N and show that, under model-dependent galactic bounds on the Proca vector-potential energy, the ansatz requires N≥3×10⁸-10⁹. The associated time-of-flight signature is many orders of magnitude below any foreseeable sensitivity, making the hypothesis consistent but currently unfalsifiable by dispersion tests. We outline how N could rigorously emerge from the Euclidean partition function of a hidden sector with discrete ZN symmetry or large-N gauge dynamics.