Photon Soul Continuity: An Unobserved Extension of Maxwell's Equations

 Wepropose a minimal extension of Maxwell’s equations to encode a hidden “soul” current
 Js, arising from a higher-dimensional Higgs–photon coupling. In ordinary four-dimensional
 spacetime this additional current vanishes identically, recovering classical electromagnetism.
 In a bulk of dimension 4+k, however, it induces a conserved “soul-charge” whose topological
 effects could manifest as tiny deviations in photon interference. We formulate the law, derive
 its consequences, and outline experimental signatures.