G-Theory → Maxwell Duality: Lie-N Compactification, a Nonsingular Bounce, and Topological Photon Signatures : Prospects for evidence of an unobserved extended Maxwell law

As the photon travels, we can anticipate the surroundings of thephoton. In this work, we present further evidence related to an un-observed law of nature by working with our Maxwell extensions. Wewill deliberate cause a reformulation of a Lie-N G-theory cosmogen-esis program we will define foremost. Starting from algebraic G0/Gpactions built on Lie-N brackets, we perform a consistent dimensionalreduction and show how structurally-determined higher-curvature andform-coupling terms produce an event that involves, always a nonsin-gular cosmological bounce. Because the bounce always seems to takeplace, concurrently, a pushforward of a Higgs/C-field morphism yieldsa conserved topological 3-form current Js, which minimally modifiesMaxwell’s equations tod( ∗ F − Js ) = 0.Since our extension seems to manifest, we hence prove a Soul-ChargeDuality theorem , part of which we have established in earlier works.Hence we are, through this new abstract establishing a map betweenmicroscopic compactification data and the triplet (α, β, ω) controllingthe gravitational bounce and the electromagnetic topological imprint,respectively. The duality hence links bounce-resolving microphysicsand tiny photon-phase effects, opening both cosmological and labora-tory windows (interferometry, polarization) to test a previously unob-served extension of Maxwell’s law. In order to further provide suffi-cient depth into our investigation we will derive the effective 4D ac-tion, present analytic and numerical bounce solutions free of obviousghost instabilities, compute linear perturbations, discuss anomaly con-sistency, and forecast experimental bounds.