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

Year: 2025
Type: article
Abstract: 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.
DOI: 10.5281/zenodo.17217165
Language: English
Open Access status: green
OpenAlex ID: W7083629068
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