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 the
photon. In this work, we present further evidence related to an un-
observed law of nature by working with our Maxwell extensions. We
will deliberate cause a reformulation of a Lie-N G-theory cosmogen-
esis program we will define foremost. Starting from algebraic G0/Gp
actions built on Lie-N brackets, we perform a consistent dimensional
reduction and show how structurally-determined higher-curvature and
form-coupling terms produce an event that involves, always a nonsin-
gular cosmological bounce. Because the bounce always seems to take
place, concurrently, a pushforward of a Higgs/C-field morphism yields
a conserved topological 3-form current Js, which minimally modifies
Maxwell’s equations to
d( ∗ F − Js ) = 0.
Since our extension seems to manifest, we hence prove a Soul-Charge
Duality theorem , part of which we have established in earlier works.
Hence we are, through this new abstract establishing a map between
microscopic compactification data and the triplet (α, β, ω) controlling
the gravitational bounce and the electromagnetic topological imprint,
respectively. The duality hence links bounce-resolving microphysics
and 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 obvious
ghost instabilities, compute linear perturbations, discuss anomaly con-
sistency, and forecast experimental bounds.