Topological Invariance of αQED, Vacuum Impedance, and Dynamic Planck Scaling under the Asymptotic Seashell-Universe Metric

Variable Speed of Light (VSL) cosmological models frequently encounter theoretical difficultiesregarding the stability of electromagnetic interactions, as an uncompensated variationin the propagation speed v(R) generally induces divergences in the fine-structure constantαQED during early cosmic epochs. In this work, we examine a mechanism to preserve αQEDacross all radial scales within the static conoidal helicoidal geometry of the Seashell-Universemodel. By embedding four-dimensional spacetime within a five-dimensional regular contactU(1)-bundle governed by the Maelstrom Theorem, we show how the quantum of action h0emerges asymptotically as a period invariant of the Reeb vector field on the compact boundarysubvariety ∂M0. Fixing an operational metrological frame anchored to the gravitationalconstant G and asymptotic fermion rest masses, we derive the physical radial scaling of ℏ(R),the vacuum permittivity ε0(R), magnetic permeability μ0(R), and free-space impedanceZ0(R). We demonstrate that Z0(R) and the effective von Klitzing resistance RK(R) scaleidentically as (c/v(R))2, acting as a confining topological boundary at the conoidal vertexwhile preserving their quantum-electrodynamic ratio. Furthermore, we construct a rescaledU(1) gauge connection A˜μ for a strictly massless photon field that absorbs the radial dependenceof e(R)/ℏ(R), preserving both field-strength gauge invariance and Noether chargeconservation. Under the conformal scaling ε0(R)ℏ(R) = const. and e2(R) ∝ v(R), αQEDremains strictly invariant (dαQED/dR = 0) across all cosmic epochs.