Topological Invariance of αQED, Vacuum Impedance, and Dynamic Planck Scaling under the Asymptotic Seashell-Universe Metric
Year: 2026
Type: preprint
Abstract: 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.
Author: Ganz, Uriel
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225799455
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