Electronic Topological Impedance, Scale Projection, and the g−2 Fine-Structure Constant Correction

Abstract

Within the GDUM three-layer architecture, the electron mass is not a fundamental constant natively prescribed at the programmatic layer. Rather, it is a topological impedance coupling node generated at the representational layer of the electromagnetic channel after the ℤ₂ two-sheeted topological structure is projected through the covering. The programmatic layer contains only pure topological relations and none of the representational-layer quantities—spacetime, mass, or energy. At the computational layer, the Pin^c(2) fibration and the Deck transformations define the orientation rules of the covering. When topological flux penetrates into the Lorentzian spacetime manifold of the representational layer, the topological impedance prevents the flux from passing through without constraint, producing an impedance-type bound convergence whose calibrated result is manifested as the electron rest mass.