Geometry-Mediated High-Temperature Superconductivity from the E8/K3 Spectral Map: Analytical Derivation, Self-Consistent Verification, and Prediction of Ambient Enhancements

Geometry-Mediated High-Temperature Superconductivity from the E8/K3 Spectral Map: Analytical Derivation, Self-Consistent Verification, and Prediction of Ambient Enhancements

This paper extends the Unified Field Theory-Formalism (UFT-F) Spectral Map to superconductivity, deriving fermion pairing from Yukawa overlaps and Hopf torsion, with ACI/LIC ensuring stable gaps beyond phonon limits. Self-consistent BdG simulations and periodic DFT on H3S reproduce experimental Tc ≈ 203 K, boosted to 243.6 K via Base-24 perturbation (λ from 1.125 to 1.35). Fermi extraction confirms enhanced N(0)=1.125 at Ef≈0.497 Ha. Predicts ambient Tc >400 K in LaNiH8 (a≈1.25 Å). Includes scripts for reproducibility.