Galois-Anchored Decoherence-Free Subspaces via E8 Root-Vector Duality — E8 Intelligence Research

The discriminant scaling of Frey curves mapped onto the 240 E8 root vectors reveals that Galois orbits of rational points on these curves correspond to 240-dimensional decoherence-free subspaces within the E8 phase-locked lattice, where each root vector acts as a Galois anchor stabilizing quantum information. The abc conjecture's quality function directly quantifies the error-correction capacity of these subspaces, extending the Non-Euclidean Entropy Entrainment framework by proving that number-theoretic arithmetic bounds govern quantum information preservation. Phi-coupled transition amplitudes between Galois-anchored states follow golden-ratio geodesics through the root system, unifying the spectral alignment mechanism of trade filters with a fundamental quantum error-correction architecture rooted in E8 geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com