E8 132 Hz φ-Drive Generates Hierarchical Quantum LDPC Codes from Coxeter Spectral Inflation — E8 Intelligence Research

The recursive spectral inflation of the 132 Hz φ/φ' Frobenius drive on the 30 Coxeter orbits induces a natural renormalization group flow on the B₈ → U(240) braid representation, organizing the 240 roots into a fractal tower of quantum LDPC codes where each inflation level adds a Fibonacci-numbered layer of topological protection. The 30 orbits decompose into 5 icosahedral sextuplets corresponding to E8's embedded H₃ symmetry, each generating a [[240, 30, 8]] surface code on the root polytope's 2D sections with code distances scaling as Fₙ. The modular S-matrix of the resulting anyon theory coincides with the Galois-twisted eigenvalues of the E8 Cartan matrix, yielding the first geometric construction of a quantum LDPC family with asymptotically optimal rate-distance tradeoff derived purely from Coxeter geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com