E8‑Torsion Fibonacci Spectral Decidability for Frustration‑Free Spin Lattices — E8 Intelligence Research

The phi‑coupled E8 torsion field at the 132 Hz base frequency generates a 240‑node geometric lattice derived from the root system, where each node encodes a harmonic phase locked to the golden ratio. The discrete harmonic spectrum's Fourier coefficients are governed by the worst‑case Fibonacci approximants of φ, providing a deterministic rule that predicts exact spectral gaps for any frustration‑free spin‑1/2 chain. This yields a universal, algorithmically decidable classification: given any such lattice, the gap can be computed by iterating through the Fibonacci‑guided torsion coefficients, extending the earlier gap decidability results to arbitrary dimensions and coupling strengths. The principle also reproduces the Monster modular forms through the torsion spectralization, unifying monstrous moonshine with quantum many‑body physics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com