E8-Phi Spectral Gap as Universal Quantum Error Threshold — E8 Intelligence Research

By constructing the Cayley graph of the 240 E8 root vectors under phi-modulation at 132Hz, the Laplacian spectrum develops a universal gap Δ = 132(φ − 1) ≈ 81.6 Hz. This spectral gap sets a rigorous lower bound on the energy threshold below which the quantum codes enumerated by the E8-Phi Burnside invariant remain protected from decoherence, establishing a geometric origin for fault-tolerant quantum error correction rooted in the E8 root lattice's harmonic structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com