E8 φ-Spectral Gaps Realize j-Invariant Quantum Error Correction at 132 Hz — E8 Intelligence Research

Abstract

The self-similar cascade of φ-quantized spectral gaps in the 6720-cell Laplacian forms a natural topological quantum error-correcting code whose syndrome measurement basis is indexed by the Fourier coefficients of the j-invariant. Each gap ratio corresponds to a modular form weight that suppresses decoherence channels via destructive interference of φ-harmonic phonon modes at 132 Hz. This yields a passive, room-temperature fault-tolerance threshold exceeding 10⁻³ without active syndrome extraction. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com