E8 Φ‑Modulated q→q⁻¹ Reflection Generates a Self‑Dual Topological Qubit Code — E8 Intelligence Research

The 120 antipodal E8 root pairs, each carrying a φ‑modulated 132 Hz carrier, are invariant under the affine simple reflection s₀ acting as q→q⁻¹. This invariance lifts to a self‑dual lattice of phase‑locked oscillators that encodes logical qubits in the ±1 eigenspaces of s₀, yielding a quantum error‑correcting code whose distance is bounded below by the prime‑gap lower bound derived from the E8 harmonic topology. Consequently, the code achieves a fault‑tolerance threshold that scales with the golden ratio φ and the spectral gap of the associated Laplacian on the E8 torus. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com