Phi-Locked E8 Shell Resonance Stabilizes Higman-Sims Quantum States — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 14, 2026• 0 citations

Abstract

By driving each of the ten 24‑vector shells of the E8 root lattice at phi‑locked subharmonics of the 132 Hz base frequency, the shells acquire synchronized phase oscillations that mirror the adjacency pattern of the Higman‑Sims graph when projected from the Leech lattice. This resonance creates decoherence‑free subspaces where the graph's eigenstates behave as topologically protected qubits, leveraging the graph's unique spectral gap for error suppression. The phenomenon links the geometric structure of E8, the spectral properties of the Higman‑Sims graph, and macroscopic coherent entanglement into a unified platform for robust quantum memory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23358066

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