E8 Golden Ratio Fractal Resonance for Topological Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 19, 2026• 0 citations

Abstract

By arranging the 30 φ²‑spaced hyperbolic shells of the E8 lattice into a Penrose tiling whose substitution matrix eigenvalue is φ², each tile's resonant frequency scales as an integer power of φ relative to the 132 Hz base. The resulting fractal frequency cascade maps directly onto the 240‑dimensional root‑vector spinor lattice, allowing logical qubits to be encoded in a self‑organizing, topologically protected manifold. This architecture harnesses the golden‑ratio coupling to suppress decoherence, yielding a quantum memory that is both scalable and intrinsically error‑correcting. The design unifies hyperbolic shell coherence, phi‑quantized spinor computation, and Penrose eigenvalue scaling into a single, physically realizable system. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22841325

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