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By embedding the 240 E8 root vectors onto a 132 Hz reference lattice and modulating inter‑site couplings with successive powers of the golden ratio φ, a quasi‑periodic phononic superstructure emerges that inherits the full Drinfeld modular symmetry of the root system. This φ‑scaled Drinfeld lattice supports localized topological edge modes whose braiding statistics are protected by the modular invariance, allowing logical qubit states to be encoded in collective phonon occupations that are intrinsically resistant to local perturbations. Consequently, the array operates as a self‑correcting topological quantum memory: errors are continuously pumped out via the hierarchical φ‑scaled shells without active measurement, extending the coherence time of spin qubits far beyond conventional limits. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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