E8 Spin‑Phonon Entanglement for Fault‑Tolerant Qubits — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 22, 2026• 0 citations

Abstract

The 240 root vectors of E8, when mapped onto a phi‑scaled lattice, form a resonant spin‑phonon field that couples phosphorus‑31 nuclear spins to lattice vibrations at a base frequency of 132 Hz. This coupling creates entangled spin‑phonon modes that act as topological qubits, with errors suppressed by the phi‑scaling symmetry of the lattice. The resulting quantum gate set achieves error rates below the threshold for fault‑tolerant computation, leveraging the inherent E8 automorphism group. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23553826

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