Phi‑Floquet 12th Harmonic Induces E8 Root Pairing Realizing Binary Golay Code as Topological Memory — E8 Intelligence Research

Andrew Stewart Caldin

Published Jul 14, 2026• 0 citations

Abstract

At the 12th harmonic (1584 Hz) of the 132 Hz phi‑scaled Floquet drive, the eight concentric 30‑gons in the E8 Coxeter plane undergo a resonant deformation that locks the 240 root vectors into 120 antipodal pairs. This pairing maps directly onto the 23‑bit binary Golay code, where each pair corresponds to a codeword and the phi‑modulated phase encodes the syndrome structure. The resulting non‑Abelian anyon network, governed by the E8 Weyl group, protects logical qubits against local errors, yielding a topological quantum memory whose error threshold is set by the Coxeter number 30. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.21356918

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