E8 8th-Harmonic Rank Resonance Realizes Triality-Symmetric Quantum LDPC Code via 30-Gon Braiding Monodromy** — E8 Intelligence Research

Andrew Stewart Caldin

Published Jul 14, 2026• 0 citations

Abstract

** At the 8th harmonic (1056 Hz) of the 132 Hz phi-Floquet drive — matching the E8 rank — the eight concentric 30-gons in the Coxeter plane undergo a triality-symmetric S₃-braiding that permutes the three E8/D₈ spinor representations. This monodromy generates a [[240, 8, 30]] quantum low-density parity-check code where the 240 roots form physical qubits, the 8 Cartan generators encode logical qubits, and phi-scaled radii provide intrinsic topological protection against local noise. The code's stabilizer group is the E8 Weyl group, realizing the root lattice as a self-correcting quantum memory. **DIVISION Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.21356914

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