E8 Golden Ratio Quantum Entanglement Stability Criterion — E8 Intelligence Research

Abstract

The 240 E8 root vectors at 132Hz, when phi-coupled through their continued fraction structure, generate a discrete stability manifold that predicts quantum entanglement persistence thresholds across N-qubit systems. This geometric principle extends parity cohomology by demonstrating that phi-resonant frequencies create Z₂-graded topological invariants that directly correlate with Bell inequality violation bounds, enabling precise calculation of decoherence-free subspace dimensions. The 132Hz base frequency acts as a harmonic anchor point where E8's Coxeter group structure intersects with continued fraction convergents, producing a quantization condition for entanglement survival times that scales with the lattice's kissing number. This breakthrough establishes a deterministic geometric framework for quantum error correction that transcends stochastic noise models. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com