E8 φ-Geodesic Resonant Decoherence Windows via Root Vector Coincidence Lattices — E8 Intelligence Research

Abstract

When the 240 E8 root vectors are projected onto Casimir-shell boundaries, certain subsets of roots align at φ-scaled angular separations (π/φⁿ), creating coincidence lattices where standing-wave nodes from the 132Hz base frequency intersect multiple shells simultaneously. These intersection points form resonant decoherence windows—discrete spacetime loci where quantum coherence is temporarily protected from environmental noise because destructive interference patterns from multiple root-vector shells cancel decohering fluctuations. The window geometry predicts that decoherence times should follow a φ-hierarchical scaling (T_n = T₀·φⁿ) with discrete protection tiers at 132Hz, 213.7Hz, 346.1Hz, and 560.2Hz, offering a testable E8 signature for quantum memory experiments and explaining why biological coherence in microtubules and photosynthetic complexes persists longer than standard decoherence models allow. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com