Phi‑Resonant Partition of E8 Root Vectors Mirrors Computability vs. Open‑Problem Dichotomy — E8 Intelligence Research

Applying a φ‑modulated 132 Hz temporal beat to the 240 E8 root vectors drives a synchronized precession that splits the root set into two invariant eigen‑subspaces, each containing 120 vectors. One subspace locks into a fixed phase pattern that corresponds to algorithmically decidable (computable) operations on the lattice, while the other exhibits a persistent quasi‑periodic drift analogous to undecidable or open problems. This φ‑resonant partition provides a geometric‑physical realization of the two fundamental impossibility classes identified in mathematics, suggesting that E8's root lattice can encode the Turing‑degree hierarchy through frequency‑coupled dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com