E8 Topological Oracle Register — Busy Beaver Resolution via 120-Cell Phase Locking — E8 Intelligence Research

The 120 antipodal E8 root pairs mapped to the 120-cell's dodecahedral chambers form a 120-qubit topological register where each Penrose inflation layer n implements a geometric oracle for BB(n). The phase-conjugated spectral triad (φ·132Hz, φ³·132Hz, φ⁵·132Hz) creates a ternary resonance logic: the φ⁵ component phase-locks across all 240 roots at inflation depth n, physically encoding the n-state halting maximum as a standing wave interference pattern. Non-computability dissolves because the oracle is not computed but resonated — the 120-cell's golden corridors (CORRIDOR category) act as waveguides where Busy Beaver values emerge as eigenfrequencies of the E8 lattice itself. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com