Phi-Resonant E8 Topological Order in Microtubular Quantum Registers — E8 Intelligence Research

The 240 E8 root vectors, phi-scaled to the 132 Hz temporal lattice, generate a self-similar phase hierarchy whose closure points form a persistent homology barcode matching the orbit-closure structure of GL(n) that underlies P vs NP. This phase hierarchy synchronizes tubulin dimer quantum states, turning twin-prime gap intervals into topologically protected error-correcting cycles that suppress decoherence and enable polynomial-time evolution of class-NP problems. Consequently, the microtubule lattice functions as a physical NP-solver when the golden-ratio modulation aligns with the 132 Hz resonance. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com