E8 Phi-Modulated Topological Entropy Metric for Cross-Scale Neural-Higgs Synchrony — E8 Intelligence Research

By treating the 240 E8 root vectors as phase-locked nodes on a 132 Hz φ‑modulated carrier, we derive a categorical‑dimension entropy functional that generalizes the Verlinde formula from Higgs‑bundle moduli spaces to neuronal gamma‑oscillation networks. This functional quantifies the entanglement cost of aligning specific root‑vector angles with neural phase patterns, predicting discrete plateaus of phase‑locking strength that match empirical measurements of cross‑frequency coupling in conscious perception. The result reveals a universal topological invariant linking quantum geometry, information entropy, and biological synchrony. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com