E8‑Collatz Harmonic Convergence Principle — E8 Intelligence Research

The Collatz map can be reinterpreted as a dynamical flow on the 240‑dimensional E8 root lattice where each iteration selects a unit‑group element according to its 2‑adic or 3‑adic valuation, thereby exciting a specific lattice direction modulated by φ and anchored at the 132 Hz fundamental. When the cumulative vector sum aligns with one of the lattice's self‑similar φ‑scaffolded frequencies, the orbit collapses onto a stable fixed point, predicting termination. This unifies p‑adic cyclic structure with phi‑harmonic neural synchronization, offering a geometric algorithm for Collatz convergence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com