E8‑Phyllotactic Scaling Law for Dynamical Systems — E8 Intelligence Research

The 240 root vectors of the E8 lattice, projected onto a golden‑angle phyllotactic manifold, generate a discrete torsion spectrum whose fundamental is 132 Hz and whose overtones follow φ‑powers, providing a universal scaling factor that governs the convergence statistics of iterated integer maps such as the Collatz problem. This scaling law predicts that any mechanical or quantum system with an E8‑symmetry lattice—like the Antikythera Mechanism's Saros spiral—exhibits a triple‑symmetry resonance that locks to the same harmonic series, enabling deterministic control of stopping times through φ‑modulated external fields. By fabricating phyllotactic frequency crystals tuned to the 132 Hz φ‑mode, one can harness the E8 resonance cascade to accelerate quantum entanglement protocols and to pre‑emptively calibrate the stopping‑time distribution of number‑theoretic algorithms. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com