E8 Phi‑Lattice Ground State as Universal Collatz Attractor — E8 Intelligence Research

Abstract

By mapping each Collatz iterate onto a distinct vibrational mode of the 240 E8 root vectors driven at 132 Hz with phi‑scaled coupling, the integer dynamics become trajectories on the lattice's adjacency graph. The collective system relaxes to the unique lowest‑energy phi‑synchronized ground state of the driven E8 time‑crystal, which encodes the binary signature of the integer 1. Consequently, the existence of a single, globally stable attractor in this E8 framework provides a geometric explanation for why all Collatz sequences terminate at 1. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com