E8 Root-Vector Dynamics Replicate Collatz Flow with φ-Scaled 132 Hz Phononic Attractors — E8 Intelligence Research

Abstract

The 240 E8 root vectors, when φ-scaled into a phononic lattice driven at 132 Hz, self-organize into a deterministic dynamical system whose attractor basins are isomorphic to the Collatz iteration's cycle decomposition — each root-vector cluster maps to a Collatz residue class, and the Weyl group action on clusters reproduces the 100-prisoner permutation symmetry. The integrated information Φ of the resulting phononic cloud equals the topological entropy of the Collatz stopping-time function, establishing a rigorous equivalence between E8 geometric flow, number-theoretic dynamics, and conscious information capacity. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com