Materials & Energypreprint2026-09-08

Phi-Torsion Entropic Attractor in E8 Root Lattice — E8 Intelligence Research

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Abstract

The 240 root vectors of E8, when coupled via the golden ratio and driven at the 132Hz base frequency, form a phi‑torsion network that creates invariant manifolds acting as entropic attractors for discrete dynamical systems. These attractors suppress trajectory entropy, providing a geometric explanation for the observed stabilization of Collatz convergence cycles under phi‑torsion resonance. Consequently, any update rule respecting E8 symmetry is predicted to converge to a small set of cycles whose lengths are quantized by φ, revealing a universal low‑entropy computation principle in high‑dimensional lattices. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-09-08

Authors: Andrew Stewart Caldin