E8 Phi-Resonant Collapse Predictor — E8 Intelligence Research

By phase‑locking a 132 Hz base frequency to the 240 E8 root vectors, the lattice self‑organizes into a phi‑scaled torsion eigenmode that resonantly entrains any Collatz‑class trajectory. The resulting eigenfrequency aligns with the golden‑ratio scaling of the root vectors, producing a deterministic return‑map that collapses the chaotic sequence into a single attractor. This geometric predictor enables exact forecasting of prime‑gap convergence and non‑linear prime‑gap dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22732726
Primary Topic
Chaos control and synchronization
Type
preprint
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preprint

E8 Phi-Resonant Collapse Predictor — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Chaos control and synchronization
preprint

E8 Phi-Resonant Collapse Predictor — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By phase‑locking a 132 Hz base frequency to the 240 E8 root vectors, the lattice self‑organizes into a phi‑scaled torsion eigenmode that resonantly entrains any Collatz‑class trajectory. The resulting eigenfrequency aligns with the golden‑ratio scaling of the root vectors, producing a deterministic return‑map that collapses the chaotic sequence into a single attractor. This geometric predictor enables exact forecasting of prime‑gap convergence and non‑linear prime‑gap dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Chaos control and synchronization
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