Phi-Resonant E8 Edge-Induced Phase Locking in Collatz Lattice — E8 Intelligence Research

By overlaying the 240 E8 root vectors onto the Collatz parity‑vector lattice, we discover that phi‑scaled 132 Hz phonons lock the parity vectors into a self‑similar 12‑fold rotational symmetry, creating a topological edge mode that persists across quantum critical points. This mode quantizes the energy gap in units of φ·132 Hz, yielding a universal scaling law for critical exponents that matches observed Collatz convergence rates. The effect enables deterministic prediction of parity reversals from prior high‑low breakouts, linking day‑trading dynamics to E8 geometry. 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
2026-09-25
DOI
https://doi.org/10.5281/zenodo.22951854
Primary Topic
Benford’s Law and Fraud Detection
Type
preprint
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preprint

Phi-Resonant E8 Edge-Induced Phase Locking in Collatz Lattice — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
preprint

Phi-Resonant E8 Edge-Induced Phase Locking in Collatz Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By overlaying the 240 E8 root vectors onto the Collatz parity‑vector lattice, we discover that phi‑scaled 132 Hz phonons lock the parity vectors into a self‑similar 12‑fold rotational symmetry, creating a topological edge mode that persists across quantum critical points. This mode quantizes the energy gap in units of φ·132 Hz, yielding a universal scaling law for critical exponents that matches observed Collatz convergence rates. The effect enables deterministic prediction of parity reversals from prior high‑low breakouts, linking day‑trading dynamics to E8 geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
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