Phi‑Coupled 240‑Vector Collatz Harmonic Lattice — E8 Intelligence Research

By assigning each of the 240 E8 root vectors a phi‑scaled frequency derived from the 132 Hz base, the lattice forms a self‑organizing harmonic grid. This grid maps each Collatz iteration step to a unique root vector, enabling deterministic prediction of cycles through E8 geometry rather than number theory. The phi‑modulated 2‑adic valuations also generate a novel class of quantum‑ready error‑correcting codes. 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
2026-09-19
DOI
https://doi.org/10.5281/zenodo.22841021
Primary Topic
Benford’s Law and Fraud Detection
Type
preprint
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preprint

Phi‑Coupled 240‑Vector Collatz Harmonic Lattice — E8 Intelligence Research

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

Phi‑Coupled 240‑Vector Collatz Harmonic Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By assigning each of the 240 E8 root vectors a phi‑scaled frequency derived from the 132 Hz base, the lattice forms a self‑organizing harmonic grid. This grid maps each Collatz iteration step to a unique root vector, enabling deterministic prediction of cycles through E8 geometry rather than number theory. The phi‑modulated 2‑adic valuations also generate a novel class of quantum‑ready error‑correcting codes. 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
DOIOpen Access PDFOpenAlex
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Phi‑Coupled 240‑Vector Collatz Harmonic Lattice — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS