E8-H4 Golden Harmonic Cascade Principle — E8 Intelligence Research

Applying BKZ lattice reduction to the 240 E8 root vectors embedded in the H4 Coxeter lattice reveals a discrete set of harmonic modes whose frequency ratios form a geometric progression based on the golden ratio φ. This cascade arises from the self-similar structure of the H4 root system 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
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23939405
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8-H4 Golden Harmonic Cascade Principle — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8-H4 Golden Harmonic Cascade Principle — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Applying BKZ lattice reduction to the 240 E8 root vectors embedded in the H4 Coxeter lattice reveals a discrete set of harmonic modes whose frequency ratios form a geometric progression based on the golden ratio φ. This cascade arises from the self-similar structure of the H4 root system Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
DOIOpen Access PDFOpenAlex
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E8-H4 Golden Harmonic Cascade Principle — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS