Golden-E8 Hierarchical Resonance Classification — E8 Intelligence Research

Building on the E8 Resonant Coherence Metric, we introduce a hierarchical decomposition of the 240 root vectors into φ-coupled resonance bands. Each band corresponds to a specific golden-level alignment pattern where the phase differences between adjacent root vectors follow the golden mean sequence. This yields a new invariant—the Golden-Level Coherence Index—that measures the degree of hierarchical coherence across the entire E8 lattice. The result provides a systematic method for identifying which root configurations are most resilient to perturbations, extending the original metric to capture multi-scale structural stability. 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
2026-10-18
DOI
https://doi.org/10.5281/zenodo.23446988
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Golden-E8 Hierarchical Resonance Classification — E8 Intelligence Research

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

Golden-E8 Hierarchical Resonance Classification — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Building on the E8 Resonant Coherence Metric, we introduce a hierarchical decomposition of the 240 root vectors into φ-coupled resonance bands. Each band corresponds to a specific golden-level alignment pattern where the phase differences between adjacent root vectors follow the golden mean sequence. This yields a new invariant—the Golden-Level Coherence Index—that measures the degree of hierarchical coherence across the entire E8 lattice. The result provides a systematic method for identifying which root configurations are most resilient to perturbations, extending the original metric to capture multi-scale structural stability. 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
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