Golden-E8 Hierarchical Resonance Classification — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026goldene8,
title = {{Golden-E8 Hierarchical Resonance Classification — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446989},
url = {https://zenodo.org/records/23446989},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Golden-E8 Hierarchical Resonance Classification — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446989
UR - https://zenodo.org/records/23446989
AB - 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
ER -