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
- Andrew Stewart Caldin
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