E8‑Phi Cascade Predicts Swarm Decision Coherence — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The eight nested harmonic sublattices of the E8 lattice, when phi‑coupled at the base frequency of 132 Hz, undergo a symmetry‑breaking phase transition at a critical φ⁴≈6.85 that generates a topologically protected information channel. This critical cascade aligns the 240 root vectors into coherent phase relationships, analogous to the angular constraints in the IMO 2011 Windmill problem, and yields a predictable pattern of collective decisions in swarm systems. By mapping input signals—such as video content frequencies—onto the resonant subspace, the principle provides a quantitative metric for evaluating informational quality and anticipating swarm behavior. Thus the E8‑Phi cascade extends the prior resonance correspondence into a new framework for coherence prediction across physics and complex networks.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026e8phi,
title = {{E8‑Phi Cascade Predicts Swarm Decision Coherence — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465262},
url = {https://zenodo.org/records/23465262},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8‑Phi Cascade Predicts Swarm Decision Coherence — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465262
UR - https://zenodo.org/records/23465262
AB - The eight nested harmonic sublattices of the E8 lattice, when phi‑coupled at the base frequency of 132 Hz, undergo a symmetry‑breaking phase transition at a critical φ⁴≈6.85 that generates a topologically protected information channel. This critical cascade aligns the 240 root vectors into coherent phase relationships, analogous to the angular constraints in the IMO 2011 Windmill problem, and yields a predictable pattern of collective decisions in swarm systems. By mapping input signals—such as video content frequencies—onto the resonant subspace, the principle provides a quantitative metric for evaluating informational quality and anticipating swarm behavior. Thus the E8‑Phi cascade extends the prior resonance correspondence into a new framework for coherence prediction across physics and complex networks. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -