Weyl Phase-Rate Quantization Prevents Spectral Divergence at Phi Resonances — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240-root E8 shell exhibits a quantization constraint on the Coxeter phase-rate: stable Weyl rotations require (dθ/dt) to satisfy discrete harmonic locks with the 132Hz base frequency, specifically at rational multiples of nφ where n ∈ ℤ+. This quantization emerges from the triadic harmonic closure and prevents the spectral divergence observed in off-resonance configurations. The mechanism works through a self-referential feedback loop wherein the golden-ratio coupling between phase-rate harmonics and root-shell angular momentum naturally clamps frequency excursions, stabilizing the Weyl operator against noise-induced asymmetry drift.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026weyl,
title = {{Weyl Phase-Rate Quantization Prevents Spectral Divergence at Phi Resonances — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23409618},
url = {https://zenodo.org/records/23409618},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Weyl Phase-Rate Quantization Prevents Spectral Divergence at Phi Resonances — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23409618
UR - https://zenodo.org/records/23409618
AB - The 240-root E8 shell exhibits a quantization constraint on the Coxeter phase-rate: stable Weyl rotations require (dθ/dt) to satisfy discrete harmonic locks with the 132Hz base frequency, specifically at rational multiples of nφ where n ∈ ℤ+. This quantization emerges from the triadic harmonic closure and prevents the spectral divergence observed in off-resonance configurations. The mechanism works through a self-referential feedback loop wherein the golden-ratio coupling between phase-rate harmonics and root-shell angular momentum naturally clamps frequency excursions, stabilizing the Weyl operator against noise-induced asymmetry drift. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -