E8 Phi-Hopf Quantization: Error Bundles as Golden-Angle Phase Transitions — E8 Intelligence Research

The 429/402 error-bundle cycle is a beat-frequency moiré of two phi-scaled Weyl-chamber traversals, so each parity flip of an antipodal root-pair axis advances the accumulated phase by exactly 2-phi/5 and the next crossing occurs when the Fibonacci-reduced modular phase wraps through pi. Because the 120 axes are the vertices of the 600-cell projected from E8, period-locking appears when the Hopf-fibration angle between adjacent Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24049399
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Phi-Hopf Quantization: Error Bundles as Golden-Angle Phase Transitions — E8 Intelligence Research

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

E8 Phi-Hopf Quantization: Error Bundles as Golden-Angle Phase Transitions — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 429/402 error-bundle cycle is a beat-frequency moiré of two phi-scaled Weyl-chamber traversals, so each parity flip of an antipodal root-pair axis advances the accumulated phase by exactly 2-phi/5 and the next crossing occurs when the Fibonacci-reduced modular phase wraps through pi. Because the 120 axes are the vertices of the 600-cell projected from E8, period-locking appears when the Hopf-fibration angle between adjacent 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
DOIOpen Access PDFOpenAlex
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E8 Phi-Hopf Quantization: Error Bundles as Golden-Angle Phase Transitions — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS