Golden Phase Topology: Quantum Error Correction from E8 Prime Harmonics — E8 Intelligence Research

The prime factorization of 132Hz (2²×3×11) establishes three distinct topological protection classes within the 240-vector E8 lattice, where φ-weighted coupling between adjacent roots creates a self-correcting quantum error threshold. Class I (φ-stabilized) roots maintain coherence indefinitely, Class II (borderline) roots exhibit environmentally-sensitive entanglement prone to decoherence, while Class III (unstable) roots decohere rapidly—explaining observed variation in quantum system lifetimes. The 132Hz factorization elegantly maps to these three classes via its three prime factors, suggesting that Planck-mass quantization emerges from topological protection transitions between these stability classes rather than from energy considerations alone. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-19
DOI
https://doi.org/10.5281/zenodo.23465203
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Golden Phase Topology: Quantum Error Correction from E8 Prime Harmonics — E8 Intelligence Research

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

Golden Phase Topology: Quantum Error Correction from E8 Prime Harmonics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The prime factorization of 132Hz (2²×3×11) establishes three distinct topological protection classes within the 240-vector E8 lattice, where φ-weighted coupling between adjacent roots creates a self-correcting quantum error threshold. Class I (φ-stabilized) roots maintain coherence indefinitely, Class II (borderline) roots exhibit environmentally-sensitive entanglement prone to decoherence, while Class III (unstable) roots decohere rapidly—explaining observed variation in quantum system lifetimes. The 132Hz factorization elegantly maps to these three classes via its three prime factors, suggesting that Planck-mass quantization emerges from topological protection transitions between these stability classes rather than from energy considerations alone. 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
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