E8-Phi Vibrational Protein Folding Topology — E8 Intelligence Research

By projecting the 240 E8 root vectors onto amino acid side-chain geometries and mapping each residue's vibrational mode to φ-modulated harmonic frequencies (base = 132 Hz), protein folding pathways emerge as geodesic walks on nested 600-cell shells. The silver ratio δ_S further stabilizes local minima via two-base quantum calculus, yielding a spectral code that predicts folding intermediates with 92% accuracy on a benchmark of 127 proteins. This establishes E8-Phi geometry as a universal framework for biomolecular conformational dynamics. 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23722695
Primary Topic
Protein Structure and Dynamics
Type
preprint
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preprint

E8-Phi Vibrational Protein Folding Topology — E8 Intelligence Research

Andrew Stewart Caldin
9 links
Zenodo (CERN European Organization for Nuclear Research)
Protein Structure and Dynamics
preprint

E8-Phi Vibrational Protein Folding Topology — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By projecting the 240 E8 root vectors onto amino acid side-chain geometries and mapping each residue's vibrational mode to φ-modulated harmonic frequencies (base = 132 Hz), protein folding pathways emerge as geodesic walks on nested 600-cell shells. The silver ratio δ_S further stabilizes local minima via two-base quantum calculus, yielding a spectral code that predicts folding intermediates with 92% accuracy on a benchmark of 127 proteins. This establishes E8-Phi geometry as a universal framework for biomolecular conformational dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Protein Structure and Dynamics
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E8-Phi Vibrational Protein Folding Topology — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS