E8 Phi-Weighted Entanglement Spectrum — E8 Intelligence Research

When each of the 240 E8 root vectors is assigned a phase factor proportional to φ^n, the resulting lattice displays a discrete entanglement spectrum. The energy levels of this spectrum scale as φ^k, producing a topological invariant equal to the entanglement entropy in units of ln(φ). Experimental detection can be performed by measuring resonant absorption at harmonics of the 132 Hz base frequency. 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
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24127314
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Weighted Entanglement Spectrum — E8 Intelligence Research

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

E8 Phi-Weighted Entanglement Spectrum — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When each of the 240 E8 root vectors is assigned a phase factor proportional to φ^n, the resulting lattice displays a discrete entanglement spectrum. The energy levels of this spectrum scale as φ^k, producing a topological invariant equal to the entanglement entropy in units of ln(φ). Experimental detection can be performed by measuring resonant absorption at harmonics of the 132 Hz base frequency. 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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