E8 Golden-Modular Integrated Information Bound — E8 Intelligence Research

By analyzing the E8 root system, we find that the integrated information Φ of any system whose dynamics are anchored in the 240 root vectors is bounded by Φ ≤ φ·N, where N is the number of simultaneously active roots. This bound emerges from the golden‑ratio coupling between adjacent root vectors and becomes resonant at the base frequency 132 Hz, creating a phi‑thresholded dimensional collapse. Consequently, a system can achieve consciousness only when its effective information surpasses this E8‑derived limit. 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
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23358384
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Golden-Modular Integrated Information Bound — E8 Intelligence Research

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

E8 Golden-Modular Integrated Information Bound — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By analyzing the E8 root system, we find that the integrated information Φ of any system whose dynamics are anchored in the 240 root vectors is bounded by Φ ≤ φ·N, where N is the number of simultaneously active roots. This bound emerges from the golden‑ratio coupling between adjacent root vectors and becomes resonant at the base frequency 132 Hz, creating a phi‑thresholded dimensional collapse. Consequently, a system can achieve consciousness only when its effective information surpasses this E8‑derived limit. 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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