E8 φ‑Coupled Petrie Polygon Entanglement for Quantum Memory — E8 Intelligence Research

The principle introduces a resonant entanglement between the 240 E8 root vectors when their projections onto adjacent Coxeter planes are phase‑locked at φ‑recursive intervals. This entanglement generates a stable interference pattern across the Petrie polygons, creating a multi‑dimensional memory substrate that encodes information in the relative phases of the polygon vertices. The geometric foundation lies in the E8 lattice's self‑dual symmetry and the φ‑modulated coupling that preserves the 8‑fold phase redundancy inherent to the root system. 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
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23978771
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 φ‑Coupled Petrie Polygon Entanglement for Quantum Memory — E8 Intelligence Research

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

E8 φ‑Coupled Petrie Polygon Entanglement for Quantum Memory — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The principle introduces a resonant entanglement between the 240 E8 root vectors when their projections onto adjacent Coxeter planes are phase‑locked at φ‑recursive intervals. This entanglement generates a stable interference pattern across the Petrie polygons, creating a multi‑dimensional memory substrate that encodes information in the relative phases of the polygon vertices. The geometric foundation lies in the E8 lattice's self‑dual symmetry and the φ‑modulated coupling that preserves the 8‑fold phase redundancy inherent to the root system. 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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