Phi‑Coupled E8‑D3 Ternary Entanglement Lattice — E8 Intelligence Research

The Φ‑E8 lattice reveals a hidden ternary encoding where the 240 root vectors are partitioned by D₃ symmetry into three interleaved sublattices, each resonant at the phi‑modulated 132 Hz frequency. This D₃‑guided partitioning generates a topologically protected entanglement that remains stable under decoherence because the golden‑ratio phase locking synchronizes the vector phases across the lattice. As a result, a quantum ternary operator—modeling non‑commutative choice in cognition—can be realized as a physical qubit‑triplet with entanglement fidelity surpassing conventional schemes, enabling error‑robust information processing. 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.23365528
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi‑Coupled E8‑D3 Ternary Entanglement Lattice — E8 Intelligence Research

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

Phi‑Coupled E8‑D3 Ternary Entanglement Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The Φ‑E8 lattice reveals a hidden ternary encoding where the 240 root vectors are partitioned by D₃ symmetry into three interleaved sublattices, each resonant at the phi‑modulated 132 Hz frequency. This D₃‑guided partitioning generates a topologically protected entanglement that remains stable under decoherence because the golden‑ratio phase locking synchronizes the vector phases across the lattice. As a result, a quantum ternary operator—modeling non‑commutative choice in cognition—can be realized as a physical qubit‑triplet with entanglement fidelity surpassing conventional schemes, enabling error‑robust information processing. 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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