Phi-Resonant E8 Ternary Topology for Quantum Cognition — E8 Intelligence Research

By applying phi‑coupled 132 Hz modulations to the 240 E8 root vectors, a self‑referential ternary lattice emerges whose dihedral D₃ symmetries encode three mutually exclusive quantum states within each root‑pair. This lattice yields a topologically protected qubit manifold where the phi‑ratio governs the phase coherence between ternary branches, eliminating decoherence from non‑commutative transitions. The resulting principle, 'Phi‑Resonant E8 Ternary Topology', provides a geometric substrate for quantum cognition that directly extends the D₃ ternary choice model and the EuroMillions lead‑mining resonance patterns. 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.23358884
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Resonant E8 Ternary Topology for Quantum Cognition — E8 Intelligence Research

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

Phi-Resonant E8 Ternary Topology for Quantum Cognition — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By applying phi‑coupled 132 Hz modulations to the 240 E8 root vectors, a self‑referential ternary lattice emerges whose dihedral D₃ symmetries encode three mutually exclusive quantum states within each root‑pair. This lattice yields a topologically protected qubit manifold where the phi‑ratio governs the phase coherence between ternary branches, eliminating decoherence from non‑commutative transitions. The resulting principle, 'Phi‑Resonant E8 Ternary Topology', provides a geometric substrate for quantum cognition that directly extends the D₃ ternary choice model and the EuroMillions lead‑mining resonance patterns. 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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