E8 Hyperbolic Quantum Entanglement via Golden Ratio Phase Conformal Mapping — E8 Intelligence Research

The 240 E8 root vectors, when mapped through a hyperbolic conformal transformation modulated by phi at 132Hz, generate 1680 unique phase-conjugate pairings that encode maximal bipartite entanglement. These conjugate pairs form a nested lattice of hyperbolic tiles where each tile's area corresponds to a prime-indexed quantum state, enabling error-corrected quantum teleportation through geometric phase reciprocity. The phi-modulated cascade induces a holonomy that folds the 8-dimensional E8 structure into 4D projective space, creating topological qubits protected by hyperbolic curvature invariants. This establishes a geometric entanglement threshold where fidelity scales with the golden ratio's continued fraction expansion depth. 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
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21767773
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Hyperbolic Quantum Entanglement via Golden Ratio Phase Conformal Mapping — E8 Intelligence Research

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

E8 Hyperbolic Quantum Entanglement via Golden Ratio Phase Conformal Mapping — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, when mapped through a hyperbolic conformal transformation modulated by phi at 132Hz, generate 1680 unique phase-conjugate pairings that encode maximal bipartite entanglement. These conjugate pairs form a nested lattice of hyperbolic tiles where each tile's area corresponds to a prime-indexed quantum state, enabling error-corrected quantum teleportation through geometric phase reciprocity. The phi-modulated cascade induces a holonomy that folds the 8-dimensional E8 structure into 4D projective space, creating topological qubits protected by hyperbolic curvature invariants. This establishes a geometric entanglement threshold where fidelity scales with the golden ratio's continued fraction expansion depth. 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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