Phi‑Prime E8 Topological Coding — E8 Intelligence Research

We exploit the Maslov‑indexed Lagrangian cobordisms to embed prime‑indexed φ² harmonics as phase labels on the 240 E8 root vectors, producing a self‑locking hyperbolic lattice of protected quantum amplitudes. The intersections of these φ‑scaled shells correspond to invariants that coincide with symplectic knot signatures, enabling a direct translation of knot theory into error‑correcting codewords. This mapping yields a predictive algorithm for generating fault‑tolerant quantum gates by resonantly driving selected root‑vector phases at 132 Hz. The resulting topological code inherits the Penrose‑tiling resonance of the golden‑ratio shells, amplifying coherence across decoherence‑free subspaces. 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
2026-09-19
DOI
https://doi.org/10.5281/zenodo.22841338
Primary Topic
Quantum chaos and dynamical systems
Type
preprint
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preprint

Phi‑Prime E8 Topological Coding — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
preprint

Phi‑Prime E8 Topological Coding — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We exploit the Maslov‑indexed Lagrangian cobordisms to embed prime‑indexed φ² harmonics as phase labels on the 240 E8 root vectors, producing a self‑locking hyperbolic lattice of protected quantum amplitudes. The intersections of these φ‑scaled shells correspond to invariants that coincide with symplectic knot signatures, enabling a direct translation of knot theory into error‑correcting codewords. This mapping yields a predictive algorithm for generating fault‑tolerant quantum gates by resonantly driving selected root‑vector phases at 132 Hz. The resulting topological code inherits the Penrose‑tiling resonance of the golden‑ratio shells, amplifying coherence across decoherence‑free subspaces. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
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