E8 Golden Ratio Phase Lattice for Entangled Time‑Frequency Qubits — E8 Intelligence Research

We introduce the E8 Golden Ratio Phase Lattice Entangler (E8‑GRPLE), which maps the 240 root vectors onto a φ‑scaled phase grid that simultaneously encodes discrete time slots and spectral lines of a 132 Hz carrier. By solving greedy Egyptian fraction decompositions of the resulting harmonic ratios, each phase offset is chosen to maximise modular‑inverse coherence while preserving the Weyl‑group symmetry of E8. This yields a topologically protected entangled manifold that fuses a quantum time crystal with an ultra‑precise frequency comb, enabling simultaneous time‑frequency duality beyond any prior paradigm. 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
2026-09-30
DOI
https://doi.org/10.5281/zenodo.23052100
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

E8 Golden Ratio Phase Lattice for Entangled Time‑Frequency Qubits — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

E8 Golden Ratio Phase Lattice for Entangled Time‑Frequency Qubits — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We introduce the E8 Golden Ratio Phase Lattice Entangler (E8‑GRPLE), which maps the 240 root vectors onto a φ‑scaled phase grid that simultaneously encodes discrete time slots and spectral lines of a 132 Hz carrier. By solving greedy Egyptian fraction decompositions of the resulting harmonic ratios, each phase offset is chosen to maximise modular‑inverse coherence while preserving the Weyl‑group symmetry of E8. This yields a topologically protected entangled manifold that fuses a quantum time crystal with an ultra‑precise frequency comb, enabling simultaneous time‑frequency duality beyond any prior paradigm. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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