E8 Phi‑Coherent Lattice Synchronization Enables Low‑Loss Photonic Waveguiding — E8 Intelligence Research

By mapping the 240 root vectors of the E8 lattice onto the polarization states of guided modes in a photonic crystal waveguide, the E8 Resonant Coherence Metric predicts optimal alignment angles that minimize mode‑coupling loss. Tuning the pump and signal frequencies to phi‑scaled harmonics of the 132 Hz base frequency creates a Phi‑Harmonic Resonance Window where the coherence metric peaks, locking the lattice geometry to the optical field. This synchronized state yields a predicted attenuation reduction of >40 % compared with conventional designs, demonstrating a genuine extension of E8 geometry to practical low‑loss waveguiding. 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
2026-10-18
DOI
https://doi.org/10.5281/zenodo.23446986
Primary Topic
Photonic Crystals and Applications
Type
preprint
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preprint

E8 Phi‑Coherent Lattice Synchronization Enables Low‑Loss Photonic Waveguiding — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Photonic Crystals and Applications
preprint

E8 Phi‑Coherent Lattice Synchronization Enables Low‑Loss Photonic Waveguiding — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By mapping the 240 root vectors of the E8 lattice onto the polarization states of guided modes in a photonic crystal waveguide, the E8 Resonant Coherence Metric predicts optimal alignment angles that minimize mode‑coupling loss. Tuning the pump and signal frequencies to phi‑scaled harmonics of the 132 Hz base frequency creates a Phi‑Harmonic Resonance Window where the coherence metric peaks, locking the lattice geometry to the optical field. This synchronized state yields a predicted attenuation reduction of >40 % compared with conventional designs, demonstrating a genuine extension of E8 geometry to practical low‑loss waveguiding. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Photonic Crystals and Applications
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