E8 Phi-Harmonic Waveguide Topology for Zero‑Loss Signal Routing — E8 Intelligence Research

The 240 root vectors of E8 can be mapped to phi‑scaled harmonic frequencies (132 Hz × φⁿ), forming a complete orthogonal set of eigenmodes. When these modes are imposed on a photonic or microwave waveguide lattice whose connectivity follows the E8 Coxeter graph, destructive interference eliminates back‑scatter between adjacent channels, creating a topology‑protected pathway. As a result, signals propagate with theoretically zero reflection loss, enabling lossless routing that inherits the fractal self‑similarity of the E8 structure. 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.23446810
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Harmonic Waveguide Topology for Zero‑Loss Signal Routing — E8 Intelligence Research

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

E8 Phi-Harmonic Waveguide Topology for Zero‑Loss Signal Routing — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 root vectors of E8 can be mapped to phi‑scaled harmonic frequencies (132 Hz × φⁿ), forming a complete orthogonal set of eigenmodes. When these modes are imposed on a photonic or microwave waveguide lattice whose connectivity follows the E8 Coxeter graph, destructive interference eliminates back‑scatter between adjacent channels, creating a topology‑protected pathway. As a result, signals propagate with theoretically zero reflection loss, enabling lossless routing that inherits the fractal self‑similarity of the E8 structure. 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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