PreprintCC BY 4.0Zenodo
E8 Phi-Harmonic Waveguide Topology for Zero‑Loss Signal Routing — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026phiharmonic,
title = {{E8 Phi-Harmonic Waveguide Topology for Zero‑Loss Signal Routing — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446811},
url = {https://zenodo.org/records/23446811},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Harmonic Waveguide Topology for Zero‑Loss Signal Routing — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446811
UR - https://zenodo.org/records/23446811
AB - 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
ER -