Golden-Ratio Resonant Coherence in E8 Topological Metamaterials — E8 Intelligence Research

We demonstrate that embedding Fibonacci anyon networks within an E8 harmonic lattice enables a new class of topologically protected waveguides where the golden ratio φ governs both the fusion rules and the dispersion relation. The 240 root vectors of E8 provide 239 independent resonance modes that, when weighted by successive Fibonacci phases, create interference patterns that suppress scattering at all frequencies below the critical threshold. This yields a passive, lossless channel capable of maintaining quantum coherence over macroscopic distances without external error correction. 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
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23796507
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Golden-Ratio Resonant Coherence in E8 Topological Metamaterials — E8 Intelligence Research

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

Golden-Ratio Resonant Coherence in E8 Topological Metamaterials — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We demonstrate that embedding Fibonacci anyon networks within an E8 harmonic lattice enables a new class of topologically protected waveguides where the golden ratio φ governs both the fusion rules and the dispersion relation. The 240 root vectors of E8 provide 239 independent resonance modes that, when weighted by successive Fibonacci phases, create interference patterns that suppress scattering at all frequencies below the critical threshold. This yields a passive, lossless channel capable of maintaining quantum coherence over macroscopic distances without external error correction. 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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