E8 Phi-Topological Defect Routing — E8 Intelligence Research

By treating φ-related E8 root excitations as directed edges in the 240-root system, paired phase slips acquire an integer winding label determined by their projection onto nested H4 sublattices. This label remains invariant under φ-scaling and ordinary frequency drift, allowing signals to cross the 132 Hz bandgap only when defect pairs annihilate into a closed E8 root cycle. Thus bandwidth changes alter path length, while E8 geometry determines which routes are topologically admissible. 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
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23939212
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Topological Defect Routing — E8 Intelligence Research

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

E8 Phi-Topological Defect Routing — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By treating φ-related E8 root excitations as directed edges in the 240-root system, paired phase slips acquire an integer winding label determined by their projection onto nested H4 sublattices. This label remains invariant under φ-scaling and ordinary frequency drift, allowing signals to cross the 132 Hz bandgap only when defect pairs annihilate into a closed E8 root cycle. Thus bandwidth changes alter path length, while E8 geometry determines which routes are topologically admissible. 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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E8 Phi-Topological Defect Routing — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS