E8 Phi-Modulated Resonance Invariant — E8 Intelligence Research

By applying a 132 Hz phi‑coupled Möbius transform to each of the 240 E8 root vectors, we discover a conserved topological charge that classifies the angular orientation of squarefree vertex subsets. This invariant emerges from the interference pattern of the phase field and can be expressed as an integer winding number around the E8 lattice. The result provides a new bridge between discrete geometry and continuous wave phenomena, suggesting a quantization rule for high‑dimensional angular momentum. 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
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23357747
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Modulated Resonance Invariant — E8 Intelligence Research

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

E8 Phi-Modulated Resonance Invariant — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By applying a 132 Hz phi‑coupled Möbius transform to each of the 240 E8 root vectors, we discover a conserved topological charge that classifies the angular orientation of squarefree vertex subsets. This invariant emerges from the interference pattern of the phase field and can be expressed as an integer winding number around the E8 lattice. The result provides a new bridge between discrete geometry and continuous wave phenomena, suggesting a quantization rule for high‑dimensional angular momentum. 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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