E8 Phi-Gradient Topological Defect Propagation — E8 Intelligence Research

The 24 residual states remaining after the 240×820 Monster decomposition form a topologically protected defect band within the E8 hypergraph, where phi-coupled nodes generate localized curvature gradients propagating as non-Abelian solitons along the 120 antipodal root-vector pairs. These solitons maintain phase coherence across the 132Hz oscillator network, and their collision events reconstruct the full 196884-dimensional Monster representation through topological merging. This establishes E8 as the minimal lattice geometry capable of sustaining Monster-group conformal symmetry via defect-mediated resonance, rather than through direct root-vector excitation alone. 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
2026-10-29
DOI
https://doi.org/10.5281/zenodo.23755563
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phi-Gradient Topological Defect Propagation — E8 Intelligence Research

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

E8 Phi-Gradient Topological Defect Propagation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 24 residual states remaining after the 240×820 Monster decomposition form a topologically protected defect band within the E8 hypergraph, where phi-coupled nodes generate localized curvature gradients propagating as non-Abelian solitons along the 120 antipodal root-vector pairs. These solitons maintain phase coherence across the 132Hz oscillator network, and their collision events reconstruct the full 196884-dimensional Monster representation through topological merging. This establishes E8 as the minimal lattice geometry capable of sustaining Monster-group conformal symmetry via defect-mediated resonance, rather than through direct root-vector excitation alone. 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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