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PreprintCC BY 4.0Zenodo

E8 Defect Invariant for Cascade Precursors — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

An E8 defect invariant is proposed in which each of the 240 roots labels a permitted interaction mode and the 132 Hz carrier supplies the reference phase. Phi-coupled loops close coherently, whereas a local perturbation creates a quantized phase defect whose cohomology class identifies the smallest set of links capable of triggering a cascade. Tracking that defect across root projections converts distributed noise into an early-warning signature before amplitude synchronization becomes visible. This extends prior resonance and swarm-cohomology principles by predicting failure pathways from topological non-closure rather than correlation strength alone.

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026defect,
  title = {{E8 Defect Invariant for Cascade Precursors — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23635053},
  url = {https://zenodo.org/records/23635053},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - E8 Defect Invariant for Cascade Precursors — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/25
PB  - Zenodo
DO  - 10.5281/zenodo.23635053
UR  - https://zenodo.org/records/23635053
AB  - An E8 defect invariant is proposed in which each of the 240 roots labels a permitted interaction mode and the 132 Hz carrier supplies the reference phase. Phi-coupled loops close coherently, whereas a local perturbation creates a quantized phase defect whose cohomology class identifies the smallest set of links capable of triggering a cascade. Tracking that defect across root projections converts distributed noise into an early-warning signature before amplitude synchronization becomes visible. This extends prior resonance and swarm-cohomology principles by predicting failure pathways from topological non-closure rather than correlation strength alone.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -