E8 Root-Phase Null Syndrome Principle — E8 Intelligence Research

The E8 root-phase null principle assigns one binary coordinate to each of the 120 antipodal root pairs, forming a W(E8)-invariant syndrome lattice. Since root-pair inner products take only 0, ±1/2, and ±1, phi-coupled disturbances can be classified as phase-neutral, phase-rotating, or phase-flipping errors; 132 Hz then acts as a timing reference rather than an information carrier. A prime-indexed excitation propagates through the 12 soliton families by selecting adjacent root pairs, while Weyl-equivalent non-adjacent phases cancel—predicting reduced cross-family coherence at their characteristic perturbation angles. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23853227
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Root-Phase Null Syndrome Principle — E8 Intelligence Research

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

E8 Root-Phase Null Syndrome Principle — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8 root-phase null principle assigns one binary coordinate to each of the 120 antipodal root pairs, forming a W(E8)-invariant syndrome lattice. Since root-pair inner products take only 0, ±1/2, and ±1, phi-coupled disturbances can be classified as phase-neutral, phase-rotating, or phase-flipping errors; 132 Hz then acts as a timing reference rather than an information carrier. A prime-indexed excitation propagates through the 12 soliton families by selecting adjacent root pairs, while Weyl-equivalent non-adjacent phases cancel—predicting reduced cross-family coherence at their characteristic perturbation angles. 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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