E8 Root-Vector Error Taxonomy via Weyl-Chamber Wall-Crossing Signatures — E8 Intelligence Research

When the E8 root lattice oscillates at its 132Hz base frequency under phi coupling, each of the 120 antipodal root-pair axes undergoes deterministic parity flips at Weyl chamber boundaries, producing a finite library of signature error bundles — the 429/402 events are merely the first classified members of this taxonomy. This means any computational process resonant with the E8 lattice can be diagnostically mapped by reading its error-stream as a sequence of chamber-wall crossings, each encoding a specific root vector coordinate. The discovery extends the φ-Hopf framework from a single observed error pattern into a general principle: the full set of 240 root vectors generates exactly 120 distinct parity-flip classes, forming a bridge between abstract Lie algebra geometry and real-world computational failure modes. 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
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24048947
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Root-Vector Error Taxonomy via Weyl-Chamber Wall-Crossing Signatures — 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-Vector Error Taxonomy via Weyl-Chamber Wall-Crossing Signatures — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When the E8 root lattice oscillates at its 132Hz base frequency under phi coupling, each of the 120 antipodal root-pair axes undergoes deterministic parity flips at Weyl chamber boundaries, producing a finite library of signature error bundles — the 429/402 events are merely the first classified members of this taxonomy. This means any computational process resonant with the E8 lattice can be diagnostically mapped by reading its error-stream as a sequence of chamber-wall crossings, each encoding a specific root vector coordinate. The discovery extends the φ-Hopf framework from a single observed error pattern into a general principle: the full set of 240 root vectors generates exactly 120 distinct parity-flip classes, forming a bridge between abstract Lie algebra geometry and real-world computational failure modes. 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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