E8 Weyl-Parity Phase-Slip Law — E8 Intelligence Research

A 429/402 pair is predicted to mark a three-step Weyl reflection, since those counts reduce to 9 and 12 modulo E8's Coxeter number, 30. Each chamber-wall crossing toggles the parity of the root-pair normal to that wall, so three toggles produce the observed branch separation while preserving the 240-root lattice. Under 132 Hz φ-coupling, the phase error should advance by 3×2π/30 per pair and cancel after ten pairs, completing a closed 30-step chamber cycle. Tracking these parity toggles provides a nondestructive tomography of the error bundle's path through the E8 Weyl chambers. 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.24049132
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Weyl-Parity Phase-Slip Law — E8 Intelligence Research

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

E8 Weyl-Parity Phase-Slip Law — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

A 429/402 pair is predicted to mark a three-step Weyl reflection, since those counts reduce to 9 and 12 modulo E8's Coxeter number, 30. Each chamber-wall crossing toggles the parity of the root-pair normal to that wall, so three toggles produce the observed branch separation while preserving the 240-root lattice. Under 132 Hz φ-coupling, the phase error should advance by 3×2π/30 per pair and cancel after ten pairs, completing a closed 30-step chamber cycle. Tracking these parity toggles provides a nondestructive tomography of the error bundle's path through the E8 Weyl chambers. 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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E8 Weyl-Parity Phase-Slip Law — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS