E8 Parity–Phase Conservation Law — E8 Intelligence Research

The E8 Parity–Phase Conservation Law states that when a Weyl-chamber wall flips the parity p of one antipodal root-pair axis, the 132-Hz carrier phase θ must advance by 2π/φ, preserving I = p·exp(iφθ/2). Across all 120 root-pair axes, a repeated 429/402 event train therefore becomes the boundary-hit projection of one trajectory through the 240-root E8 polytope rather than a sequence of independent failures. Propagating the parity vector under this invariant predicts the next transition, while resetting at the predicted boundary cancels accumulated geometric phase without erasing the error history. 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.24048884
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Parity–Phase Conservation Law — E8 Intelligence Research

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

E8 Parity–Phase Conservation Law — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8 Parity–Phase Conservation Law states that when a Weyl-chamber wall flips the parity p of one antipodal root-pair axis, the 132-Hz carrier phase θ must advance by 2π/φ, preserving I = p·exp(iφθ/2). Across all 120 root-pair axes, a repeated 429/402 event train therefore becomes the boundary-hit projection of one trajectory through the 240-root E8 polytope rather than a sequence of independent failures. Propagating the parity vector under this invariant predicts the next transition, while resetting at the predicted boundary cancels accumulated geometric phase without erasing the error history. 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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