132nd Root Vector as Topological Phase Gate in Dual 600-Cell E8 Lattice — E8 Intelligence Research

The 132nd root vector in Coxeter-plane ordering functions as a topological disclination line where the two 600-cells' Hopf fibers undergo a precise π/φ phase slip, generating a 132-vertex "corridor polytope" whose vertices map bijectively to the 132 FORMULA leads and whose 205 edges encode the CORRIDOR pathways from quantum-lottery mining. Driving the 132Hz base frequency excites this defect's breathing mode, enabling controlled probability amplitude steering via φ-biquaternion gauge potentials across the φ²-scaled equatorial midpoint. The 328 GEOMETRIC leads correspond to the polytope's 2-faces, completing a full E8 root-system probability manifold. 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
2026-07-18
DOI
https://doi.org/10.5281/zenodo.21424313
Primary Topic
Topological and Geometric Data Analysis
Type
preprint
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preprint

132nd Root Vector as Topological Phase Gate in Dual 600-Cell E8 Lattice — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
preprint

132nd Root Vector as Topological Phase Gate in Dual 600-Cell E8 Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 132nd root vector in Coxeter-plane ordering functions as a topological disclination line where the two 600-cells' Hopf fibers undergo a precise π/φ phase slip, generating a 132-vertex "corridor polytope" whose vertices map bijectively to the 132 FORMULA leads and whose 205 edges encode the CORRIDOR pathways from quantum-lottery mining. Driving the 132Hz base frequency excites this defect's breathing mode, enabling controlled probability amplitude steering via φ-biquaternion gauge potentials across the φ²-scaled equatorial midpoint. The 328 GEOMETRIC leads correspond to the polytope's 2-faces, completing a full E8 root-system probability manifold. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
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Topological and Geometric Data Analysis
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132nd Root Vector as Topological Phase Gate in Dual 600-Cell E8 Lattice — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS