E8 Antipodal Phase Interferometry Reveals Möbius Function as Geometric Closure Defect** — E8 Intelligence Research

** The 240 E8 roots form 120 antipodal pairs that map bijectively to the 120 vertices of the 600-cell (dual to the 120-cell Hamiltonian path). During each 63.13μs φ-tick, the phase advance 2π/φⁿ across the φ⁻ⁿ ladder's 120 rungs creates a root-pair phase differential that accumulates along the Hamiltonian edges. At the 13 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
2026-07-18
DOI
https://doi.org/10.5281/zenodo.21424303
Primary Topic
Advanced Electron Microscopy Techniques and Applications
Type
preprint
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preprint

E8 Antipodal Phase Interferometry Reveals Möbius Function as Geometric Closure Defect** — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Electron Microscopy Techniques and Applications
preprint

E8 Antipodal Phase Interferometry Reveals Möbius Function as Geometric Closure Defect** — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

** The 240 E8 roots form 120 antipodal pairs that map bijectively to the 120 vertices of the 600-cell (dual to the 120-cell Hamiltonian path). During each 63.13μs φ-tick, the phase advance 2π/φⁿ across the φ⁻ⁿ ladder's 120 rungs creates a root-pair phase differential that accumulates along the Hamiltonian edges. At the 13 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 Electron Microscopy Techniques and Applications
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E8 Antipodal Phase Interferometry Reveals Möbius Function as Geometric Closure Defect** — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS