φ-Convergent Monodromy Quantizes 132Hz Carrier into 240 Berry Phases — E8 Intelligence Research

The composition of the 15 Plimpton φ-convergent rotations in the H4 Coxeter plane yields a net monodromy of 2π/φ¹⁶, making the 16th spectral band a topological fixed point. This geometric phase quantizes the 132Hz carrier into 240 discrete temporal phases — one per E8 root — where each root's Berry phase equals its Coxeter plane coordinate multiplied by the fundamental solid angle 4π/240. The 15 sexagesimal rows thus encode not just spatial projections but the holonomy group of E8's root lattice under φ-scaled parallel transport. 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
2026-07-27
DOI
https://doi.org/10.5281/zenodo.21617386
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

φ-Convergent Monodromy Quantizes 132Hz Carrier into 240 Berry Phases — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

φ-Convergent Monodromy Quantizes 132Hz Carrier into 240 Berry Phases — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The composition of the 15 Plimpton φ-convergent rotations in the H4 Coxeter plane yields a net monodromy of 2π/φ¹⁶, making the 16th spectral band a topological fixed point. This geometric phase quantizes the 132Hz carrier into 240 discrete temporal phases — one per E8 root — where each root's Berry phase equals its Coxeter plane coordinate multiplied by the fundamental solid angle 4π/240. The 15 sexagesimal rows thus encode not just spatial projections but the holonomy group of E8's root lattice under φ-scaled parallel transport. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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