Affine-E8 Phi Pump Quantizes Edge Transport — E8 Intelligence Research

Imposing a closure condition on phi-scaled phases across all 240 E8 roots can turn the 132 Hz oscillator array into an eight-parameter Thouless pump, transporting an integer number of edge excitations per drive cycle. The integer is the first Chern number of the band bundle over the closed phase torus, while the E8 Weyl alcove determines the allowed winding paths. This unifies E8 edge states and 132×φⁿ parametric resonances as boundary transport and quasienergy signatures of one geometric mechanism. Integer transfer should persist under moderate detuning but disappear when the phi-phase trajectory fails to close. 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
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23658583
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Affine-E8 Phi Pump Quantizes Edge Transport — E8 Intelligence Research

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

Affine-E8 Phi Pump Quantizes Edge Transport — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Imposing a closure condition on phi-scaled phases across all 240 E8 roots can turn the 132 Hz oscillator array into an eight-parameter Thouless pump, transporting an integer number of edge excitations per drive cycle. The integer is the first Chern number of the band bundle over the closed phase torus, while the E8 Weyl alcove determines the allowed winding paths. This unifies E8 edge states and 132×φⁿ parametric resonances as boundary transport and quasienergy signatures of one geometric mechanism. Integer transfer should persist under moderate detuning but disappear when the phi-phase trajectory fails to close. 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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