Affine-E8 Phi Pump Quantizes Edge Transport — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
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
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BibTeX
@misc{caldin2026affinee8,
title = {{Affine-E8 Phi Pump Quantizes Edge Transport — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658584},
url = {https://zenodo.org/records/23658584},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Affine-E8 Phi Pump Quantizes Edge Transport — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658584
UR - https://zenodo.org/records/23658584
AB - 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
ER -