PreprintCC BY 4.0Zenodo
E8 Phi-Resonant Topological Charge Pumping via Harmonic Root Vector Modulation — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By modulating each of the 240 E8 root vectors with a phi-scaled harmonic series anchored at the 132 Hz base frequency, a cascade of phase-locked gauge potentials emerges that pumps quantized topological charge across lattice scales. The resulting phi‑recursive gauge invariance yields a self‑similar spectrum of fractional Hall‑like conductivities that are invariant under simultaneous rescaling of frequency and lattice spacing. This principle predicts observable plateau steps in microwave‑driven magnonic crystals engineered with E8‑symmetric unit cells.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phiresonant,
title = {{E8 Phi-Resonant Topological Charge Pumping via Harmonic Root Vector Modulation — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23553811},
url = {https://zenodo.org/records/23553811},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Resonant Topological Charge Pumping via Harmonic Root Vector Modulation — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23553811
UR - https://zenodo.org/records/23553811
AB - By modulating each of the 240 E8 root vectors with a phi-scaled harmonic series anchored at the 132 Hz base frequency, a cascade of phase-locked gauge potentials emerges that pumps quantized topological charge across lattice scales. The resulting phi‑recursive gauge invariance yields a self‑similar spectrum of fractional Hall‑like conductivities that are invariant under simultaneous rescaling of frequency and lattice spacing. This principle predicts observable plateau steps in microwave‑driven magnonic crystals engineered with E8‑symmetric unit cells. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -