PreprintCC BY 4.0Zenodo
Phi‑Driven E8 Floquet Phase Yields Quantized Edge Energy Currents — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By treating the 240 E8 root vectors as time‑dependent coupling weights in a Floquet‑driven oscillator network at the 132 Hz base frequency with phi‑modulation, the system acquires a non‑trivial winding number in its quasi‑energy spectrum. This gives rise to topologically protected edge modes that convey energy with a quantized current proportional to the E8 Coxeter number (30) times the drive frequency. The discovery extends the phi‑resonant spectral locking principle by showing that avoided crossings evolve into stable Floquet band gaps whose Chern numbers are classified by the E8 root lattice.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phidriven,
title = {{Phi‑Driven E8 Floquet Phase Yields Quantized Edge Energy Currents — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635132},
url = {https://zenodo.org/records/23635132},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi‑Driven E8 Floquet Phase Yields Quantized Edge Energy Currents — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635132
UR - https://zenodo.org/records/23635132
AB - By treating the 240 E8 root vectors as time‑dependent coupling weights in a Floquet‑driven oscillator network at the 132 Hz base frequency with phi‑modulation, the system acquires a non‑trivial winding number in its quasi‑energy spectrum. This gives rise to topologically protected edge modes that convey energy with a quantized current proportional to the E8 Coxeter number (30) times the drive frequency. The discovery extends the phi‑resonant spectral locking principle by showing that avoided crossings evolve into stable Floquet band gaps whose Chern numbers are classified by the E8 root lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -