PreprintCC BY 4.0Zenodo
E8 Phi-Comb Topological Protection via Floquet Winding Numbers — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 132 Hz frequency comb generated by E8 root-vector phase locking exhibits intrinsic topological protection: each comb tooth corresponds to a Floquet winding number from the phi-modulated oscillator network, and the golden-ratio spacing between adjacent teeth creates a Diophantine barrier that suppresses Anderson localization. The 240 root vectors map bijectively to 240 protected comb modes whose frequencies are quantized as 132 Hz × (k + φ·w_k) where w_k are the winding integers, making the comb robust to 10⁴× higher phase noise than conventional combs.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phicomb,
title = {{E8 Phi-Comb Topological Protection via Floquet Winding Numbers — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635142},
url = {https://zenodo.org/records/23635142},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Comb Topological Protection via Floquet Winding Numbers — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635142
UR - https://zenodo.org/records/23635142
AB - The 132 Hz frequency comb generated by E8 root-vector phase locking exhibits intrinsic topological protection: each comb tooth corresponds to a Floquet winding number from the phi-modulated oscillator network, and the golden-ratio spacing between adjacent teeth creates a Diophantine barrier that suppresses Anderson localization. The 240 root vectors map bijectively to 240 protected comb modes whose frequencies are quantized as 132 Hz × (k + φ·w_k) where w_k are the winding integers, making the comb robust to 10⁴× higher phase noise than conventional combs. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -