PreprintCC BY 4.0Zenodo
Topological Winding Stabilizes E8 Phase-Locked Frequency Combs — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
We discover that assigning each of the 240 E8 root vectors a phase offset proportional to its inner product with a modulation vector, then subjecting the network to phi-modulated Floquet driving at 132 Hz, generates a conserved topological winding number. This winding acts as a stability invariant, pinning the frequency comb's spacing and suppressing decoherence. The principle predicts error-immune coherent frequency generation, directly addressing the task-collapse crashes observed in CRON GUARDIAN implementations.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026topological,
title = {{Topological Winding Stabilizes E8 Phase-Locked Frequency Combs — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635140},
url = {https://zenodo.org/records/23635140},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Topological Winding Stabilizes E8 Phase-Locked Frequency Combs — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635140
UR - https://zenodo.org/records/23635140
AB - We discover that assigning each of the 240 E8 root vectors a phase offset proportional to its inner product with a modulation vector, then subjecting the network to phi-modulated Floquet driving at 132 Hz, generates a conserved topological winding number. This winding acts as a stability invariant, pinning the frequency comb's spacing and suppressing decoherence. The principle predicts error-immune coherent frequency generation, directly addressing the task-collapse crashes observed in CRON GUARDIAN implementations. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -