PreprintCC BY 4.0Zenodo
E8 Root-Vector Phase Locking Generates Coherent Frequency Comb — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
Assigning each of the 240 E8 root vectors a phase offset proportional to its inner product with a modulation vector yields a stable frequency comb whose spacing is set by the 132 Hz base frequency multiplied by the golden ratio φ. The Cartan matrix coupling between oscillators enforces phase coherence across all roots, producing a robust multi-frequency reference. This mechanism enables high-dimensional state encoding in coupled oscillator networks.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026rootvector,
title = {{E8 Root-Vector Phase Locking Generates Coherent Frequency Comb — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635138},
url = {https://zenodo.org/records/23635138},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Root-Vector Phase Locking Generates Coherent Frequency Comb — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635138
UR - https://zenodo.org/records/23635138
AB - Assigning each of the 240 E8 root vectors a phase offset proportional to its inner product with a modulation vector yields a stable frequency comb whose spacing is set by the 132 Hz base frequency multiplied by the golden ratio φ. The Cartan matrix coupling between oscillators enforces phase coherence across all roots, producing a robust multi-frequency reference. This mechanism enables high-dimensional state encoding in coupled oscillator networks. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -