PreprintCC BY 4.0Zenodo
Coxeter Cycle Complementarity: A Self-Correcting Duality in E8 Root Space — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 8 Coxeter cycles of 30 root vectors each form not just error-correcting bands, but a complete duality system where the geometric voids of one cycle map to the filled root vectors of its complement. By treating each cycle's 30 interstitial gaps as encoding potential for the complementary cycle's 30 root vectors, E8 achieves quantum error correction through geometric complementarity rather than parity checks—errors in one cycle become information in its dual, enabling continuous self-referential error correction.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026coxeter,
title = {{Coxeter Cycle Complementarity: A Self-Correcting Duality in E8 Root Space — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465160},
url = {https://zenodo.org/records/23465160},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Coxeter Cycle Complementarity: A Self-Correcting Duality in E8 Root Space — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465160
UR - https://zenodo.org/records/23465160
AB - The 8 Coxeter cycles of 30 root vectors each form not just error-correcting bands, but a complete duality system where the geometric voids of one cycle map to the filled root vectors of its complement. By treating each cycle's 30 interstitial gaps as encoding potential for the complementary cycle's 30 root vectors, E8 achieves quantum error correction through geometric complementarity rather than parity checks—errors in one cycle become information in its dual, enabling continuous self-referential error correction. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -