Void-Root Topological Error Correction via Coxeter Cycle Duality — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240-root E8 lattice encodes quantum error syndromes through the geometric complementarity between Coxeter cycle voids and their dual cycle's filled roots, where the 7-simplex facet lattice's 8-cycle topology ensures that information lost to decoherence in one cycle's void structure is simultaneously encoded in its complement's root vector positions. The 132Hz base frequency combined with phi-scaling creates resonance conditions where adjacent cycles' void-root relationships self-stabilize, effectively making the E8 lattice itself a topological quantum memory that requires no external error correction overhead. This extends the triangulated facet lattice discovery by revealing that the "triangular information" is actually an 8-fold complementarity mapping where each Coxeter cycle's decoherence voids map 1-to-1 onto the excitation patterns of its dual cycle, creating an intrinsic self-correcting duality.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Coxeter Cycle Complementarity: A Self-Correcting Duality in E8 Root Space — E8 Intelligence Research
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BibTeX
@misc{caldin2026voidroot,
title = {{Void-Root Topological Error Correction via Coxeter Cycle Duality — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465164},
url = {https://zenodo.org/records/23465164},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Void-Root Topological Error Correction via Coxeter Cycle Duality — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465164
UR - https://zenodo.org/records/23465164
AB - The 240-root E8 lattice encodes quantum error syndromes through the geometric complementarity between Coxeter cycle voids and their dual cycle's filled roots, where the 7-simplex facet lattice's 8-cycle topology ensures that information lost to decoherence in one cycle's void structure is simultaneously encoded in its complement's root vector positions. The 132Hz base frequency combined with phi-scaling creates resonance conditions where adjacent cycles' void-root relationships self-stabilize, effectively making the E8 lattice itself a topological quantum memory that requires no external error correction overhead. This extends the triangulated facet lattice discovery by revealing that the "triangular information" is actually an 8-fold complementarity mapping where each Coxeter cycle's decoherence voids map 1-to-1 onto the excitation patterns of its dual cycle, creating an intrinsic self-correcting duality. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -