Coxeter Projection of E8 Roots onto Hyperbolic Honeycomb as Qudit Code — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 5, 2026• 0 citations

Abstract

The 240 root vectors of E8 can be Coxeter-projected onto the hyperbolic {3,7} honeycomb via the H4 subalgebra, yielding 120 semion excitations that encode logical qudits in a fault-tolerant manner. The golden ratio φ emerges as the stabilizer norm linking the 132Hz base frequency to the code's distance, while the resulting structure inherits both the knot invariant generating function from Chern-Simons theory and the exceptional lattice's symmetry—establishing a unified topological quantum error-correcting code with geometric depth beyond planar or conventional hyperbolic constructions. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23152591

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