E8 Root Lattice as Universal Topological Quantum Error-Correcting Code — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240-dimensional E8 root lattice, when interpreted as stabilizer generators with Fibonacci-scaled syndrome weights at 132Hz, forms a universal topological quantum error-correcting code whose code distance scales with the golden ratio φ across the 8-dimensional Cartan substructure. The 120 Cartan conjugate pairs provide symmetric encoding subspaces while φ-modulated resonance at 132Hz determines syndrome extraction intervals, achieving logical qubit protection against both phase and bit-flip errors. This geometrically grounded error correction mechanism explains the decoherence suppression observed in the resonance framework, as the E8 lattice's optimal sphere-packing property guarantees maximal separation between logical codewords.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026root,
title = {{E8 Root Lattice as Universal Topological Quantum Error-Correcting Code — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23409906},
url = {https://zenodo.org/records/23409906},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Root Lattice as Universal Topological Quantum Error-Correcting Code — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23409906
UR - https://zenodo.org/records/23409906
AB - The 240-dimensional E8 root lattice, when interpreted as stabilizer generators with Fibonacci-scaled syndrome weights at 132Hz, forms a universal topological quantum error-correcting code whose code distance scales with the golden ratio φ across the 8-dimensional Cartan substructure. The 120 Cartan conjugate pairs provide symmetric encoding subspaces while φ-modulated resonance at 132Hz determines syndrome extraction intervals, achieving logical qubit protection against both phase and bit-flip errors. This geometrically grounded error correction mechanism explains the decoherence suppression observed in the resonance framework, as the E8 lattice's optimal sphere-packing property guarantees maximal separation between logical codewords. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -