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2026
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| Online Access: | https://doi.org/10.5281/zenodo.20407370 |
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| _version_ | 1866902307695755264 |
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| author | Jardine, James |
| author_facet | Jardine, James |
| contents | <p> This repository contains the validation prototype for composing 4D geometric codes into<br> higher-dimensional logical structures. Specifically, it implements the mapping of six<br> [[96, 6, 8]] 24-cell honeycomb codes into a 24D stability manifold based on the Leech<br> lattice. Using Jordan-Shadow decomposition and a 96D octonion collapse engine, we<br> demonstrate that the single-shot error correction property is preserved across the<br> dimensional lifting. Empirical tests show a 2.25% improvement in unified confidence and<br> topological stability (Grade 3 Moonshine) under high-noise regimes (σ = 0.1), providing a<br> scalable path for high-density logical memory on neutral-atom quantum architectures.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20407370 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Third Bridge: Empirical Stability of 4D-to-24D Geometric Code Composition Jardine, James <p> This repository contains the validation prototype for composing 4D geometric codes into<br> higher-dimensional logical structures. Specifically, it implements the mapping of six<br> [[96, 6, 8]] 24-cell honeycomb codes into a 24D stability manifold based on the Leech<br> lattice. Using Jordan-Shadow decomposition and a 96D octonion collapse engine, we<br> demonstrate that the single-shot error correction property is preserved across the<br> dimensional lifting. Empirical tests show a 2.25% improvement in unified confidence and<br> topological stability (Grade 3 Moonshine) under high-noise regimes (σ = 0.1), providing a<br> scalable path for high-density logical memory on neutral-atom quantum architectures.</p> |
| title | The Third Bridge: Empirical Stability of 4D-to-24D Geometric Code Composition |
| url | https://doi.org/10.5281/zenodo.20407370 |