The Entanglement Theorem: Structural Concept Coupling as a Geometric Consequence of High-Dimensional Encoding
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| Formato: | Recurso digital |
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2026
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| _version_ | 1866901924998021120 |
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| author | McEntire, Jeremy |
| author_facet | McEntire, Jeremy |
| contents | Proves that structural entanglement — every informative direction carrying all concepts — follows from concentration of measure when k concepts are encoded in d >> k dimensions. Four corollaries: superlinear amplification, concept-type independence, the specialist bound (compositional architecture is a geometric necessity), and the alignment implication (surgical concept editing is geometrically limited). All predictions confirmed across 4 architectures, 2 concept families. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19434219 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Entanglement Theorem: Structural Concept Coupling as a Geometric Consequence of High-Dimensional Encoding McEntire, Jeremy entanglement theorem concentration of measure high-dimensional encoding specialist bound alignment implication superlinear amplification structural entanglement Proves that structural entanglement — every informative direction carrying all concepts — follows from concentration of measure when k concepts are encoded in d >> k dimensions. Four corollaries: superlinear amplification, concept-type independence, the specialist bound (compositional architecture is a geometric necessity), and the alignment implication (surgical concept editing is geometrically limited). All predictions confirmed across 4 architectures, 2 concept families. |
| title | The Entanglement Theorem: Structural Concept Coupling as a Geometric Consequence of High-Dimensional Encoding |
| topic | entanglement theorem concentration of measure high-dimensional encoding specialist bound alignment implication superlinear amplification structural entanglement |
| url | https://doi.org/10.5281/zenodo.19434219 |