Salvato in:
| Autore principale: | |
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| Natura: | Recurso digital |
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Zenodo
2026
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| Accesso online: | https://doi.org/10.5281/zenodo.18880971 |
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Sommario:
- Proves that universal entanglement is a mathematical theorem, not an empirical observation. When k concepts are encoded in d>>k dimensions, concentration of measure ensures every direction carries all concepts with EI->c>1 as d/k->infinity. Three lemmas (concentration on sphere, JL preservation, PCA disentanglement) establish the proof. Four corollaries: superlinear amplification, concept-type independence, the specialist bound (compositional architecture as geometric necessity), and the alignment implication (surgical concept editing is geometrically limited). Positions against Mueller et al. (2025), Erogullari et al. (2025), and Liu et al. (2026).