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| Autor principal: | |
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
| Publicado: |
Zenodo
2025
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| Materias: | |
| Acceso en línea: | https://doi.org/10.5281/zenodo.17266407 |
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- <p>We present a model-specific, rigorously proven reconstruction of core physical theories from a homotopy-coherent definition of time. Addressing five critical issues: (A) we fix Joyal’s quasi-categories as the (∞, 1)-categorical model and carry out all higher-<br>coherence proofs using horn-filler techniques; (B) we regularize Euler characteristics χ(hofib(evf )) by restricting to finite-type homotopy fibers (finite CW or finite simplicial sets) and, where appropriate, invoking categorical Euler characteristic (Leinster;<br>L¨uck); (C) we provide strict, model-aware proofs for theorems on unitary evolution as ∞-natural transformations and on Einstein’s equations as natural transformations of tensor functors via equalizer morphisms; (D) we supply a precise probabilistic/measure framework for weights w([f ]), including Gibbs weights and integrability conditions; (E) we compute a nontrivial finite simplicial groupoid toy-model for S∞ and verify monotonicity numerically. </p>