Prismatic Syzygies of Trans-Universal Drinfel'd Shtukas: Non-Abelian Hodge Filtration in Post-Singularity Perfectoid Spaces via the Entropic Tilting of Retro-Causal Shimura Varieties
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| Language: | English |
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2025
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| author | Revista, Zen MFC, 10 |
| author_facet | Revista, Zen MFC, 10 |
| contents | <div>Mathematical Applications of Science Fiction</div> <div> </div> <p>We construct a canonical isomorphism between the pris-<br>matic cohomology of trans-universal Drinfel’d Shtukas<br>and the entropic de Rham complex of retro-causal<br>Shimura varieties over a post-singularity perfectoid base<br>field K∞-ram. By introducing the notion of Entropic<br>Tilting, we extend the Scholze-Bhatt prismatization func-<br>tor to non-Archimedean orbifolds possessing closed time-<br>like curves in their moduli stack. We define the Retro-<br>Causal Hodge Filtration and prove that the associated<br>spectral sequence degenerates at E2 under the assump-<br>tion of "Chronal Coherence." Furthermore, we resolve<br>the syzygies of the underlying φ-modules using a hyper-<br>derived category of liquid vector spaces. This establishes<br>a Non-Abelian Hodge Correspondence for spaces violat-<br>ing causality at the Planck scale, with direct implications<br>for the information paradox in black hole evaporation via<br>the holographic principle.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18100334 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Prismatic Syzygies of Trans-Universal Drinfel'd Shtukas: Non-Abelian Hodge Filtration in Post-Singularity Perfectoid Spaces via the Entropic Tilting of Retro-Causal Shimura Varieties Revista, Zen MFC, 10 <div>Mathematical Applications of Science Fiction</div> <div> </div> <p>We construct a canonical isomorphism between the pris-<br>matic cohomology of trans-universal Drinfel’d Shtukas<br>and the entropic de Rham complex of retro-causal<br>Shimura varieties over a post-singularity perfectoid base<br>field K∞-ram. By introducing the notion of Entropic<br>Tilting, we extend the Scholze-Bhatt prismatization func-<br>tor to non-Archimedean orbifolds possessing closed time-<br>like curves in their moduli stack. We define the Retro-<br>Causal Hodge Filtration and prove that the associated<br>spectral sequence degenerates at E2 under the assump-<br>tion of "Chronal Coherence." Furthermore, we resolve<br>the syzygies of the underlying φ-modules using a hyper-<br>derived category of liquid vector spaces. This establishes<br>a Non-Abelian Hodge Correspondence for spaces violat-<br>ing causality at the Planck scale, with direct implications<br>for the information paradox in black hole evaporation via<br>the holographic principle.</p> |
| title | Prismatic Syzygies of Trans-Universal Drinfel'd Shtukas: Non-Abelian Hodge Filtration in Post-Singularity Perfectoid Spaces via the Entropic Tilting of Retro-Causal Shimura Varieties |
| url | https://doi.org/10.5281/zenodo.18100334 |