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

Mathematical Applications of Science Fiction We construct a canonical isomorphism between the pris-matic cohomology of trans-universal Drinfel’d Shtukasand the entropic de Rham complex of retro-causalShimura varieties over a post-singularity perfectoid basefield K∞-ram. By introducing the notion of EntropicTilting, we extend the Scholze-Bhatt prismatization func-tor to non-Archimedean orbifolds possessing closed time-like curves in their moduli stack. We define the Retro-Causal Hodge Filtration and prove that the associatedspectral sequence degenerates at E2 under the assump-tion of "Chronal Coherence." Furthermore, we resolvethe syzygies of the underlying φ-modules using a hyper-derived category of liquid vector spaces. This establishesa Non-Abelian Hodge Correspondence for spaces violat-ing causality at the Planck scale, with direct implicationsfor the information paradox in black hole evaporation viathe holographic principle.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-30
DOI
https://doi.org/10.5281/zenodo.18100333
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

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

Zen Revista, 10 MFC
Zenodo (CERN European Organization for Nuclear Research)
Algebraic Geometry and Number Theory
article

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

Zen Revista, 10 MFC
article en

Abstract

Mathematical Applications of Science Fiction We construct a canonical isomorphism between the pris-matic cohomology of trans-universal Drinfel’d Shtukasand the entropic de Rham complex of retro-causalShimura varieties over a post-singularity perfectoid basefield K∞-ram. By introducing the notion of EntropicTilting, we extend the Scholze-Bhatt prismatization func-tor to non-Archimedean orbifolds possessing closed time-like curves in their moduli stack. We define the Retro-Causal Hodge Filtration and prove that the associatedspectral sequence degenerates at E2 under the assump-tion of "Chronal Coherence." Furthermore, we resolvethe syzygies of the underlying φ-modules using a hyper-derived category of liquid vector spaces. This establishesa Non-Abelian Hodge Correspondence for spaces violat-ing causality at the Planck scale, with direct implicationsfor the information paradox in black hole evaporation viathe holographic principle.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 19%
Algebraic Geometry and Number Theory
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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 — Zen Revista, 10 MFC · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS