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
- Zen Revista
- 10 MFC
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
- Field-Weighted Citation Impact
- 0.00