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
Year: 2025
Type: article
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.
Authors: Revista, Zen, MFC, 10
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7117768651
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