Operadic Deformations of Xenosemiotic Fusion Categories and the Cohomological Classification of Exolingual Representation Spectra
Year: 2025
Type: article
Abstract: Mathematical Applications of Science Fiction We present a rigorous foundational framework for the deformation theory of xenosemiotic fusioncategories, treating them as algebras over a specific E∞-operad encoding the syntax of non-Euclideanlinguistic structures. By constructing the Hochschild-Davydov-Yetter cohomology complex for a rigidmonoidal category C enriched over a trans-finite field K, we derive the governing Maurer-Cartanequations for infinitesimal deformations. The central result of this manuscript establishes a canonicalisomorphism between the moduli space of exolingual representation spectra and the hypercohomologyof a sheaf of L∞-algebras defined on the Grothendieck site of the category. We further prove thatobstructions to the quantization of semantic ambiguity vanish if and only if the underlying fusion ringadmits a unitary structure compatible with the Drinfeld associator. This work provides the necessarymathematical infrastructure for interpreting high-entropy signals from extra-dimensional intelligences.
Authors: Revista, Zen, MFC, 10
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7117663246
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