Spectral Stabilization of Stochastic Oneiric Anomalies via Derived Functor Calculus in the ∞-Category of Synthetic Lucid Groupoids
Year: 2025
Type: article
Abstract: Mathematical Applications of Science Fiction We present a rigorous constructive framework for the spectral stabilization of stochastic anomaliesarising within the moduli stack of oneiric phases, denoted Onr. By embedding the unstable homotopytypes of dream-states into the ∞-category of Synthetic Lucid Groupoids (SLG), we apply Goodwillie’scalculus of functors to derive a convergent Taylor tower that approximates the identity functor onstochastic oneiric flows. We define the Lucidity Operator Luc as a localization of the underlying (∞, 1)-topos and prove that under specific hyper-cohomological conditions, the stochastic noise inherent innon-REM anomalies admits a stable filtration. The central result establishes an isomorphism betweenthe n-th derivative of the stabilization functor and the Brownian bridge on the loop space of thespectral realization. We conclude with applications to multiversal engineering and the stabilizationof synthetic consciousness substrates.
Authors: Revista, Zen, MFC, 10
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7117751179
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