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Numerical Approximation of Isomorphisms in Hitchin Stacks via Q-Learning and Physical Information Bounds

Pulickal, Pearl Bipin
PhilArchive · Papers
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philosophy
We propose a novel computational framework for resolving the natural isomorphisms of T-schemes within the Hitchin fibration. By invoking the Bekenstein Bound to reject infinite-dimensional categorical complexity, we restrict the moduli space to a finite, albeit immensely dense, state-space exploration problem. We utilize Reinforcement Learning-specifically Q-Learning over Homotopy Type Theory (HoTT) paths-to navigate these spaces. Finally, we introduce the Pulickal Algorithm for parallelized numerical approximation, allowing for a strictly bounded δ-error margin in algebraic commutativity, effectively transitioning geometric Langlands abstractions into computationally viable industrial applications.
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