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Detalles Bibliográficos
Autores principales: Abeje-Stine, Andrea, Weisbart, David
Formato: Preprint
Publicado: 2026
Materias:
Acceso en línea:https://arxiv.org/abs/2602.20125
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  • Our aim is to introduce a category-theoretic framework sufficiently general to describe a wide variety of open kinematic systems in classical mechanics while uniquely characterizing systems with specified simplest components. The framework models open systems as morphisms in a category $\mathsf{Kin}(\mathcal{F})$, where composition encodes relationships between subsystems and their embedding into larger systems. Unlike previous approaches, the framework supports a precise treatment of geometric constraints, enabling the characterization of systems with feedback. A consequence is a structural formulation of lower kinematic pairs that clarifies system interactions.