A compositional framework for classical kinematic systems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914344493645824 |
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| author | Abeje-Stine, Andrea Weisbart, David |
| author_facet | Abeje-Stine, Andrea Weisbart, David |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20125 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A compositional framework for classical kinematic systems Abeje-Stine, Andrea Weisbart, David Mathematical Physics 18B99, 53A17, 70B15 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. |
| title | A compositional framework for classical kinematic systems |
| topic | Mathematical Physics 18B99, 53A17, 70B15 |
| url | https://arxiv.org/abs/2602.20125 |