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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.20125 |
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Table of 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.