A Constructive Definition of Space via Dynamical Evolution and Observational Acts
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916890926907392 |
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| author | Katagiri, So |
| author_facet | Katagiri, So |
| contents | We propose a constructive and dynamical redefinition of spatial structure, grounded in the interplay between mechanical evolution and observational acts. Rather than presupposing space as a static background, we interpret space as an emergent entity that arises through observational acts. Using the framework of pre-topologies, measurable structures, and the GNS construction, we analyze how the choice of observables and the system's time evolution dynamically determine the topological and measure-theoretic features of space. This approach highlights the observer-dependent and context-sensitive nature of spatial concepts in both classical and quantum domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Constructive Definition of Space via Dynamical Evolution and Observational Acts Katagiri, So Quantum Physics Mathematical Physics We propose a constructive and dynamical redefinition of spatial structure, grounded in the interplay between mechanical evolution and observational acts. Rather than presupposing space as a static background, we interpret space as an emergent entity that arises through observational acts. Using the framework of pre-topologies, measurable structures, and the GNS construction, we analyze how the choice of observables and the system's time evolution dynamically determine the topological and measure-theoretic features of space. This approach highlights the observer-dependent and context-sensitive nature of spatial concepts in both classical and quantum domains. |
| title | A Constructive Definition of Space via Dynamical Evolution and Observational Acts |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2505.09838 |