Year: 2025
Type: preprint
Abstract: 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. Given a time evolution and a physically specified measurement context, we construct a reachability structure and a context-dependent measurable structure. 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. Time evolution and the measurement context are inputs to this construction. Deriving time itself or a complete dynamics for the selection and stabilization of the measurement context lies outside the scope of this paper. This approach highlights the observer-dependent and context-sensitive nature of spatial concepts in both classical and quantum domains.
Source: arXiv (Cornell University)
Author: Katagiri, So
Institution: Ibaraki University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416173646
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