观察者、局部测量与拓扑
Observers, local measurements, and topology
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中文总结 AI 辅助
研究在动态引力时空中观察者利用可观测量代数进行局部测量，据此构建单纯复形，旨在捕捉时空拓扑信息，即便时空波动也能实现。
中文摘要 AI 辅助
在具有动态引力的时空中传播的观察者可以接触到一个可观测量代数，预计它是一个具有迹的冯·诺依曼代数。观察者可利用该代数中的投影进行局部测量。基于此，我们根据观察者世界线上记录的测量构建了一个单纯复形，并提出即使时空波动，这样的复形也能捕捉其拓扑信息。
英文摘要
An observer which propagates in a spacetime with dynamical gravity has access to an algebra of observables which is expected to be a von Neumann algebra with a trace. The observer can use projections from the algebra to perform local measurements. By using this fact we construct a simplicial complex out of measurements recorded on the worldline of the observer and we propose that such a complex captures topological information about spacetime, even when this is fluctuating.
