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Quantum clocks and the temporal localisability of events in the presence of gravitating quantum systems

机译:在存在引力量子系统时,量子钟和事件的时间局部可见性

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The standard formulation of quantum theory relies on a fixed space-time metric determining the localisation and causal order of events. In general relativity, the metric is influenced by matter, and is expected to become indefinite when matter behaves quantum mechanically. Here, we develop a framework to operationally define events and their localisation with respect to a quantum clock reference frame, also in the presence of gravitating quantum systems. We find that, when clocks interact gravitationally, the time localisability of events becomes relative, depending on the reference frame. This relativity is a signature of an indefinite metric, where events can occur in an indefinite causal order. Even if the metric is indefinite, for any event we can find a reference frame where local quantum operations take their standard unitary dilation form. This form is preserved when changing clock reference frames, yielding physics covariant with respect to quantum reference frame transformations.
机译:量子理论的标准制定依赖于确定事件的定位和因果顺序的固定时空度量。在一般相对性中,度量受到物质的影响,并且当物质机械上的量子表现出量时,预计将变得无限期。在这里,我们也开发了一个框架,用于在抛出量子系统的存在下操作地定义关于量子时钟参考帧的事件及其本地化。我们发现,当时钟重力相互作用时,事件的时间可见性变为相对,具体取决于参考帧。该相关性是无限度量的签名,其中事件可以以无限的因果顺序发生。即使该度量是无限期的,对于任何事件,我们也可以找到一个参考帧,其中本地量子操作采用其标准整体扩张形式。在改变时钟参考帧时,该表格被保留,屈服于量子参考帧变换的物理协方形。

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