事件量子坐标的变化
Variance of the Quantum Coordinates of an Event
摘要：
本文研究了在庞加莱协变理论中作为量子观测量的事件的坐标的方差。出发点是他们在闵可夫斯基时空的协变正算子值测度方面的描述。除了通常的不确定性关系，我们发现更强的不等式涉及的质量和质心的角动量的对象，定义的事件。我们认为，这些不等式可能有助于澄清一些论点，这些论点已被给予赞成引力量子限制的时间和空间测量的精度。
英文摘要：
We study the variances of the coordinates of an event considered as quantum observables in a Poincare' covariant theory. The starting point is their description in terms of a covariant positive-operator-valued measure on the Minkowski space-time. Besides the usual uncertainty relations, we find stronger inequalities involving the mass and the centre-of-mass angular momentum of the object that defines the event. We suggest that these inequalities may help to clarify some of the arguments which have been given in favour of a gravitational quantum limit to the accuracy of time and space measurements.
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