标题： 因果钻石中的涨落与关联 显示英文标题

标题： Fluctuations and Correlations in Causal Diamonds

摘要： 我们认为，由有限时间平移相关的两个因果钻石的模态哈密顿量之间的关联等于它们重叠区域内钻石的模态哈密顿量的不确定性。在另一部分中，我们研究了钻石中的熵涨落与从't Hooft对易关系计算出的长度涨落之间的关系。 显示英文摘要

摘要： We argue that the correlation between the modular Hamiltonians of two causal diamonds related by a finite time translation is equal to the uncertainty in the modular Hamiltonian of the diamond in their overlap. In a separate section we investigate the relation between entropy fluctuations in a diamond, and length fluctuations calculated from the 't Hooft commutation relations.