We consider the uncertainty in the arm length of an interferometer due to metric fluctuations from the quantum nature of gravity, proposing a concrete microscopic model of energy fluctuations in holographic degrees of freedom on the surface bounding a causally connected region of spacetime. In our model, fluctuations longitudinal to the beam direction accumulate in the infrared and feature strong long distance correlation in the transverse direction. This leads to a signal that could be observed in a gravitational wave interferometer. We connect the positional uncertainty principle arising from our calculations to the 't Hooft gravitational S-matrix.

中文翻译：

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干涉仪中量子引力的观测特征

我们考虑了由于引力量子性质的度量涨落而导致的干涉仪臂长的不确定性，提出了一个具体的微观模型，描述了表面上全息自由度的能量涨落，该模型界定了一个因果连接的时空区域。在我们的模型中，光束方向的纵向波动在红外线中累积，并在横向具有很强的长距离相关性。这导致可以在引力波干涉仪中观察到的信号。我们将计算产生的位置不确定性原理与 't Hooft 引力S矩阵联系起来。