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We consider the uncertainty in the arm length of an interferometer due tometric fluctuations from the quantum nature of gravity, proposing a concretemicroscopic model of energy fluctuations in holographic degrees of freedom onthe surface bounding a causally connected region of spacetime. In our model,fluctuations longitudinal to the beam direction accumulate in the infrared andfeature strong long distance correlation in the transverse direction. Thisleads to a signal that could be observed in a gravitational waveinterferometer. We connect the positional uncertainty principle arising fromour calculations to the 't Hooft gravitational S-matrix.

Observational Signatures of Quantum Gravity in Interferometers