# Observational Signatures of Quantum Gravity in Interferometers

## TL;DR

This paper proposes a microscopic model linking quantum gravity-induced metric fluctuations to observable signals in interferometers, suggesting potential experimental detection of quantum gravitational effects.

## Contribution

It introduces a novel microscopic model of energy fluctuations in holographic degrees of freedom that predicts observable signatures in gravitational wave interferometers.

## Key findings

- Fluctuations accumulate longitudinally and are correlated transversely.
- The model predicts measurable signals in current interferometers.
- Connects quantum gravity uncertainties to the 't Hooft S-matrix.

## Abstract

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.