- Open Access
Response of interferometers to the vacuum of quantum gravity
Phys. Rev. D 113, 106002 – Published 6 May, 2026
DOI: https://doi.org/10.1103/j5kj-zdky
Abstract
It has recently been suggested that exotic quantum gravity effects could lead to large vacuum fluctuations, potentially observable with realistic detectors. Experiments are currently being built to search for these signals. Here we analyze the minimal model of quantum gravity at low energies—the usual effective quantum field theory of gravitons—and show that it unambiguously predicts an unobservably small variation in the measured interferometer length . In particular, there are no divergences signaling a breakdown of this calculation in the low energy regime. Thus, detection of a large, gravitationally induced length variation would signal a severe breakdown of effective quantum field theory in low energy quantum gravity.
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References (40)
- J. Aasi et al., Advanced LIGO, Classical Quantum Gravity 32, 074001 (2015).
- N. Aggarwal et al., Challenges and opportunities of gravitational-wave searches at MHz to GHz frequencies, Living Rev. Relativity 24, 4 (2021).
- N. Aggarwal, G. P. Winstone, M. Teo, M. Baryakhtar, S. L. Larson, V. Kalogera, and A. A. Geraci, Searching for new physics with a levitated-sensor-based gravitational-wave detector, Phys. Rev. Lett. 128, 111101 (2022).
- S. M. Vermeulen, L. Aiello, A. Ejlli, W. L. Griffiths, A. L. James, K. L. Dooley, and H. Grote, An experiment for observing quantum gravity phenomena using twin table-top 3d interferometers, Classical Quantum Gravity 38, 085008 (2021).
- S. M. Vermeulen et al., Photon counting interferometry to detect geontropic space-time fluctuations with GQuEST, Phys. Rev. X 15, 011034 (2025).
- C. J. Hogan, Spacetime indeterminacy and holographic noise, arXiv:0706.1999.
- C. J. Hogan, Measurement of quantum fluctuations in geometry, Phys. Rev. D 77, 104031 (2008).
- E. P. Verlinde and K. M. Zurek, Observational signatures of quantum gravity in interferometers, Phys. Lett. B 822, 136663 (2021).
- E. Verlinde and K. M. Zurek, Spacetime fluctuations in AdS/CFT, J. High Energy Phys. 04 (2020) 209.
- K. M. Zurek, On vacuum fluctuations in quantum gravity and interferometer arm fluctuations, Phys. Lett. B 826, 136910 (2022).
- D. Li, V. S. H. Lee, Y. Chen, and K. M. Zurek, Interferometer response to geontropic fluctuations, Phys. Rev. D 107, 024002 (2023).
- M. W. Bub, Y. Chen, Y. Du, D. Li, Y. Zhang, and K. M. Zurek, Quantum gravity background in next-generation gravitational wave detectors, Phys. Rev. D 108, 064038 (2023).
- J. F. Donoghue, Introduction to the effective field theory description of gravity, in Advanced School on Effective Theories (1995), 6, 1995, .
- C. P. Burgess, Quantum gravity in everyday life: General relativity as an effective field theory, Living Rev. Relativity 7, 5 (2004).
- J. F. Donoghue, Quantum general relativity and effective field theory, in Handbook of Quantum Gravity (Springer, Singapore, 2023).
- M.-T. Jaekel and S. Reynaud, Gravitational quantum limit for length measurements, Phys. Lett. A 185, 143 (1994).
- B. Pang and Y. Chen, Quantum interactions between a laser interferometer and gravitational waves, Phys. Rev. D 98, 124006 (2018).
- M. Parikh, F. Wilczek, and G. Zahariade, The noise of gravitons, Int. J. Mod. Phys. D 29, 2042001 (2020).
- M. Parikh, F. Wilczek, and G. Zahariade, Quantum mechanics of gravitational waves, Phys. Rev. Lett. 127, 081602 (2021).
- M. Parikh, F. Wilczek, and G. Zahariade, Signatures of the quantization of gravity at gravitational wave detectors, Phys. Rev. D 104, 046021 (2021).
- M. P. Hertzberg and J. A. Litterer, Bound on quantum fluctuations in gravitational waves from LIGO-Virgo, J. Cosmol. Astropart. Phys. 03 (2023) 009.
- T. Guerreiro, F. Coradeschi, A. M. Frassino, J. R. West, and E. Schioppa, Jr., Quantum signatures in nonlinear gravitational waves, Quantum 6, 879 (2022).
- D. Carney, V. Domcke, and N. L. Rodd, Graviton detection and the quantization of gravity, Phys. Rev. D 109, 044009 (2024).
- S. Weinberg, Photons and gravitons in s-matrix theory: Derivation of charge conservation and equality of gravitational and inertial mass, Phys. Rev. 135, B1049 (1964).
- S. Weinberg, Photons and gravitons in perturbation theory: Derivation of Maxwell’s and Einstein’s equations, Phys. Rev. 138, B988 (1965).
- J. M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2, 231 (1998).
- I. Heemskerk, J. Penedones, J. Polchinski, and J. Sully, Holography from conformal field theory, J. High Energy Phys. 10 (2009) 079.
- S. Dimopoulos, P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Rajendran, Gravitational wave detection with atom interferometry, Phys. Lett. B 678, 37 (2009).
- V. S. H. Lee and K. M. Zurek, Proper time observables of general gravitational perturbations in laser interferometry-based gravitational wave detectors, Phys. Rev. D 111, 124037 (2025).
- A. Sivaramakrishnan, Correlators of worldline proper length, arXiv:2406.17205.
- M. Maggiore, Gravitational Waves. Vol. 1: Theory and Experiments (Oxford University Press, New York, 2007).
- J. Beckey, D. Carney, and G. Marocco, Quantum measurements in fundamental physics: A user’s manual, arXiv:2311.07270.
- M. Maggiore, Gravitational Waves (Oxford University Press, New York, 2008), Vol. 2.
- C. W. Gardiner and M. J. Collett, Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation, Phys. Rev. A 31, 3761 (1985).
- Ligo technical document ligo-t0900043, https://dcc.ligo.org/public/0000/T0900043/011/LIGO-T0900043-11.pdf.
- T. Hartman, S. Jain, and S. Kundu, Causality constraints in conformal field theory, J. High Energy Phys. 05 (2016) 099.
- N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, England, 1982).
- P. Kravchuk and D. Simmons-Duffin, Light-ray operators in conformal field theory, J. High Energy Phys. 11 (2018) 102.
- A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, Introduction to quantum noise, measurement, and amplification, Rev. Mod. Phys. 82, 1155 (2010).
- C. Whittle, L. McCuller, V. Sudhir, and M. Evans, Unification of thermal and quantum noises in gravitational-wave detectors, Phys. Rev. Lett. 130, 241401 (2023).