More About the Spontaneous Breaking of Time Reversal in de Sitter Space

Document Type : Regular article

Author

LITP and Department of Physics, Stanford University, Stanford, CA 94305-4060, USA; Google, Mountain View, CA, USA

Abstract

It is widely thought that the quantum theory of de Sitter space requires the existence of a physical observer in the static patch. What exactly is meant by an observer is unclear; it could be anything from a few photons with energy just above the Gibbons-Hawking temperature to a gravitationally bound cluster of galaxies. In a recent note,  I explained that one way the need for observers can arise is from the spontaneous breaking of time-reversal symmetry. This longer paper expands on the subject,  filling in conceptual arguments that were implicit but not explicitly stated in the earlier paper. 

Keywords

Main Subjects

 

Article PDF

[1] V. Chandrasekaran, R. Longo, G. Penington, and E. Witten, ”An algebra of observables for de Sitter space”, eprint: ”2206.10780”, JHEP 02, 082 (2023). DOI: 10.1007/JHEP02(2023)082
[2] A.I. Abdalla, S. Antonini, L.V. Iliesiu, and A. Levine, ”The gravitational path integral from an observer’s point of view”, eprint: ”2501.02632”, JHEP 05, 059 (2025). DOI: 10.1007/JHEP05(2025)059
[3] V. Ivo, J. Maldacena, and Z. Sun, ”Physical instabilities and the phase of the Euclidean path integral”, eprint: ”2504.00920”.
[4] Y. Chen, D. Stanford, H. Tang, Z. Yang, ”On the phase of the de Sitter density of states”, eprint: ”2511.01400”.
[5] L. Susskind, ”Why do we Need Observers? Spontaneous Breaking of Time-Reversal in de Sitter Space”, eprint: ”2512.13650”.
[6] L. Susskind, ”A Paradox and its Resolution Illustrate Principles of de Sitter Holography”, JHAP 5(2), 1 (2025). DOI: 10.22128/jhap.2025.957.1110
[7] D. Harlow, and T. Numasawa, ”Gauging spacetime inversions in quantum gravity”, eprint: ”2311.09978”, JHEP 01, 098 (2026). DOI: 10.1007/JHEP01(2026)098
[8] J. Polchinski, ”The phase of the sum over spheres”, Phys. Lett. B 219, 251 (1989). DOI: 10.1016/0370-2693(89)90387-0 
Volume 6, Issue 4
May 2026
Pages 1-15
  • Receive Date: 10 February 2026
  • Revise Date: 02 April 2026
  • Accept Date: 05 March 2026