Quantum reference frames at the boundary of spacetime

Viktoria Kabel (Corresponding author), Časlav Brukner, Wolfgang Wieland

Publications: Contribution to journalArticlePeer Reviewed


An analysis is given of the local phase space of gravity coupled to matter to second order in perturbation theory. Working in local regions with boundaries at finite distance, we identify matter, Coulomb, and additional boundary modes. The boundary modes take the role of reference frames for both diffeomorphisms and internal Lorentz rotations. Passing to the quantum level, we identify the constraints that link the bulk and boundary modes. The constraints take the form of a multifingered Schrödinger equation, which determines the relational evolution of the quantum states in the bulk with respect to the quantum reference fields for the local gravitational symmetries at the boundary. Taking the boundary to infinity, we obtain quantum reference frames for asymptotic symmetries.
Original languageEnglish
Article number106022
Number of pages22
JournalPhysical Review D
Issue number10
Publication statusPublished - 15 Nov 2023

Austrian Fields of Science 2012

  • 103028 Theory of relativity
  • 103025 Quantum mechanics


Dive into the research topics of 'Quantum reference frames at the boundary of spacetime'. Together they form a unique fingerprint.

Cite this