Quantum reference frames at the boundary of spacetime
- Author(s)
- Viktoria Kabel, Časlav Brukner, Wolfgang Wieland
- Abstract
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.
- Organisation(s)
- Quantum Optics, Quantum Nanophysics and Quantum Information
- External organisation(s)
- Österreichische Akademie der Wissenschaften (ÖAW), Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
- Journal
- Physical Review D
- Volume
- 108
- No. of pages
- 22
- ISSN
- 2470-0010
- DOI
- https://doi.org/10.48550/arXiv.2302.11629
- Publication date
- 11-2023
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103025 Quantum mechanics
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/quantum-reference-frames-at-the-boundary-of-spacetime(7ea3ae25-c62f-461c-9d2f-7f4e3effb9e7).html