Quantum reference frames at the boundary of spacetime

Autor(en)

Viktoria Kabel, Časlav Brukner, Wolfgang Wieland

Abstrakt

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(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Österreichische Akademie der Wissenschaften (ÖAW), Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)

Journal

Physical Review D

Band

108

Anzahl der Seiten

22

ISSN

2470-0010

DOI

https://doi.org/10.48550/arXiv.2302.11629

Publikationsdatum

11-2023

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103025 Quantenmechanik

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7ea3ae25-c62f-461c-9d2f-7f4e3effb9e7