Quantum Reference Frames at the Boundary of Spacetime

Fuente: arXiv
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Auteurs principaux: Kabel, Viktoria, Brukner, Časlav, Wieland, Wolfgang
Format: Preprint
Publié: 2023
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author Kabel, Viktoria
Brukner, Časlav
Wieland, Wolfgang
author_facet Kabel, Viktoria
Brukner, Časlav
Wieland, Wolfgang
contents 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 multi-fingered Schrödinger equation, which determines the relational evolution of the quantum states in the bulk with respect to the quantum reference fields at the boundary.
format Preprint
id arxiv_https___arxiv_org_abs_2302_11629
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quantum Reference Frames at the Boundary of Spacetime
Kabel, Viktoria
Brukner, Časlav
Wieland, Wolfgang
General Relativity and Quantum Cosmology
Quantum Physics
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 multi-fingered Schrödinger equation, which determines the relational evolution of the quantum states in the bulk with respect to the quantum reference fields at the boundary.
title Quantum Reference Frames at the Boundary of Spacetime
topic General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2302.11629