Relational observables in gravity: a review

J Tambornino - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2012 - emis.de
We present an overview on relational observables in gravity mainly from a loop quantum
gravity perspective. The gauge group of general relativity is the diffeomorphism group of the …

Trinity of relational quantum dynamics

PA Höhn, ARH Smith, MPE Lock - Physical Review D, 2021 - APS
The problem of time in quantum gravity calls for a relational solution. Using quantum
reduction maps, we establish a previously unknown equivalence between three approaches …

Quantum clocks and the temporal localisability of events in the presence of gravitating quantum systems

E Castro-Ruiz, F Giacomini, A Belenchia… - Nature …, 2020 - nature.com
The standard formulation of quantum theory relies on a fixed space-time metric determining
the localisation and causal order of events. In general relativity, the metric is influenced by …

Spacetime Quantum Reference Frames and superpositions of proper times

F Giacomini - Quantum, 2021 - quantum-journal.org
In general relativity, the description of spacetime relies on idealised rods and clocks, which
identify a reference frame. In any concrete scenario, reference frames are associated to …

Conditional probabilities with Dirac observables and the problem of time in quantum gravity

R Gambini, RA Porto, J Pullin, S Torterolo - Physical Review D—Particles …, 2009 - APS
We combine the “evolving constants” approach to the construction of observables in
canonical quantum gravity with the Page-Wootters formulation of quantum mechanics with a …

Assessing the nonequilibrium thermodynamics in a quenched quantum many-body system via single projective measurements

L Fusco, S Pigeon, TJG Apollaro, A Xuereb, L Mazzola… - Physical Review X, 2014 - APS
We analyze the nature of the statistics of the work done on or by a quantum many-body
system brought out of equilibrium. We show that, for the sudden quench and for an initial …

Noncausal page-wootters circuits

V Baumann, M Krumm, PA Guérin, Č Brukner - Physical Review Research, 2022 - APS
One of the most fundamental open problems in physics is the unification of general relativity
and quantum theory to a theory of quantum gravity. An aspect that might become relevant in …

Generalized probability rules from a timeless formulation of Wigner's friend scenarios

V Baumann, F Del Santo, ARH Smith, F Giacomini… - Quantum, 2021 - quantum-journal.org
The quantum measurement problem can be regarded as the tension between the two
alternative dynamics prescribed by quantum mechanics: the unitary evolution of the wave …

Watching the Clocks: Interpreting the Page–Wootters Formalism and the Internal Quantum Reference Frame Programme

E Adlam - Foundations of Physics, 2022 - Springer
We discuss some difficulties that arise in attempting to interpret the Page–Wootters and
Internal Quantum Reference Frames formalisms, then use a 'final measurement'approach to …

Beyond the Born rule in quantum gravity

A Valentini - Foundations of Physics, 2023 - Springer
We have recently developed a new understanding of probability in quantum gravity. In this
paper we provide an overview of this new approach and its implications. Adopting the de …