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The Page-Wootters formalism is a proposal for reconciling the background-dependent, quantum-mechanical notion of time with the background independence of general relativity.
“Time in the quantum theory and the uncertainty relation for time and energy”
Y. Aharonov and D. Bohm · 1961
Earlier work this paper cites.
“The “past” and the “delayed-choice” double-slit experiment”
John A. Wheeler · 1978
Earlier work this paper cites.
“Measurement of time by quantum clocks”
Asher Peres · 1980
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“Evolution without evolution: Dynamics described by stationary observables”
Don N. Page and William K. Wootters · 1983
Earlier work this paper cites.
““Time” replaced by quantum correlations”
William K. Wootters · 1984
Earlier work this paper cites.
“Time and the interpretation of canonical quantum gravity”
William G. Unruh and Robert M. Wald · 1989
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“Quantum mechanics without time: A model”
Carlo Rovelli · 1990
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“Quantization of gauge systems”
Marc Henneaux and Claudio Teitelboim · 1992
Earlier work this paper cites.
“Group averaging and refined algebraic quantization: Where are we now?” (2000)
Donald Marolf · 2000
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“Lectures on quantum mechanics”
P. A. M. Dirac · 2001
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“The conditional probability interpretation of the Hamiltonian constraint” (2004)
Carl E. Dolby · 2004
Earlier work this paper cites.
“A relational solution to the problem of time in quantum mechanics and quantum gravity: a fundamental mechanism for quantum decoherence”
Rodolfo Gambini, Rafael A. Porto, and Jorge Pullin · 2004
Earlier work this paper cites.
“Multiple-event probability in general-relativistic quantum mechanics”
Frank Hellmann, Mauricio Mondragon, Alejandro Perez, and Carlo Rovelli · 2007
Earlier work this paper cites.
“Multiple-event probability in general-relativistic quantum mechanics. II. a discrete model”
Mauricio Mondragon, Alejandro Perez, and Carlo Rovelli · 2007
Earlier work this paper cites.
“Reference frames, superselection rules, and quantum information”
Stephen D. Bartlett, Terry Rudolph, and Robert W. Spekkens · 2007
Earlier work this paper cites.
“Conditional probabilities with Dirac observables and the problem of time in quantum gravity”
Rodolfo Gambini, Rafael A. Porto, Jorge Pullin, and Sebastián Torterolo · 2009
Cited alongside, same era.
Carlo Rovelli · 2009
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“Time and interpretations of quantum gravity”
Karel V. Kuchař · 2011
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“Effective approach to the problem of time: General features and examples”
Martin Bojowald, Philipp A. Höhn, and Artur Tsobanjan · 2011
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“An effective approach to the problem of time”
Martin Bojowald, Philipp A Höhn, and Artur Tsobanjan · 2011
Cited alongside, same era.
“Republication of: Quantum theory of weak gravitational fields”
Matvei Bronstein · 2011
“Switching internal times and a new perspective on the ‘wave function of the universe”’
Philipp Höhn · 2019
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“Quantizing time: Interacting clocks and systems”
Alexander R. H. Smith and Mehdi Ahmadi · 2019
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“Time-delocalized quantum subsystems and operations: on the existence of processes with indefinite causal structure in quantum mechanics”
Ognyan Oreshkov · 2019
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“Quantum clocks and the temporal localisability of events in the presence of gravitating quantum systems”
Esteban Castro-Ruiz, Flaminia Giacomini, Alessio Belenchia, and Časlav Brukner · 2020
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“How to switch between relational quantum clocks”
Philipp A. Höhn and Augustin Vanrietvelde · 2020
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“Trinity of relational quantum dynamics”
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Cited alongside, same era.
“Informational derivation of quantum theory”
Giulio Chiribella, Giacomo Mauro D’Ariano, and Paolo Perinotti · 2011
Cited alongside, same era.
“Effective relational dynamics of a nonintegrable cosmological model”
Philipp A. Höhn, Em\́mathrm{i}lia Kubalová, and Artur Tsobanjan · 2012
Cited alongside, same era.
“Quantum correlations with no causal order”
Ognyan Oreshkov, Fabio Costa, and Časlav Brukner · 2012
Cited alongside, same era.
“The wigner–araki–yanase theorem and the quantum resource theory of asymmetry”
Mehdi Ahmadi, David Jennings, and Terry Rudolph · 2013
Cited alongside, same era.
“Covariant loop quantum gravity”
Carlo Rovelli and Francesca Vidotto · 2014
Cited alongside, same era.
“Quantum time”
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone · 2015
Cited alongside, same era.
Philipp A. Höhn, Alexander R. H. Smith, and Maximilian P. E. Lock · 2021
Later among the works it cites.
“Equivalence of approaches to relational quantum dynamics in relativistic settings”
Philipp A. Höhn, Alexander R. H. Smith, and Maximilian P. E. Lock · 2021
Later among the works it cites.
“Spacetime quantum reference frames and superpositions of proper times”
Flaminia Giacomini · 2021
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“Perspective-neutral approach to quantum frame covariance for general symmetry groups” (2021)
Anne-Catherine de la Hamette, Thomas D. Galley, Philipp A. Hoehn, Leon Loveridge, and Markus P. Mueller · 2021
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“Generalized probability rules from a timeless formulation of wigner’s friend scenarios”
Veronika Baumann, Flavio Del Santo, Alexander R. H. Smith, Flaminia Giacomini, Esteban Castro-Ruiz, and Caslav Brukner · 2021
Later among the works it cites.
“Noncausal page-wootters circuits”
Veronika Baumann, Marius Krumm, Philippe Allard Guérin, and Časlav Brukner · 2022
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“Conditional probabilities of measurements, quantum time, and the wigner’s-friend case”
M. Trassinelli · 2022
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“Non-inertial quantum clock frames lead to non-hermitian dynamics”
Ismael L. Paiva, Amit Te’eni, Bar Y. Peled, Eliahu Cohen, and Yakir Aharonov · 2022
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“Flow of time during energy measurements and the resulting time-energy uncertainty relations”
Ismael L. Paiva, Augusto C. Lobo, and Eliahu Cohen · 2022
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“Robustness of the page-wootters construction across different pictures, states of the universe, and system-clock interactions”
Simone Rijavec · 2023
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