Quantum Time

Abstract

We give a consistent quantum description of time, based on Page and Wootters' conditional probabilities mechanism, that overcomes the criticisms that were raised against similar previous proposals. In particular we show how the model allows to reproduce the correct statistics of sequential measurements performed on a system at different times.

Final version accepted for publication on Phys. Rev. D

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• A fundamental problem in quantizing general relativity
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• Time Observables in a Timeless Universe
• Spacetime Quantum Actions
• Identification is Pointless: Quantum Coordinates, Localisation of Events, and the Quantum Hole Argument
• Quantum metrology using time-frequency as quantum continuous variables: Resources, sub shot-noise precision and phase space representation
• Quantifying quantum reference frames in composed systems: local, global and mutual asymmetries
• Internal clock formulation of quantum mechanics
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• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Flow of time during energy measurements and the resulting time-energy uncertainty relations
• Time as a Consequence of Internal Coherence
• Entanglement-asymmetry correspondence for internal quantum reference frames
• An experimental investigation of measurement-induced disturbance and time symmetry in quantum physics
• Quantum Space, Quantum Time, and Relativistic Quantum Mechanics
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• Dynamical nonlocality in quantum time via modular operators
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• Energy-Time Uncertainty Relations in Quantum Measurements
• Peaceful coexistence of thermal equilibrium and the emergence of time
• Watching the Clocks: Interpreting the Page-Wootters Formalism and the Internal Quantum Reference Frame Programme
• Robustness of the Page-Wootters construction across different pictures, states of the universe and system-clock interactions
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• Emergent Time and Time Travel in Quantum Physics
• Law of Total Probability in Quantum Theory and Its Application in Wigner's Friend Scenario
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• Quantum Entanglement Dynamics of Spacetime and Matter
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• Time-of-Flow Distributions in Discrete Quantum Systems: From Operational Protocols to Quantum Speed Limits
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