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Tommaso Favalli

On the Emergence of Time and Space in Closed Quantum Systems

On the Emergence of Time and Space in Closed Quantum Systems

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The book explores the relationship between time, space, and entanglement, proposing a theory that explains the emergence of time and space within closed quantum systems. It revisits and extends the Page and Wootters theory, connects it to statistical mechanics, and provides a new understanding of the thermalization process. It also generalizes the framework to describe the spatial degree of freedom and provides a model of 3+1 dimensional, quantum spacetime emerging from entanglement. Finally, it treats the evolution of quantum clocks within a gravitational field and obtains a time dilation effect consistent with the Schwarzschild solution.

Format: Hardback
Length: 163 pages
Publication date: 10 February 2024
Publisher: Springer International Publishing AG


Time, space, and entanglement are the main characters in this book. Their nature is still a great mystery in physics, and we study here the possibility that these three phenomena are closely connected, showing how entanglement can be at the basis of the emergence of time and space within closed quantum systems. We revisit and extend the Page and Wootters theory that was originally introduced in order to describe the emergence of time through entanglement between subsystems in a globally static, quantum Universe. In the book, after providing a complete review of the salient aspects of the theory, we establish a connection with recent research on the foundations of statistical mechanics and provide a new understanding of the thermalization process. Furthermore, we generalize the framework in order to describe the spatial degree of freedom and provide a model of 3+1 dimensional, quantum spacetime emerging from entanglement among different subsystems in a globally timeless and positionless Universe. Finally, via the Page and Wootters theory, the evolution of quantum clocks within a gravitational field is treated and a time dilation effect is obtained in agreement with the Schwarzschild solution.


Dimension: 235 x 155 (mm)
ISBN-13: 9783031523519
Edition number: 1st ed. 2024

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