On the Emergence of Time and Space in Closed Quantum Systems

Tommaso Favalli

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Hardback

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English

Springer International Publishing AG
10 February 2024

Series: Springer Theses

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 we provide a new understanding of the thermalization process. Furthermore, we generalize the framework in order describe the spatial degree of freedom and we 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.

By: Tommaso Favalli
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2024
Dimensions: Height: 235mm, Width: 155mm,
Weight: 453g
ISBN: 9783031523519
ISBN 10: 3031523512
Series: Springer Theses
Pages: 163
Publication Date: 10 February 2024
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Tommaso Favalli was born in Florence in 1987. He received his master’s degree in physical and astrophysical sciences from the University of Florence and his Ph.D. in Quantum Technologies from the University of Naples Federico II. His research activity focuses mainly on the foundations of quantum mechanics and in particular on the concepts of time and space. He is currently a researcher at the University of Trieste.