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On the emergence of time and space in closed quantum systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	On the emergence of time and space in closed quantum systems/ by Tommaso Favalli.
Author:	Favalli, Tommaso.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xxi, 163 p. :ill. (some col.), digital ;24 cm.
Notes:	"Doctoral thesis accepted by University of Naples 'Federico II', Naples, Italy."
[NT 15003449]:	Introduction -- Page and Wootters theory -- Complement of the Hamiltonian -- Time Observables in a Timeless Universe -- Thermal Equilibrium and Emergence of Time -- Quantum Spacetime -- Quantum Clocks in a Gravitational Field -- Conclusions.
Contained By:	Springer Nature eBook
Subject:	Quantum theory. -
Online resource:	https://doi.org/10.1007/978-3-031-52352-6
ISBN:	9783031523526

On the emergence of time and space in closed quantum systems
Favalli, Tommaso.

On the emergence of time and space in closed quantum systems[electronic resource] /by Tommaso Favalli. - Cham :Springer Nature Switzerland :2024. - xxi, 163 p. :ill. (some col.), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral thesis accepted by University of Naples 'Federico II', Naples, Italy."

Introduction -- Page and Wootters theory -- Complement of the Hamiltonian -- Time Observables in a Timeless Universe -- Thermal Equilibrium and Emergence of Time -- Quantum Spacetime -- Quantum Clocks in a Gravitational Field -- Conclusions.

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.

ISBN: 9783031523526

Standard No.: 10.1007/978-3-031-52352-6doiSubjects--Topical Terms:

516552
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

On the emergence of time and space in closed quantum systems
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505 0 $a Introduction -- Page and Wootters theory -- Complement of the Hamiltonian -- Time Observables in a Timeless Universe -- Thermal Equilibrium and Emergence of Time -- Quantum Spacetime -- Quantum Clocks in a Gravitational Field -- Conclusions.
520 $a 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.
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