1.

Record Nr.

UNINA9910835064403321

Autore

Favalli Tommaso

Titolo

On the Emergence of Time and Space in Closed Quantum Systems [[electronic resource] /] / by Tommaso Favalli

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024

ISBN

3-031-52352-0

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (177 pages)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5061

Disciplina

530.1

Soggetti

Gravitation

Science

Quantum physics

Mathematical physics

Classical and Quantum Gravity

Foundations of Physics and Cosmology

Quantum Physics

Theoretical, Mathematical and Computational Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.