03563nam a22005655i 4500 978-3-031-52352-6 DE-He213 20251030111421.0 cr nn 008mamaa 240209s2024 sz | s |||| 0|eng d 9783031523526 978-3-031-52352-6 10.1007/978-3-031-52352-6 doi QC178 PHDV bicssc SCI033000 bisacsh PHDV thema Favalli, Tommaso. author. aut http://id.loc.gov/vocabulary/relators/aut 70826 On the Emergence of Time and Space in Closed Quantum Systems [electronic resource] / by Tommaso Favalli. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XXI, 163 p. 8 illus., 6 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5061 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. Gravitation. Science. Quantum physics. 66608 Mathematical physics. Classical and Quantum Gravity. 69409 Foundations of Physics and Cosmology. 70516 Quantum Physics. 66608 Theoretical, Mathematical and Computational Physics. 65563 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031523519 Printed edition: 9783031523533 Printed edition: 9783031523540 Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5061 66370 https://doi.org/10.1007/978-3-031-52352-6 ZDB-2-PHA ZDB-2-SXP 57558 57558