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020 _a9783031523526
_9978-3-031-52352-6
024 7 _a10.1007/978-3-031-52352-6
_2doi
050 4 _aQC178
072 7 _aPHDV
_2bicssc
072 7 _aSCI033000
_2bisacsh
072 7 _aPHDV
_2thema
100 1 _aFavalli, Tommaso.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_970826
245 1 0 _aOn the Emergence of Time and Space in Closed Quantum Systems
_h[electronic resource] /
_cby Tommaso Favalli.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXXI, 163 p. 8 illus., 6 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5061
505 0 _aIntroduction -- 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 _aTime, 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.
650 0 _aGravitation.
650 0 _aScience.
650 0 _aQuantum physics.
_966608
650 0 _aMathematical physics.
650 1 4 _aClassical and Quantum Gravity.
_969409
650 2 4 _aFoundations of Physics and Cosmology.
_970516
650 2 4 _aQuantum Physics.
_966608
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_965563
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031523519
776 0 8 _iPrinted edition:
_z9783031523533
776 0 8 _iPrinted edition:
_z9783031523540
830 0 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5061
_966370
856 4 0 _uhttps://doi.org/10.1007/978-3-031-52352-6
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c57558
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