Time and Evolution in Quantum and Classical Cosmology
We analyze the issue of dynamical evolution and time in quantum cosmology. We emphasize the problem of choice of phase space variables that can play the role of a time parameter in such a way that for expectation values of quantum operators the classical evolution is reproduced. We show that it is n...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/7/7/219 |
| _version_ | 1827688340600651776 |
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| author | Alexander Yu Kamenshchik Jeinny Nallely Pérez Rodríguez Tereza Vardanyan |
| author_facet | Alexander Yu Kamenshchik Jeinny Nallely Pérez Rodríguez Tereza Vardanyan |
| author_sort | Alexander Yu Kamenshchik |
| collection | DOAJ |
| description | We analyze the issue of dynamical evolution and time in quantum cosmology. We emphasize the problem of choice of phase space variables that can play the role of a time parameter in such a way that for expectation values of quantum operators the classical evolution is reproduced. We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory. |
| first_indexed | 2024-03-10T09:53:27Z |
| format | Article |
| id | doaj.art-13be88bf81e342da804ba81194bb0bea |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T09:53:27Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-13be88bf81e342da804ba81194bb0bea2023-11-22T02:30:34ZengMDPI AGUniverse2218-19972021-06-017721910.3390/universe7070219Time and Evolution in Quantum and Classical CosmologyAlexander Yu Kamenshchik0Jeinny Nallely Pérez Rodríguez1Tereza Vardanyan2Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, Via Irnerio 46, 40126 Bologna, ItalyDipartimento di Fisica e Astronomia, Università di Bologna, Via Irnerio 46, 40126 Bologna, ItalyDipartimento di Fisica e Chimica, Università di L’Aquila, 67100 Coppito, ItalyWe analyze the issue of dynamical evolution and time in quantum cosmology. We emphasize the problem of choice of phase space variables that can play the role of a time parameter in such a way that for expectation values of quantum operators the classical evolution is reproduced. We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.https://www.mdpi.com/2218-1997/7/7/219classical and quantum cosmologyWheeler-DeWitt equationtime |
| spellingShingle | Alexander Yu Kamenshchik Jeinny Nallely Pérez Rodríguez Tereza Vardanyan Time and Evolution in Quantum and Classical Cosmology Universe classical and quantum cosmology Wheeler-DeWitt equation time |
| title | Time and Evolution in Quantum and Classical Cosmology |
| title_full | Time and Evolution in Quantum and Classical Cosmology |
| title_fullStr | Time and Evolution in Quantum and Classical Cosmology |
| title_full_unstemmed | Time and Evolution in Quantum and Classical Cosmology |
| title_short | Time and Evolution in Quantum and Classical Cosmology |
| title_sort | time and evolution in quantum and classical cosmology |
| topic | classical and quantum cosmology Wheeler-DeWitt equation time |
| url | https://www.mdpi.com/2218-1997/7/7/219 |
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