Two times or none?
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918148841668608 |
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| author | Ridley, Michael Cohen, Eliahu |
| author_facet | Ridley, Michael Cohen, Eliahu |
| contents | Attempts to treat time on an equivalent footing with space in quantum mechanics have been apparently dominated by `timeless' approaches, such as the one of Page and Wootters, which allow meaningful discussion of a `time operator'. However, there is an alternative, and significantly less studied approach, due to Bauer, which makes use of the `pseudospin' extension of the state space, effectively adding a backwards-time degree of freedom. This two-time approach allows definition of a `time operator' and moreover bears interesting relations with other time-symmetric formulations of quantum mechanics. We review and compare these approaches to quantum time, emphasizing that there is a subtle choice between the timeless framework and the two-time approach. Finally, we sketch a framework in which the timeless philosophy can be combined with two-time quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two times or none? Ridley, Michael Cohen, Eliahu Quantum Physics Attempts to treat time on an equivalent footing with space in quantum mechanics have been apparently dominated by `timeless' approaches, such as the one of Page and Wootters, which allow meaningful discussion of a `time operator'. However, there is an alternative, and significantly less studied approach, due to Bauer, which makes use of the `pseudospin' extension of the state space, effectively adding a backwards-time degree of freedom. This two-time approach allows definition of a `time operator' and moreover bears interesting relations with other time-symmetric formulations of quantum mechanics. We review and compare these approaches to quantum time, emphasizing that there is a subtle choice between the timeless framework and the two-time approach. Finally, we sketch a framework in which the timeless philosophy can be combined with two-time quantum mechanics. |
| title | Two times or none? |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.22264 |