Quantum principle of relativity
Quantum mechanics is an incredibly successful theory and yet the statistical nature of its predictions is hard to accept and has been the subject of numerous debates. The notion of inherent randomness, something that happens without any cause, goes against our rational understanding of reality. To a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab76f7 |
| _version_ | 1797750330137509888 |
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| author | Andrzej Dragan Artur Ekert |
| author_facet | Andrzej Dragan Artur Ekert |
| author_sort | Andrzej Dragan |
| collection | DOAJ |
| description | Quantum mechanics is an incredibly successful theory and yet the statistical nature of its predictions is hard to accept and has been the subject of numerous debates. The notion of inherent randomness, something that happens without any cause, goes against our rational understanding of reality. To add to the puzzle, randomness that appears in non-relativistic quantum theory tacitly respects relativity, for example, it makes instantaneous signaling impossible. Here, we argue that this is because the special theory of relativity can itself account for such a random behavior. We show that the full mathematical structure of the Lorentz transformation, the one which includes the superluminal part, implies the emergence of non-deterministic dynamics, together with complex probability amplitudes and multiple trajectories. This indicates that the connections between the two seemingly different theories are deeper and more subtle than previously thought. |
| first_indexed | 2024-03-12T16:31:10Z |
| format | Article |
| id | doaj.art-1e490bf7bb5e41c7bd6b621c7580310c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:10Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-1e490bf7bb5e41c7bd6b621c7580310c2023-08-08T15:28:36ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122303303810.1088/1367-2630/ab76f7Quantum principle of relativityAndrzej Dragan0Artur Ekert1Institute of Theoretical Physics, University of Warsaw , Pasteura 5, 02-093 Warsaw, Poland; Centre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, 117543 Singapore, SingaporeCentre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, 117543 Singapore, Singapore; Mathematical Institute, University of Oxford , Woodstock Road, Oxford OX2 6GG, United KingdomQuantum mechanics is an incredibly successful theory and yet the statistical nature of its predictions is hard to accept and has been the subject of numerous debates. The notion of inherent randomness, something that happens without any cause, goes against our rational understanding of reality. To add to the puzzle, randomness that appears in non-relativistic quantum theory tacitly respects relativity, for example, it makes instantaneous signaling impossible. Here, we argue that this is because the special theory of relativity can itself account for such a random behavior. We show that the full mathematical structure of the Lorentz transformation, the one which includes the superluminal part, implies the emergence of non-deterministic dynamics, together with complex probability amplitudes and multiple trajectories. This indicates that the connections between the two seemingly different theories are deeper and more subtle than previously thought.https://doi.org/10.1088/1367-2630/ab76f7quantum theoryspecial relativityquantum indeterminacy |
| spellingShingle | Andrzej Dragan Artur Ekert Quantum principle of relativity New Journal of Physics quantum theory special relativity quantum indeterminacy |
| title | Quantum principle of relativity |
| title_full | Quantum principle of relativity |
| title_fullStr | Quantum principle of relativity |
| title_full_unstemmed | Quantum principle of relativity |
| title_short | Quantum principle of relativity |
| title_sort | quantum principle of relativity |
| topic | quantum theory special relativity quantum indeterminacy |
| url | https://doi.org/10.1088/1367-2630/ab76f7 |
| work_keys_str_mv | AT andrzejdragan quantumprincipleofrelativity AT arturekert quantumprincipleofrelativity |