The $$(1+3)$$ ( 1 + 3 ) -dimensional ‘quantum principle of relativity’ is Einstein’s principle of relativity
Abstract We show that the $$(1+3)$$ ( 1 + 3 ) -dimensional ‘superboost’ operators, proposed in Dragan and Ekert’s most recent work on superluminal reference frames (Dragan et al. in Class Quantum Gravity 40(2): 025013, 2023), are simply the canonical Lorentz boosts, expressed in nonstandard notation...
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13667-9 |
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| author | Matthew J. Lake |
| author_facet | Matthew J. Lake |
| author_sort | Matthew J. Lake |
| collection | DOAJ |
| description | Abstract We show that the $$(1+3)$$ ( 1 + 3 ) -dimensional ‘superboost’ operators, proposed in Dragan and Ekert’s most recent work on superluminal reference frames (Dragan et al. in Class Quantum Gravity 40(2): 025013, 2023), are simply the canonical Lorentz boosts, expressed in nonstandard notation. Their $$(1+3)$$ ( 1 + 3 ) -dimensional ‘superflip’, which is claimed to interchange time and space dimensions for a superluminal observer, travelling with infinite speed, is equivalent to applying the identity operator together with an arbitrary relabeling. Physically, it corresponds to staying put within the canonical rest frame, then renaming space as ‘time’ and time as ‘space’. We conclude that their extension of the ‘quantum principle of relativity’, proposed in earlier work on $$(1+1)$$ ( 1 + 1 ) -dimensional spacetimes (Dragan and Ekert in New J Phys 22(3): 033038, 2020), to ordinary Minkowski space, is simply Einstein’s principle of relativity, proposed in 1905. |
| format | Article |
| id | doaj-art-f9d046ff90a74fbb8eddafaf6f1f86f0 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-f9d046ff90a74fbb8eddafaf6f1f86f02025-02-02T12:38:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-018511710.1140/epjc/s10052-024-13667-9The $$(1+3)$$ ( 1 + 3 ) -dimensional ‘quantum principle of relativity’ is Einstein’s principle of relativityMatthew J. Lake0Faculty of Physics, Babeş-Bolyai UniversityAbstract We show that the $$(1+3)$$ ( 1 + 3 ) -dimensional ‘superboost’ operators, proposed in Dragan and Ekert’s most recent work on superluminal reference frames (Dragan et al. in Class Quantum Gravity 40(2): 025013, 2023), are simply the canonical Lorentz boosts, expressed in nonstandard notation. Their $$(1+3)$$ ( 1 + 3 ) -dimensional ‘superflip’, which is claimed to interchange time and space dimensions for a superluminal observer, travelling with infinite speed, is equivalent to applying the identity operator together with an arbitrary relabeling. Physically, it corresponds to staying put within the canonical rest frame, then renaming space as ‘time’ and time as ‘space’. We conclude that their extension of the ‘quantum principle of relativity’, proposed in earlier work on $$(1+1)$$ ( 1 + 1 ) -dimensional spacetimes (Dragan and Ekert in New J Phys 22(3): 033038, 2020), to ordinary Minkowski space, is simply Einstein’s principle of relativity, proposed in 1905.https://doi.org/10.1140/epjc/s10052-024-13667-9 |
| spellingShingle | Matthew J. Lake The $$(1+3)$$ ( 1 + 3 ) -dimensional ‘quantum principle of relativity’ is Einstein’s principle of relativity European Physical Journal C: Particles and Fields |
| title | The $$(1+3)$$ ( 1 + 3 ) -dimensional ‘quantum principle of relativity’ is Einstein’s principle of relativity |
| title_full | The $$(1+3)$$ ( 1 + 3 ) -dimensional ‘quantum principle of relativity’ is Einstein’s principle of relativity |
| title_fullStr | The $$(1+3)$$ ( 1 + 3 ) -dimensional ‘quantum principle of relativity’ is Einstein’s principle of relativity |
| title_full_unstemmed | The $$(1+3)$$ ( 1 + 3 ) -dimensional ‘quantum principle of relativity’ is Einstein’s principle of relativity |
| title_short | The $$(1+3)$$ ( 1 + 3 ) -dimensional ‘quantum principle of relativity’ is Einstein’s principle of relativity |
| title_sort | 1 3 1 3 dimensional quantum principle of relativity is einstein s principle of relativity |
| url | https://doi.org/10.1140/epjc/s10052-024-13667-9 |
| work_keys_str_mv | AT matthewjlake the1313dimensionalquantumprincipleofrelativityiseinsteinsprincipleofrelativity AT matthewjlake 1313dimensionalquantumprincipleofrelativityiseinsteinsprincipleofrelativity |