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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2410.07017 |
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| _version_ | 1866915136805011456 |
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| author | Lake, Matthew J. |
| author_facet | Lake, Matthew J. |
| contents | We show that the $(1+3)$-dimensional `superboost' operators, proposed in Dragan and Ekert's most recent work on superluminal reference frames \cite{Dragan:2022txt}, are simply the canonical Lorentz boosts, expressed in nonstandard notation. Their $(1+3)$-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 $(1+1)$-dimensional spacetimes \cite{Dragan:2019grn}, to ordinary Minkowski space \cite{Dragan:2022txt}, is simply Einstein's principle of relativity, proposed in 1905. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07017 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The (1+3)-dimensional 'quantum principle of relativity' is Einstein's principle of relativity Lake, Matthew J. General Relativity and Quantum Cosmology Quantum Physics We show that the $(1+3)$-dimensional `superboost' operators, proposed in Dragan and Ekert's most recent work on superluminal reference frames \cite{Dragan:2022txt}, are simply the canonical Lorentz boosts, expressed in nonstandard notation. Their $(1+3)$-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 $(1+1)$-dimensional spacetimes \cite{Dragan:2019grn}, to ordinary Minkowski space \cite{Dragan:2022txt}, is simply Einstein's principle of relativity, proposed in 1905. |
| title | The (1+3)-dimensional 'quantum principle of relativity' is Einstein's principle of relativity |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2410.07017 |