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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.15466 |
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| _version_ | 1866913444583702528 |
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| author | Aldaya, Victor Guerrero, Julio López-Ruiz, Francisco F. |
| author_facet | Aldaya, Victor Guerrero, Julio López-Ruiz, Francisco F. |
| contents | An algebraic characterization of the contractions of the Poincaré group permits a proper construction of a non-relativistic limit of its tachyonic representation. We arrive at a consistent, nonstandard representation of the Galilei group which was disregarded long ago by supposedly unphysical properties. The corresponding quantum (and classical) theory shares with the relativistic one their fundamentals, and serves as a toy model to better comprehend the unusual behavior of the tachyonic representation. For instance, we see that evolution takes place in a spatial coordinate rather than time, as for relativistic tachyons, but the modulus of the three-momentum is the same for all Galilean observers, leading to a new dispersion relation for a Galilean system. Furthermore, the tachyonic objects described by the new representation cannot be regarded as localizable in the standard sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15466 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-relativistic tachyons: a new representation of the Galilei group Aldaya, Victor Guerrero, Julio López-Ruiz, Francisco F. High Energy Physics - Theory Mathematical Physics Quantum Physics An algebraic characterization of the contractions of the Poincaré group permits a proper construction of a non-relativistic limit of its tachyonic representation. We arrive at a consistent, nonstandard representation of the Galilei group which was disregarded long ago by supposedly unphysical properties. The corresponding quantum (and classical) theory shares with the relativistic one their fundamentals, and serves as a toy model to better comprehend the unusual behavior of the tachyonic representation. For instance, we see that evolution takes place in a spatial coordinate rather than time, as for relativistic tachyons, but the modulus of the three-momentum is the same for all Galilean observers, leading to a new dispersion relation for a Galilean system. Furthermore, the tachyonic objects described by the new representation cannot be regarded as localizable in the standard sense. |
| title | Non-relativistic tachyons: a new representation of the Galilei group |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2407.15466 |