Revisiting noncommutative spacetimes from the relative locality principle
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915228078309376 |
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| author | Relancio, J. J. |
| author_facet | Relancio, J. J. |
| contents | Relativistic deformed kinematics leads to a loss of the absolute locality of interactions. In previous studies, some models of noncommutative spacetimes in a two-particle system that implements locality were considered. In this work, we present a characterization of the Poisson-Lie algebras formed by the noncommutative space-time coordinates of a multi-particle system and Lorentz generators as a possible restriction on these models. The relativistic deformed kinematics derived from these algebras are also discussed. Finally, we show its connection with cotangent bundle geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03378 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisiting noncommutative spacetimes from the relative locality principle Relancio, J. J. High Energy Physics - Theory Mathematical Physics Relativistic deformed kinematics leads to a loss of the absolute locality of interactions. In previous studies, some models of noncommutative spacetimes in a two-particle system that implements locality were considered. In this work, we present a characterization of the Poisson-Lie algebras formed by the noncommutative space-time coordinates of a multi-particle system and Lorentz generators as a possible restriction on these models. The relativistic deformed kinematics derived from these algebras are also discussed. Finally, we show its connection with cotangent bundle geometries. |
| title | Revisiting noncommutative spacetimes from the relative locality principle |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2504.03378 |