Galilean relativity and its invariant bilinear forms
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2006
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| _version_ | 1866911780259758080 |
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| author | Ratsimbarison, Herintsitohaina |
| author_facet | Ratsimbarison, Herintsitohaina |
| contents | We construct the family of bilinear forms gG on R3+1 for which Galilean boosts and spatial rotations are isometries. The key feature of these bilinear forms is that they are parametrized by a Galilean invariant vector whose physical interpretation is rather unclear. At the end of the paper, we construct the Poisson bracket associated with the (nondegenerate) antisymmetric part of gG. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_ph_0605055 |
| institution | arXiv |
| publishDate | 2006 |
| record_format | arxiv |
| spellingShingle | Galilean relativity and its invariant bilinear forms Ratsimbarison, Herintsitohaina Mathematical Physics We construct the family of bilinear forms gG on R3+1 for which Galilean boosts and spatial rotations are isometries. The key feature of these bilinear forms is that they are parametrized by a Galilean invariant vector whose physical interpretation is rather unclear. At the end of the paper, we construct the Poisson bracket associated with the (nondegenerate) antisymmetric part of gG. |
| title | Galilean relativity and its invariant bilinear forms |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/math-ph/0605055 |