Discrete mechanics on unitary octonions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866913569117831168 |
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| author | Grabowski, Janusz Ravanpak, Zohreh |
| author_facet | Grabowski, Janusz Ravanpak, Zohreh |
| contents | In this article we generalize the discrete Lagrangian and Hamiltonian mechanics on Lie groups to non-associative objects generalizing Lie groups (smooth loops). This shows that the associativity assumption is not crucial for mechanics and opens new perspectives. As a working example we obtain the discrete Lagrangian and Hamiltonian mechanics on unitary octonions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_10971 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Discrete mechanics on unitary octonions Grabowski, Janusz Ravanpak, Zohreh Mathematical Physics Differential Geometry 17B66, 17Dxx, 20N05, 22A22, 70G45, 70Hxx In this article we generalize the discrete Lagrangian and Hamiltonian mechanics on Lie groups to non-associative objects generalizing Lie groups (smooth loops). This shows that the associativity assumption is not crucial for mechanics and opens new perspectives. As a working example we obtain the discrete Lagrangian and Hamiltonian mechanics on unitary octonions. |
| title | Discrete mechanics on unitary octonions |
| topic | Mathematical Physics Differential Geometry 17B66, 17Dxx, 20N05, 22A22, 70G45, 70Hxx |
| url | https://arxiv.org/abs/2008.10971 |