Time-like definition of quaternions in exterior algebra
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866918441507618816 |
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| author | Colombaro, Ivano |
| author_facet | Colombaro, Ivano |
| contents | A formal description of quaternions by means of exterior calculus is presented. Considering a three-dimensional space-time characterized by three time-like coordinates, we have been able to consistently recover a suitable formulation of quaternions by means of the properties arising from exterior algebra and calculus. As an application, it is also illustrated how rotations may be written in terms of quaternions, in accordance with definition provided in exterior algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_10293 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Time-like definition of quaternions in exterior algebra Colombaro, Ivano General Physics 20G20, 15A75 A formal description of quaternions by means of exterior calculus is presented. Considering a three-dimensional space-time characterized by three time-like coordinates, we have been able to consistently recover a suitable formulation of quaternions by means of the properties arising from exterior algebra and calculus. As an application, it is also illustrated how rotations may be written in terms of quaternions, in accordance with definition provided in exterior algebra. |
| title | Time-like definition of quaternions in exterior algebra |
| topic | General Physics 20G20, 15A75 |
| url | https://arxiv.org/abs/2302.10293 |