Exploring quaternion framework for subluminal to superluminal space transformations in particle dynamics
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917904064184320 |
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| author | Chanyal, B. C. Karki, L. S. Joshi, P. K. Chauhan, B. C. S. |
| author_facet | Chanyal, B. C. Karki, L. S. Joshi, P. K. Chauhan, B. C. S. |
| contents | The present study explores the behavior of quaternionic four-space algebra for subluminal and superluminal spaces. We formulate the generalized Lorentz transformations for quaternionic subluminal, superluminal, and their combined Minkowski spaces. Furthermore, we have studied the relativistic phenomenon of quaternionic length contraction, time dilation, velocity addition, and the Doppler effect for the combination of subluminal and superluminal space. We claim that the transformation between two superluminal spaces is ultimately a subluminal space; the tachyonic behavior reveals itself in the consequences when the two frames are in different spaces (i.e., generalized subluminal-superluminal spaces). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16408 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring quaternion framework for subluminal to superluminal space transformations in particle dynamics Chanyal, B. C. Karki, L. S. Joshi, P. K. Chauhan, B. C. S. General Physics 11R52, 83A05, 51B20 The present study explores the behavior of quaternionic four-space algebra for subluminal and superluminal spaces. We formulate the generalized Lorentz transformations for quaternionic subluminal, superluminal, and their combined Minkowski spaces. Furthermore, we have studied the relativistic phenomenon of quaternionic length contraction, time dilation, velocity addition, and the Doppler effect for the combination of subluminal and superluminal space. We claim that the transformation between two superluminal spaces is ultimately a subluminal space; the tachyonic behavior reveals itself in the consequences when the two frames are in different spaces (i.e., generalized subluminal-superluminal spaces). |
| title | Exploring quaternion framework for subluminal to superluminal space transformations in particle dynamics |
| topic | General Physics 11R52, 83A05, 51B20 |
| url | https://arxiv.org/abs/2501.16408 |