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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.02711 |
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| _version_ | 1866909982284316672 |
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| author | Zhu, Jie Li, Hao Ma, Bo-Qiang |
| author_facet | Zhu, Jie Li, Hao Ma, Bo-Qiang |
| contents | Finsler geometry serves as a fundamental and natural extension of Riemannian geometry, providing a valuable framework for investigating Lorentz violation in spacetime. Previous studies have treated the Finsler structures associated with different particles as distinct entities. In this paper, we propose a novel hypothesis suggesting that the Finsler structure may represent an intrinsic property of the universe itself. Under this assumption, we derive a series of modified dispersion relations that have not been previously explored, and we analyze their implications. Our findings indicate that the scales of Lorentz violation for massive particles are proportional to their masses. Furthermore, we demonstrate that this hypothesis aligns well with existing phenomenological results regarding Lorentz violation observed in photons, neutrinos, and electrons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02711 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exploring Lorentz Violation in Spacetime through Universal Finsler Geometry Zhu, Jie Li, Hao Ma, Bo-Qiang General Relativity and Quantum Cosmology Finsler geometry serves as a fundamental and natural extension of Riemannian geometry, providing a valuable framework for investigating Lorentz violation in spacetime. Previous studies have treated the Finsler structures associated with different particles as distinct entities. In this paper, we propose a novel hypothesis suggesting that the Finsler structure may represent an intrinsic property of the universe itself. Under this assumption, we derive a series of modified dispersion relations that have not been previously explored, and we analyze their implications. Our findings indicate that the scales of Lorentz violation for massive particles are proportional to their masses. Furthermore, we demonstrate that this hypothesis aligns well with existing phenomenological results regarding Lorentz violation observed in photons, neutrinos, and electrons. |
| title | Exploring Lorentz Violation in Spacetime through Universal Finsler Geometry |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.02711 |