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- Title
Lorentz Violation in Finsler Geometry.
- Authors
Zhu, Jie; Ma, Bo-Qiang
- Abstract
Lorentz invariance is one of the foundations of modern physics; however, Lorentz violation may happen from the perspective of quantum gravity, and plenty of studies on Lorentz violation have arisen in recent years. As a good tool to explore Lorentz violation, Finsler geometry is a natural and fundamental generalization of Riemann geometry. The Finsler structure depends on both coordinates and velocities. Here, we simply introduce the mathematics of Finsler geometry. We review the connection between modified dispersion relations and Finsler geometries and discuss the physical influence from Finsler geometry. We review the connection between Finsler geometries and theories of Lorentz violation, such as the doubly special relativity, the standard-model extension, and the very special relativity.
- Subjects
RIEMANNIAN geometry; SPECIAL relativity (Physics); LORENTZ invariance; LORENTZ theory; DISPERSION relations
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 5, p978
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15050978