期刊
PHYSICAL REVIEW D
卷 90, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.90.124057
关键词
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资金
- German-Israeli Foundation (GIF)
- Deutsche Forschungsgemeinschaft [LA905/10-1]
- Deutsche Forschungsgemeinschaft within the Research Training Group 1620 Models of Gravity.
Finsler geometry is a natural generalization of pseudo-Riemannian geometry. It can be motivated e. g. by a modified version of the Ehlers-Pirani-Schild axiomatic approach to space-time theory. Also, some scenarios of quantum gravity suggest a modified dispersion relation which could be phrased in terms of Finsler geometry. On a Finslerian space-time, the universality of free fall is still satisfied but local Lorentz invariance is violated in a way not covered by standard Lorentz invariance violation schemes. In this paper we consider a Finslerian modification of Maxwell's equations. The corrections to the Coulomb potential and to the hydrogen energy levels are computed. We find that the Finsler metric corrections yield a splitting of the energy levels. Experimental data provide bounds for the Finsler parameters.
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