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arXiv · 1411.2670

Finsler-type modification of the Coulomb law

Yakov Itin·Claus Lämmerzahl·Volker Perlick
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Abstract

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 spacetime, 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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Yakov Itin, Claus Lämmerzahl, Volker Perlick. 2014-12-29. Finsler-type modification of the Coulomb law. https://doi.org/10.1103/physrevd.90.124057

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