Classical-physics applications for Finsler space
arXiv:1504.07935 · doi:10.1016/j.physletb.2015.04.047
Abstract
The classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler space parametrized by a prescribed background covector field. This work identifies systems in classical physics that are governed by the three-dimensional version of Finsler space and constructs a geodesic for a sample non-constant choice for the background covector. The existence of these classical analogues demonstrates that Finsler spaces possess applications in conventional physics, which may yield insight into the propagation of SME fermions on curved manifolds.
8 pages, 2 figures, accepted for publication in Physics Letters B
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