Classical-physics applications for Finsler $b$ space

Joshua Foster; Ralf Lehnert

doi:10.1016/j.physletb.2015.04.047

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arXiv · 1504.07935

Classical-physics applications for Finsler $b$ space

Joshua Foster·Ralf Lehnert

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Abstract

The classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler $b$ 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 $b$ space and constructs a geodesic for a sample non-constant choice for the background covector. The existence of these classical analogues demonstrates that Finsler $b$ spaces possess applications in conventional physics, which may yield insight into the propagation of SME fermions on curved manifolds.

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Joshua Foster, Ralf Lehnert. 2015-04-23. Classical-physics applications for Finsler $b$ space. https://doi.org/10.1016/j.physletb.2015.04.047

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