Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finsler Geometries from Topological Electromagnetism   We analyse the Finsler geometries of the kinematic space of spinless and
spinning electrically charged particles in an external Ra\~{n}ada field. We
consider the most general actions that are invariant under the Lorentz,
electromagnetic gauge and reparametrization transformations. The Finsler
geometries form a set parametrized by the gauge fields in each case. We give a
simple method to calculate the fundamental objects of the Finsler geometry of
the kinematic space of a particle in a generic electromagnetic field. Then we
apply this method to calculate the geodesic equations of the spinless and
spinning particles. Also, we show that the electromagnetic duality in the
Ra\~{n}ada background induces a simple dual map in the set of Finsler
geometries. The duality map has a simple interpretation in terms of an
electrically charged particle that interacts with the electromagnetic potential
and a magnetically charged particle that interacts with the dual
magnetoelectric potential. We exemplify the action of the duality map by
calculating the dual geodesic equation.

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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex