English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We analyse the Finsler geometries of the kinematic space of spinless andspinning electrically charged particles in an external Ra\~{n}ada field. Weconsider the most general actions that are invariant under the Lorentz,electromagnetic gauge and reparametrization transformations. The Finslergeometries form a set parametrized by the gauge fields in each case. We give asimple method to calculate the fundamental objects of the Finsler geometry ofthe kinematic space of a particle in a generic electromagnetic field. Then weapply this method to calculate the geodesic equations of the spinless andspinning particles. Also, we show that the electromagnetic duality in theRa\~{n}ada background induces a simple dual map in the set of Finslergeometries. The duality map has a simple interpretation in terms of anelectrically charged particle that interacts with the electromagnetic potentialand a magnetically charged particle that interacts with the dualmagnetoelectric potential. We exemplify the action of the duality map bycalculating the dual geodesic equation.

Finsler Geometries from Topological Electromagnetism