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arXiv · 2310.15245

Non-Lorentzian expansions of the Lorentz force and kinematical algebras

José Luis V. Cerdeira·Joaquim Gomis·Axel Kleinschmidt
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Abstract

We consider non-Lorentzian expansions, Galilean and Carrollian, of the Lorentz force equation in which both the particle position and the electro-magnetic field are expanded. There are two well-known limits in the case of a constant field, called electric and magnetic, that are studied separately. We show that the resulting equations of motion follow equivalently from considering a non-linear realisation of a certain infinite-dimensional algebras.

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José Luis V. Cerdeira, Joaquim Gomis, Axel Kleinschmidt. 2023-10-23. Non-Lorentzian expansions of the Lorentz force and kinematical algebras. https://arxiv.org/abs/2310.15245

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