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Covariant Electromagnetism in Past-Light-Cone Formalism

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arxiv 2408.05481 v3 pith:UVACVVS4 submitted 2024-08-10 physics.class-ph hep-phphysics.comp-phphysics.ed-ph

classification physics.class-phhep-phphysics.comp-phphysics.ed-ph
keywords covariantmanifestlypointchargeselectromagneticelectromagnetismformalismformulation
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We present a manifestly covariant formulation of relativistic electromagnetism, focusing on the computation of electromagnetic fields from moving charges in a manifestly Lorentz-covariant manner. The electromagnetic field at a given spacetime point is determined by the motion of point charges at the intersection of their worldlines with the past light cone of the spacetime point, ensuring causal consistency. This formalism provides a manifestly covariant generalization of the Li\'enard-Wiechert potentials and allows direct implementation on computers. We compare our formulation with standard textbook approaches and analyze its behavior in various physical limits.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Seeing through the light cone: Visualizing electromagnetic fields in special relativity

    physics.ed-ph 2025-05 conditional novelty 6.0 of 10

    A fully relativistic, past-light-cone simulation of electromagnetic fields around moving charges lets users see how electric and magnetic fields transform between inertial frames.

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