# A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Land\\'e-Thomas-Podolsky vacuum

Source: [A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Land\\'e-Thomas-Podolsky vacuum](<https://www.sota2.com/research/paper/68fa47de1e209131ce92b55c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:54:49.335Z

Authors: Holly K. Carley, Michael K.-H. Kiessling

Published: 2023-03-03T05:45:14.000Z

## Abstract

The relativistic problem of motion of a classical electrical point charge that has been placed between the plates of a charged capacitor and then released from rest is well-posed in Bopp-Land\\'e-Thomas-Podolsky (BLTP) electrodynamics. That theory introduces a single new parameter, Bopp's $\\varkappa$, a reciprocal length. The present article concerns the small-$\\varkappa$ regime. Radiation-reaction effects on the motion are shown to appear at order $\\varkappa^3$. It is found that in the initial phase the motion is accurately accounted for by test particle theory, with the inertia determined by the bare mass of the particle. Subsequently, radiation-reaction effects cause substantial deviations from the test particle motion.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2303.01720>)

[PDF](<https://arxiv.org/pdf/2303.01720.pdf>)