View in EDS

Radiation-reaction on the straight-line motion of a point charge accelerated by a constant applied electric field in an electromagnetic Bopp–Landé–Thomas–Podolsky vacuum.

Saved in:
Bibliographic Details
Title: Radiation-reaction on the straight-line motion of a point charge accelerated by a constant applied electric field in an electromagnetic Bopp–Landé–Thomas–Podolsky vacuum.
Authors: McGuigan, Ryan J.1 (AUTHOR), Kiessling, Michael K.-H.2 (AUTHOR) miki@math.rutgers.edu
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 3/30/2026, Vol. 41 Issue 9, p1-32. 32p.
Subjects: Electrodynamics, Particle acceleration, Electromagnetic fields, Radiation, Perturbation theory
Abstract: The radiation-reaction problem of standard Lorentz electrodynamics with point charges is pathological, standing in contrast to Bopp–Landé–Thomas–Podolsky (BLTP) electrodynamics, where it is in fact well defined and calculable, as reported in Ref. 20. To demonstrate the viability of BLTP electrodynamics, we consider the BLTP analogue of the radiation reaction of a classical point charge accelerated from rest by a static homogeneous capacitor plate field, and calculate it up to O (ϰ 4) in a formal expansion about ϰ = 0 in powers of ϰ, Bopp's reciprocal length, a new electrodynamics parameter introduced by BLTP theory. In Ref. 11, the radiation-reaction corrections to test-particle motion were explicitly computed to O (ϰ 3) , the first nonvanishing order. In this paper, a crucial question regarding this "small-ϰ" expansion, raised in Ref. 11, is answered as follows: The motions computed with terms O (ϰ 3) included are mathematically accurate approximations to physically reasonable solutions of the actual BLTP initial value problem for short times t, viz. when ϰ c t ≪ 1 , where c is the speed of light in vacuo, but their unphysical behavior over much longer times does not accurately approximate the actual BLTP solutions even when the dimensionless parameter ϰ e 2 ∕ | m b | c 2 ≪ 1 , where e is the elementary charge and m b the bare rest mass of the electron. This has the important implication that BLTP electrodynamics remains a viable contender for an accurate classical electrodynamics with point charges that does not suffer from the infinite self-interaction problems of textbook Lorentz electrodynamics with point charges. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Description
Abstract:The radiation-reaction problem of standard Lorentz electrodynamics with point charges is pathological, standing in contrast to Bopp–Landé–Thomas–Podolsky (BLTP) electrodynamics, where it is in fact well defined and calculable, as reported in Ref. 20. To demonstrate the viability of BLTP electrodynamics, we consider the BLTP analogue of the radiation reaction of a classical point charge accelerated from rest by a static homogeneous capacitor plate field, and calculate it up to O (ϰ 4) in a formal expansion about ϰ = 0 in powers of ϰ, Bopp's reciprocal length, a new electrodynamics parameter introduced by BLTP theory. In Ref. 11, the radiation-reaction corrections to test-particle motion were explicitly computed to O (ϰ 3) , the first nonvanishing order. In this paper, a crucial question regarding this "small-ϰ" expansion, raised in Ref. 11, is answered as follows: The motions computed with terms O (ϰ 3) included are mathematically accurate approximations to physically reasonable solutions of the actual BLTP initial value problem for short times t, viz. when ϰ c t ≪ 1 , where c is the speed of light in vacuo, but their unphysical behavior over much longer times does not accurately approximate the actual BLTP solutions even when the dimensionless parameter ϰ e 2 ∕ | m b | c 2 ≪ 1 , where e is the elementary charge and m b the bare rest mass of the electron. This has the important implication that BLTP electrodynamics remains a viable contender for an accurate classical electrodynamics with point charges that does not suffer from the infinite self-interaction problems of textbook Lorentz electrodynamics with point charges. [ABSTRACT FROM AUTHOR]
ISSN:0217751X
DOI:10.1142/S0217751X26500442