Radiation reaction and the accelerationdependent mass increase of a charged sphere undergoing uniform acceleration
Abstract
Photon emission from a uniformly accelerated charge is among the most mysterious physical phenomena. Theories based on the LorentzAbrahamDirac equation mostly conclude that a uniformly accelerated point charge cannot feel radiation reaction. Such a conclusion suggests that the origin of the photon energy is unclear. In this paper, we determine the selfforce of a uniformly accelerated charged sphere using the Lorentz force equation, with an assumption that the sphere is Lorentzcontracted during the acceleration. For large acceleration, the calculated selfforce converges to the radiation reaction (given by the Larmor formula) via a new factor γ_{a}, which describes an accelerationdependent increase in the effective mass. This increased mass makes it harder to accelerate the particle (compared to a pointcharge), which means more energy should be provided to the particle in order to get the expected acceleration. This extra energy can be interpreted as the origin of the photon energy.
 Publication:

Physics Letters A
 Pub Date:
 August 2021
 DOI:
 10.1016/j.physleta.2021.127445
 arXiv:
 arXiv:2107.00043
 Bibcode:
 2021PhLA..40727445K
 Keywords:

 Radiation reaction;
 Uniform acceleration;
 Electrodynamics;
 Physics  Classical Physics
 EPrint:
 9 pages, 1 figure