2013/04/08 by Alejandro Cabo Montes de, Alejandro Cabo Montes de Oca, de Oca, Alejandro Cabo Montes +2
Arts and Humanities · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Crystallography and Radiation Phenomena #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #Twentieth Century Scientific Developments #gr-qc #physics.acc-ph
paper · pdf · doi:10.48550/arxiv.1304.2203
6 pages, 1 figure
arxiv created 2013/04/08 · openalex publication_date 2013/04/08 · arxiv updated 2013/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is underlined that the Lienard-Wiechert solutions indicate that after the external force is instantly removed from a small charged particle, the field in its close neighborhood becomes a Lorentz boosted Coulomb field. It suggests that the force of the self-field on the particle should instantaneously vanish after a sudden removal of the external force. A minimal modification of Abraham-Lorentz-Dirac equation is searched seeking to implement this property. A term assuring this behavior is added to the equation by maintaining Lorentz covariance and vanishing scalar product with the four-velocity. The simple Dirac constant force example does not show runaway acceleration.