2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54905We calculate the first order maximal acceleration corrections to the classical electrodynamics of a particle in external electromagnetic fields. These include additional dissipation terms, the presence of a critical electric field, a correction to the cyclotron frequency of an electron in a constant magnetic field and the power radiated by the particle. The electric effects are sizeble at the fields that are considered attainable with ultrashort $TW$ laser pulses on plasmas.LaTex, 10 pages, no figures, accepted for publication in Il Nuovo Cimento BHigh Energy Physics - Theorytext