Reply to "Comment on 'Absence of a consistent classical equation of motion for a mass-renormalized point charge'" (arXiv:2511.02865v1, 3 Nov 2025)

Abstract: By means of a brief review of the derivation of the causal modified Lorentz-Abraham-Dirac classical equation of motion from the renormalization of the mass in the modified equation of motion of an extended charged sphere as its radius approaches zero, it is shown that Zin and Pylak's objection that the jumps in velocity allowed across transition intervals near nonanalytic points in time of the externally applied force produce delta functions in the radiated fields is incorrect.