2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/7392We discuss the Bose-Einstein condensation of relativistic vector charged particles in a strong external magnetic field in very dense matter, as may be paired spin-up electrons. We show that for electrons such systems may maintain self-consistently magnetic fields of order in between the interval $10^{10}-10^{13}$ Gauss. This could be the origin of large magnetic fields in some white dwarfs, but may also impose bounds due to the arising of strong anisotropy in the pressures, which may produce a transverse collapse of the star.5 pages, latex documentclass{ws-ijmpd}, no figuresAstrophysicsHigh Energy Physics - PhenomenologyAtomic PhysicsSelf-Magnetization of charged particles and Bose-Einstein Condensationtext