A cosmological pseudoscalar field coupled to hypercharge topological number
density can exponentially amplify hyperelectric and hypermagnetic fields w
hile coherently rolling or oscillating, leading to the formation of a time-
dependent condensate of topological number density. The topological condens
ate can be converted, under certain conditions, into baryons in sufficient
quantity to explain the observed baryon asymmetry in the Universe. The ampl
ified hypermagnetic field can perhaps sufficiently strengthen the electrowe
ak phase transition, and by doings so save any preexisting baryon number as
ymmetry from extinction. [S0031-9007(99)08807-9].