Isn't the warp of the universe determined by mass? I wish there was some indication of how he plans to warp space while not having the mass of a star in his ship.
It briefly touches on it, but the idea is to use something called an "Alcubierre drive". Obviously in an article aimed at the layman they won't go into a deep explanation about how such a drive would work, but they do say the first thing they need is an existence proof. This is still very theoretical and it's likely that it's not physically possible to do.