Out-of-argument: Gah!
In-argument: Of course, of course, but if you invert a phase-matter disruptor so that it turns energy into matter (rather than the other way around, naturally), you could theoretically trap chanceons as they form and turn them into solid mass. A star-powered inverter, perhaps powered by our Sun, could than be launched into space. The solid chanceons, when sent into the inverter, will then, due to the inverter's shape (a cone), fling back, inverted as posi-chanceons towards Earth. Naturally, in order to defeat the size requirements we will need Miniaturization I, II, III, IV and V.
(What? GalCiv II is a great game)