The universe gets rid of its entropy by sending it into black holes, which eventually evaporate. Disorderly solar systems full of planets and ecosystems swallowed up into nice neat points.
I think this analogy holds. The sovereign entities will now get sucked down into financial black holes before finally disappearing in a puff of fiat currency. Thus leaving the system purged and reset – ripe for colonization by a new wave of entropy producing entities in the post national era.