Hans de Vries said:
The hypthesis of Eternal Inflation contains countless numbers of universes (~10500), all with different laws of physics.
Seriously for a moment, a swamp of possibilities is an embarrassment for some ontologies but a necessity for others.
The real question becomes whether there are indeed an infinity of actual universes, or whether there is only a single "realm" of infinite potential and then a single (or a very few) actual universes that can self-organise out of this swamp. Describing this in open systems terms, it would be a draining of the swamp! Only certain (dimensional) structures could dissipate the potential contained in the swamp.
In this view, the swamp is a vagueness, a chaos of dimensional potential. Then the symmetries we find at the root of mathematical structure act as a filter on this swamp, selecting for what can stably exist.
For instance, we know that mathematical structure in number theory diminishes rapidly as we go from 1 to 2, 4 and 8 dimensions. Like a fading echo.
So string theory would be charting the hierarchical path from vague potential to crisp existence. Things get folded up progressively until they become the highly constrained 3+1 dimensional structure that can't fold up any more. Reversing the story (in anthropic fashion), the weak structure found out at monster-dimensions, or 24 then 11 dimensions, becomes an increasingly strong and clear signal as dimensionality shrinks down to the "ideal" of a zero-d point.
This kind of view should please the many mathematical Platonists once they recall that Plato eventually needed a chora to ground his platonic realm of forms. The forms are the crisp harmonic structures that "have to be" because they are the patterns, the topological regularities, that emerge when everything tries to fold itself up in every possible way. But the chora is the vague potential - the swampy ur substance - that is the necessary generative ground.
One day swamps will be celebrated and their character properly modeled! A universe may even be seen as serving the purpose of an expanded second law - the draining of swamps.
Cheers - John McCrone.