we are currently aware of the possibility of there being an infinite number of dimensions, this does not answer any of 'today's perplexing problems', it poses even more infinitely challenging problems! Read Parallel Worlds by Michio Kaku.
But the only rational, human way of dealing with this conundrum is to use reason and knowledge to fill these gaps as best we can in order to make some sense of it all. The real problem is that we are not sure what questions we should be asking ourselves, not actually achieving the definitive answers.
In the meant time I agree whole heartedly with mibn2cweus, there's not point filling this knowledge gap with a God and being done with it. In many ways it is neither here nor there as to weather a God exists, what's important is that you and I exist, right now.