My comments above are certainly inductive rather than empirical in nature. I think the potential (or lack of same) for empirical observation is about the same; I can imagine being transported to 'other dimensions' just as I can imagine being with miraculous powers of creation and destruction.

However, I disagree with your implied argument that one is unnecessarily multiplying entities by postulating multiple universes rather than the philosophically more economical single being. When people postulate a God, they usually ascribe infinite power and potential to that being. By contrast, the idea of multiple universes assumes that they are individually finite and have fundamental limitations, which is in line with empirical experience.