[tim333]

Yeah usually the Many Worlds hypothesis has the same constants, certainly as Everett proposed it.

The multiverse theory is usually used for having many universes with different constants and the like. Of course word use may vary.

[philipov]

You're thinking of the Cosmic Landscape. Many Worlds [Everett] interpretation is branching of the quantum wave function as described by GP. It solves the probabilistic nature of quantum mechanical observables by saying that all possibilities occur, but we only see one of them because we exist in only one branch and branches can't interact. The copy of us in a different branch would see a different outcome.