Pretty sure this is flat out wrong; the Many Worlds hypothesis does not include universes in which universal constants differ.
Pretty sure this is flat out wrong; the Many Worlds hypothesis does not include universes in which universal constants differ.
MWI is just one of multiple multiverse ideas. Most multiverse ideas (like Tegmark's Levels I, II, and IV) are basically what-if ideas without any direct evidence, but MWI specifically happens to be a more-grounded idea based on trying to make sense of what the (well-tested) Schrodinger equation says about reality.
The first part of your description of MWI ("The many-worlds interpretation of quantum mechanics imagines our universe as one node in an infinitely branching tree of universes where every possible quantum outcome exists in its own universe.") is pretty good, if a slight though common simplification (different branches aren't entirely separate, so envisioning it as a tree is only mostly correct; different branches can sum together or cancel each other out if their configurations are identical).
Nitpick: The Schrödinger equation predicts unitary time evolution (which is another way of saying that physical systems evolve in a deterministic manner). Interpretations of quantum mechanics exist to make sense of the part of quantum mechanics that doesn't follow unitary time evolution, namely the measurement process.
MWI honestly sounds like the philosophical equivalent of No True Scotsman with added Meatloaf - no one is really sure what it means in detail, but they're somehow sure it doesn't mean that.
it's questionable if it's one world or a split happens and we have multiple worlds. I would lean toward one world with phenomena that we don't really understand.
Regular quantum mechanics is compatible with the many-worlds interpretation (of course it is), but talk of fundamental constants changing would require new theories that we don't have (not to mention evidence of those theories). That would be something incompatible with quantum mechanics as we know it, within which the fundamental constants are, well, constant.
There are even some papers that suggest the worlds of eternal inflation and MWI are the same.
If variations of ‘me’ exist in all worlds, am I the universal constant?
Speaking as the center of the universe as far I’m concerned over here :p
If we assume the universe is deterministic, then changing any of the starting variables of the universe will cause a different course of events playing out. If the speed of light were different, for example, a different course of events would have played out and you and I would have never come into existence.
If we assume the universe is not deterministic, then even if we had another universe with the exact same starting variables, the chances that things would play out exactly the same are also absurdly small.
Just because a set of things is infinite does not mean that it will contain everything. I could have an infinite set of odd numbers, and none of those numbers will be even. It strikes me that infinite number of universes would be the same.
The multiverse theory is usually used for having many universes with different constants and the like. Of course word use may vary.