Of course physics can answer this: the human minds on the different branches can't physically interact. They can't share memories. Each one is going to remember experiencing only its own branch.
Whether this is a problem or not depends on what your conception of consciousness/identity is. I see a conflict or unanswered problem there; you may not.
Wondering why you're a specific one of them and not the other seems equivalent to me to wondering why you're you and not some another person in our own world. I think it's an interesting question, but I'm not sure what an answer to it could possibly look like (since any answer that says why you're you somehow needs to work out differently for other people to explain why they're themselves too) which implies the question is malformed somehow. (If your consciousness were ... someone else, or even switched people it was tracking somehow, it's not like anyone would notice.)
Indeed.
MWI's solution to this is to say the experiments are wrong, and the results are actually the same. It rejects empiricism to simplify the theory. But that's not good science.
> Neither of these universe are any more real or extant than the other (they have the same magnitude)
What is meant by "magnitude?" It can't be the measure of the wavefunction because those can easily be different, e.g. if the particle's decay probability is not 50%. This is the Born rule problem again.
It’s as if non-determinists aren’t sure that 2 doesn’t act like a 3 sometimes because of decoherence and so 2 + 3 = 6 as a result.
Where am I going wrong in this line of thinking? How could randomness be injected into a system without superpositioning of quarks? Is that literally the only way?
Is Hawking radiation the smoking gun we think it is?
Edit: I admit I am tired when posting but this topic is perhaps one of the most fascinating of all. I can’t stay away.
It's like matrix multiplication: yes you can wind up with more elements after the operation, but the result as a whole is entirely deterministic.
If you defined matrix multiple multiplication where you collapsed the result down to a single unspecified vector, then you would have "randomness" (according to the selection).
Many worlds says "don't choose"; keep the entire matrix, and the results will get larger and larger.
The universe is not fundamentally rolling dice, though it appears that way from your perspective since you can only see a single slice of the matrix.
So the “realm of physics” is now disconnected from empirical reality? Great.
Unfortunately, yes. Empirical reality is limited by the empiricist.
> 1. How does the Born rule arise?
> 2. More generally, how does randomness arise?
As you said, with Many Worlds there is no randomness. The multiverse is entirely deterministic. Randomness is a Copenhagen-like concept.
There is a "universe" with an alive cat and a "universe" with a dead cat. These universes have a certain waveform distribution.
Neither of these universe are any more real or extant than the other (they have the same magnitude).*
* Though consciousness and its observations seems to follow only one path. This is a peculiarity outside the realm of physics.