Could you please explain it in more details? I am confused. If I measure the spin of the electron that is in the superposition of spin up and spin down, I obtain with probability p spin up and with probability 1-p spin down. How to exactly predict using Tegmark multiverse when I see spin up and when I see spin down?
I’m not saying that a Tegmark I multiverse is equivalent to MWI, that’s actually Tegmark III. I’m saying that Tegmark I is sufficient to have indexical uncertainty, which looks like branching timelines, even if MWI is not true. See Nick Bostrom’s Anthropic Bias for more on this topic.
Only if you’re interested. I haven’t actually read the whole book myself, but I have read LessWrong discussions based on it. I think the Sleeping Beauty problem illustrates the important parts we were talking about.
Ah, I think I got the point, thank you. However, it does not resolve all questions.
1. You can’t deduce Born’s rule—only postulate it.
2. Most important, it does not give you a prediction what YOU will observe (unlike hidden parameters—they at least could do it). Yes, you know that some copies will see X, and some will see Y, but it is not an ideal predictor, because you can’t say beforehand what you will see, in which copy you will end up. So all your future observed data can not be predicted, only the probability distribution can be.
Can’t you? Carroll calls it “self-locating uncertainty”, which is a synonym for the “indexical uncertainty” we’ve been talking about. I’ll admit I don’t know enough quantum physics to follow all the math in that paper.
Most important, it does not give you a prediction what YOU will observe (unlike hidden parameters—they at least could do it). Yes, you know that some copies will see X, and some will see Y, but it is not an ideal predictor, because you can’t say beforehand what you will see, in which copy you will end up.
Yeah, in this scenario, the “YOU” doesn’t exist. Before the split, there’s one “you”, after, two. But even after the split happens, you don’t know which branch you’re in until after you see the measurement. Even an ideal reasoner that has computed the whole wavefunction can’t know which branch he’s on without some information indicating which.
So all your future observed data can not be predicted, only the probability distribution can be.
More or less. You can compute all the branches in advance, but don’t necessarily know where you are after you get there. The past timeline is linear, and the future one branches.
″ Can’t you? Carroll calls it “self-locating uncertainty”, which is a synonym for the “indexical uncertainty” we’ve been talking about. I’ll admit I don’t know enough quantum physics to follow all the math in that paper. ”
That was super cool, thank you a lot for this link!
I’m not saying that a Tegmark I multiverse is equivalent to MWI, that’s actually Tegmark III. I’m saying that Tegmark I is sufficient to have indexical uncertainty, which looks like branching timelines, even if MWI is not true. See Nick Bostrom’s Anthropic Bias for more on this topic.
Mmmm is explanation really that long that I need to read a whole book? Can you maybe summarize it somehow?
Only if you’re interested. I haven’t actually read the whole book myself, but I have read LessWrong discussions based on it. I think the Sleeping Beauty problem illustrates the important parts we were talking about.
Ah, I think I got the point, thank you. However, it does not resolve all questions.
1. You can’t deduce Born’s rule—only postulate it.
2. Most important, it does not give you a prediction what YOU will observe (unlike hidden parameters—they at least could do it). Yes, you know that some copies will see X, and some will see Y, but it is not an ideal predictor, because you can’t say beforehand what you will see, in which copy you will end up. So all your future observed data can not be predicted, only the probability distribution can be.
Can’t you? Carroll calls it “self-locating uncertainty”, which is a synonym for the “indexical uncertainty” we’ve been talking about. I’ll admit I don’t know enough quantum physics to follow all the math in that paper.
Yeah, in this scenario, the “YOU” doesn’t exist. Before the split, there’s one “you”, after, two. But even after the split happens, you don’t know which branch you’re in until after you see the measurement. Even an ideal reasoner that has computed the whole wavefunction can’t know which branch he’s on without some information indicating which.
More or less. You can compute all the branches in advance, but don’t necessarily know where you are after you get there. The past timeline is linear, and the future one branches.
″ Can’t you? Carroll calls it “self-locating uncertainty”, which is a synonym for the “indexical uncertainty” we’ve been talking about. I’ll admit I don’t know enough quantum physics to follow all the math in that paper. ”
That was super cool, thank you a lot for this link!