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Viliam_Bur comments on Are coin flips quantum random to my conscious brain-parts? - Less Wrong Discussion
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I don't know if it is the same question, but I would like to know how fast can quantum effects propagate to macroscopic outcomes, especially through the human brain.
Let's say than in a moment T0 I choose one Everett branch that includes me, and I am interested only in its future branches. In the following moments, in some branches some atoms of my brain move randomly. How long is it (seconds? minutes?) until I start doing different things (observable by another human, e.g. speaking different words) in different branches?
I know the question needs some numbers, so please use some reasonable values. For example my task is to say randomly either "one" or "two", in some usual condition. What is the shortest time interval such that if we choose Everett branches starting from one point, at the end of the interval I say "one" in at least 20% of branches, and "two" also in at least 20% of branches?
Analogically for the article: If I choose one Everett branch in a moment when I give my muscles a command to flip the coin, what distribution of outcomes should I expect at the end? Assume average person in average conditions. Is it 50:50? Or 99:1?
This doesn't answer your question, but I expect that if you're asked to randomly say "one" or "two", there are different mental algorithms you can use which all feel random, some of which give an outcome that depend deterministically on the computational state of your brain at the start of the algorithm, and some of which do not.