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VAuroch comments on Open thread, July 21-27, 2014 - Less Wrong Discussion
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If the Born probabilities were ultimately based on the relative Kolmogorov complexities of the possible outcomes, what would that look like? Would we see it break down from the pure randomness we normally see at the macro scale?
This occurred to me, and while it's outlandish and unlikely I'd like to figure out why it's wrong, rather than just dismiss it.
The first thing that popped into my mind: equal complexity branches would have equal probability. We know that's totally not how it works: take quantum bits, for example. You can have arbitrary superpositions of both states, and it's very hard to argue that one suddenly acquires a higher complexity than the other.
I haven't fully thought this through, but there is probably some way to include the state transition itself in a way that makes that work. I don't think I know enough physics to figure out whether the concept's generally salvageable.