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Manfred comments on Open thread, 24-30 March 2014 - Less Wrong
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Basically, there are a variety of collapse interpretations depending on where you make the collapse happen. Every time we've tested these hypotheses (e.g. by this sort of experiment), we haven't been able to see an early collapse.
At this point, all actual physicists I know just postpone the collapse whenever necessary to get the right answer.
Hm, so that means that quantum physics predicts that our observations depend on the presence of parallel worlds in the universal wavefunction, which in theory might interfere with our experiments at any time, right?
Calling them parallel worlds is as always dangerous (you can't go all buckaroo bonzai on them), but basically yes.