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Re:Quantum observers with knowledge of quantum mechanics bre... by monktastic1 on Wednesday September 19, 2018 @07:11PM (#18028395)
Your second state is only pure if no information has leaked into the environment. The chance of a human-sized object measuring a state without any stray photons or air molecules interacting is basically zero.

As for why 50%, why not the Born rule? Or are you asking how we derive the Born rule?

Re:Quantum observers with knowledge of quantum mechanics bre... by amluto on Wednesday September 19, 2018 @08:11PM (#18028678)
> Your second state is only pure if no information has leaked into the environment.

Not true in a many-worlds model. The “I measured” part is intended to account for the environment, at least initially.

> Or are you asking how we derive the Born rule?

More or less. In a many-worlds interpretation, there is no Born rule per se. I’m saying it’s not entirely trivial to recover the statistics that the Born rule would give.