On 3/4/2020 6:18 PM, Bruce Kellett wrote:
But one cannot just assume the Born rule in this case -- one has to use the data to verify the probabilistic predictions. And the observers on the majority of branches will get data that disconfirms the Born rule. (For any value of the probability, the proportion of observes who get data consistent with this value decreases as N becomes large.)
No, that's where I was disagreeing with you. If "consistent with" is defined as being within some given fraction, the proportion increases as N becomes large. If the probability of the an even is p and q=1-p then the proportion of events in N trials within one std-deviation of p approaches 1/e and N->oo and the width of the one std-deviation range goes down at 1/sqrt(N). So the distribution of values over the ensemble of observers becomes concentrated near the expected value, i.e. is consistent with that value.
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