> On 21 Jun 2019, at 08:49, Bruce Kellett <[email protected]> wrote:
> 
> On Fri, Jun 21, 2019 at 4:26 PM 'Brent Meeker' via Everything List 
> <[email protected] <mailto:[email protected]>> 
> wrote:
> On 6/20/2019 11:11 PM, Bruce Kellett wrote:
>>> After all, repetitions of the relevant interactions are happening all the 
>>> time: and not just in our controlled experiments. How can there be such 
>>> things as objective probabilities in the MWI scenario? How can we use 
>>> experimental evidence to support theories when we do not know whether our 
>>> observer probabilities are representative or not?
>> 
>> The same as in any probabilistic theory.  We repeat it so many times that we 
>> have statistics that we can compare to the theoretical distribution.  The 
>> same way you would test your theory that a coin was fair.
>> 
>> In other words, MWI is experimentally disconfirmed.
> How so?  In repeated experiments I'm aware of (and a lot of photons go thru 
> Aspect's EPR experiments) the statistics are consistent with the theory.  To 
> disconfirm MWI you'd have to observe statistics far from the expected value, 
> which is why Tegmark proposed his machine gun suicide experiment.
> 
> If you observe statistics far from those expected under the Born Rule you 
> just assume that your calculation of the wave function is in error! 
> 
> If MWI is true, then you would expect that in at least some cases, the Born 
> Rule would be disconfirmed. There necessarily exists branches of the wave 
> function in which this is the case. How can you be sure that were are not on 
> such a branch?
> 
> On some branches, you can send a large number of photons to your half 
> silvered mirror, and observe that the results conform to binomial statistics 
> with p = 0.5. But then next long sequence of photons will all go just one 
> way, casting doubt on your earlier statistics. Since such branches 
> necessarily exist under MWI, how can one ever have confidence in the results 
> of any quantum experiment?
> 
> In other words, in order to do experiments in quantum optics, one has to 
> assume that MWI is false.

I don’t see this at all. In the iterated duplication experience, it is true 
that there is a guy who saw only Moscow, but there are few chance it belongs to 
the random sample that we use when verifying statistics, and if he does, well, 
he will feel alone, and not convince its peers. That works for both Everett, 
digital mechanism, but also any applied probability experience. We can always 
expect deviation. The point is that we should not count on it. That is why, 
even if Everett is true, you will take the lift and not jump out of the window.

That is why in the iterated self-duplication version, I ask question like “what 
is the better bet, white noise of a the binary expansion of PI?”. Then the 
verification is made on some sample, and most will confirms “white noise”, and 
virtually none will confirm “binary expansion of PI”.

Bruce, your answer “I don’t know the probabilities” is strictly speaking 
correct … for all application of probability. It trivialise applied probability 
theory, it seems to me.

In the n-iteration with n low, all the copies can discuss together and see that 
the binomial distribution is exactly verified. The number of copies having seen 
W or M are exactly given by the triangle of Pascal. That remains trivially true 
for large n, even if not explicitly testable, so your “I don’t know the 
probabilities” becomes a reason to use the binomial distribution. 

Of we cannot know this for sure, if only because we cannot trust the protocol, 
and maybe we were each time multiplied in 3, with a copy secretly build in 
Vienna, perhaps. This shows that even the “verification” proves nothing, but 
that is why in the theory we insist on the fact that the protocol is verified, 
that mechanism is assumed etc, and derive theoretical probabilities, and test 
them accordingly.

Of course, the interesting scenario is given by the universal dovetailer, where 
we are “multiplied” by infinity, and do the math to see if the probabilities 
obeys to what we observe in nature or not.

Bruno


> 
> Bruce
> 
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