On Sun, Jul 4, 2021, 8:50 PM 'Brent Meeker' via Everything List <
[email protected]> wrote:

>
> On 7/4/2021 5:30 PM, Tomas Pales wrote:
>
>
> On Monday, July 5, 2021 at 12:54:45 AM UTC+2 Brent wrote:
>
>> It's not that it's necessarily 50/50; it's that there's no mechanism for
>> it being the values in the Schroedinger equation. In one world A happens.
>> In the other world B happens.  How does, for example, a 16:9 ratio get
>> implemented.
>>
> For example, A happens in 16 worlds and B in 9 worlds. Or in general, the
> proportion of worlds where A happens to worlds where B happens is 16/9.
>
> But it's an additional axiom that this is a probability measure and the
> split is per the Schroedinger amplitudes.  Which then makes it just like
> Copenhagen.  Note that that the odds ratio 16:9 depends on the interaction
> with measuring instruments (some other measurement would yield different
> odds) and so it depends on at what point you stop considering
> superpositions and say "That's classical enough.  Let's just zero out the
> cross terms in the density matrix."  Something Heisenberg or Born could
> have done and essentially what Bohr said.  He realized that any measurement
> that people could agree on would have to be classical.  So he held that the
> Heisenberg cut could be anywhere close enough to consciousness to be
> quasi-classical.
>
> Brent
>
>
Could it be because the mind is identified with a classical computation
while the brain is ultimately a quantum mechanical system?

Jason


>   There's nothing in Schroedinger's equation that assigns one of those
>> numbers to one world or the other.  You can just make it an axiom.  Or
>> equivalently, if you can show these are odds ratios, you can invoke
>> Gleason's theorem as the only consistent probability measure.  But all that
>> is extra stuff that MWI claims to avoid by just being pure Schroedinger
>> equation evolution.
>>
> In MWI the odds of being in a particular world depend on the counting of
> branches, similarly like the odds of selecting a particular ball from a
> basket depend on the counting of balls. But if there are infinitely many
> branches in MWI, different ways of counting give different probabilities,
> which means there are different possible probability measures, and so MWI
> needs an additional axiom that specifies the measure and thus the way of
> counting the branches. You say that the only possible (consistent) measure
> is the Born rule; in that case no additional axiom about the measure is
> needed (beyond the axiom of consistency, which goes without saying) and the
> branches must be counted in such a way that the probabilities result in the
> Born rule.
>
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