On Sat, Nov 16, 2024 at 03:08:03PM +1100, Bruce Kellett wrote:
> On Sat, Nov 16, 2024 at 2:41 PM Russell Standish <[email protected]> 
> wrote:
> 
>     I don't think it requires this assumption. In fact "physically real"
>     is a rather nebulous concept anyway.
> 
> 
> If you want the 'other worlds' to be physically real, then the original wave
> function must be physically real.

That's a non-sequitur. The 'other worlds' are as real as this one. The
reality of the wave function doesn't enter into it.

> 
> 
>     > and it also has to
>     > make some assumptions about probability that are equivalent to just
>     assuming
>     > the Born Rule. So the idea that it does not make any further assumptions
>     beyond
>     > the Schrodinger equation is something of a pipe dream.
>     >
> 
>     You need to assume something like the Kolmogorov axioms of
>     probability anyway, but these are by and large definitional.
> 
>     For the rest, the Gleason theorem really does the heavy lifting.
> 
> 
> But one somehow has to relate the amplitudes of the wave function basis 
> vectors
> to the probabilities. And since the Schrodinger equation is deterministic,
> introducing a probability interpretation is problematic.
>

I never followed that line of argument. I know you've raised this
multiple times over the years, but it made little sense to me.

For example - in classical statistical physics, the connection between
entropy and the classical microstate is statistical in nature. The
assumed deterministic nature of classical microphysics does not
prevent a probabilistic interpretation of the macrophysics. On your
line of argument, you'd need to reject Boltzmann's H-theorem.

Cheers
-- 

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Dr Russell Standish                    Phone 0425 253119 (mobile)
Principal, High Performance Coders     [email protected]
                      http://www.hpcoders.com.au
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