On Sat, Nov 16, 2024 at 01:58:08PM +1100, Bruce Kellett wrote:
> On Sat, Nov 16, 2024 at 1:38 PM Russell Standish <[email protected]> 
> wrote:
> 
>     On Fri, Nov 15, 2024 at 12:02:14AM -0800, Alan Grayson wrote:
>     > As I see it, JC's core claim about the MWI is that it follows from S's
>     > equation
> 
>     It comes about by not making any further assumptions, like the
>     wavefunction collapse of CI, or pilot waves of Bohmian mechanics which
>     privilege one branch over the others.
> 
> 
> But MWI does assume that the wavefunction is a real physical object, even
> though it exists only in 3N-dimensional configuration space;

I don't think it requires this assumption. In fact "physically real"
is a rather nebulous concept anyway.

> 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.

My disatisfaction with the state of the art stems from wanting to
derive Schroedinger's equation from something more basic. SE already
assumes a complex Hilbert space, from which the rest follows. We do
know that the SE is essentially a statement of energy conservation, in
the context of a complex Hilbert space.

-- 

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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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