On 11/15/2024 8:28 PM, Russell Standish wrote:
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.
I'm not sure what you mean by "reject", but derivation of the H-theorem
by Boltzmann depended on the assumption that collision parameters are
uncorrelated, which made the derivation effectively circular. A common
problem in derivations of the Born rule.
Brent
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