On Sat, Feb 22, 2020 at 2:42 PM 'Brent Meeker' via Everything List <
[email protected]> wrote:

> On 2/21/2020 5:50 PM, Bruce Kellett wrote:
>
> I know that they argue in this way. But that is just say "It must be this
> way or else my theory fails."
>
> My argument against this is quite secure. Linear evolution via the SWE and
> Everett means that there is only one "relative state" or branch for each
> term in the original superposition. There is no room for a "weight" in such
> linear evolution. Looking at repeated trials simply highlights this fact --
> the sequence of bit strings is necessarily independent of the original
> amplitudes -- there are no "weights", and MWI advocates are simply fooling
> themselves.
>
>
> I don't think it's so cut and dried as that.  In Zurek's envariance based
> idea of measurement he says the relative amplitude of the system must
> carryover to the apparatus in order to maintain unitary evolution; c.f.
> III.E of the attached.  It essentially appeals to the ensemble of possible
> pure states consistent with the system+apparatus reduced density matrix in
> order to avoid your objection.
>

I am not sure that I completely understand what Zurek has done here. The
problem of carrying the initial amplitdues through a sequence of repeated
trials is opaque to me. Zurek seems to rely on the number of envariant
environmental states somehow. I will have to look into this further: it all
needs a little untangling. I can't quite see how the weights carry through
repeated measurements -- the state is surely a new state in each branched
world.

Bruce

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