On Mon, Feb 24, 2020 at 12:00 AM Bruno Marchal <[email protected]> wrote:

> On 22 Feb 2020, at 05:37, Bruce Kellett <[email protected]> wrote:
>
>
> 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.
>
>
> It seems to me that this is a direct consequence of the linearity of the
> tensor product.
>
> I interpret for example the 1/sqrt(2) in a superposition as describing an
> infinity of accessible histories, where I can access some particle state
> (and eigenvalue) with a probability one half. If I make a measurement, that
> “1/sqrt(2)” is inherited by the state describing me + that particle.
>
> I me> (1/sqrt(2) a + 1/sqrt(2) b) = 1/sqrt(2) Ime>Ia> + 1/sqrt(2) Ime>Ib>.
> The weigth of a has passed on me, by linearity/unitarity.
>

Sure, you can write 1/sqrt(2) in front of each term. But the relative state
in each case is the |me>, and that does not depend on the leading
coefficient. When you, in a single trial, see |up> (i.e., the state is |me,
who sees up>), how does that depend on the 1/sqrt(2)? From the first person
perspective, remember -- do not mix in your 3p opinions.

Bruce

>
> Bruno
>
>
>
>
>
>
> 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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