On Mon, Aug 10, 2015  Pierz <[email protected]> wrote:

> ​> ​
> Consider a set-up in which a photon is polarized in the z direction, so
> that we know that the particle will, with probability 1, pass through
> another polarizer also oriented in the z direction. However what of the
> situation where the second polarizer is oriented at 45 degrees to the first
> one? In that case, the probability is 0.5 that the photon will pass
> through. If it does, then obviously the probability is 1 that it will also
> pass through a third polarizer also oriented at the same angle.
>
> ​There is an interesting variant ​to that experiment that's easy to
perform. Set one polarizer at Z degrees and a second one at Z + 90 degrees
and there is a 0% chance that a photon will make it past both, but place a
third polarizer between them set at an intermediate angle of Z+45 degrees
and there is a 25% chance a photon will make it through all three
polarizers. Try it at home, it's really quite counterintuitive, adding a
third sheet of dark plastic actually makes things get brighter.

> ​> ​
> So what is going on in the multiverse in this scenario?
>
> ​When a photon hits a polarizer sometimes the universe splits and
sometimes it does not, it depends on the angle of the polarizer and perhaps
on something else too. We know from experiment ​that Bell's inequality is
violated so we know for sure that in the Many Worlds Interpretation, just
like every other quantum interpretation, at least one of the following must
be wrong:

1) Realism (things exist in a definite state even if they are not measured)
2) Determinism
3) Locality

The Many Worlds Interpretation is realistic so if it's true then nothing
determines if the universe splits or not (it's random) and all we can do is
assign probabilities based on the angle of the polarizer  (cos(Z)^2) . Or
it is deterministic after all, something did indeed cause it to split but
the cause can not be local, your decision on what angle to place the second
polarizer somehow went back in time and changed the photon before it even
reached the first polarizer because the future can effect the past. One
thing is certain, whatever turns out to be true it's weird.

> ​> ​
> What is going on at the point of the photon's interaction with the
> polarizer in an MWI account?
>
> ​The universe may or may not split depending on angle Z of the polarizer
+ X.  X could be a random factor​, and that's OK, there is no law of logic
that says every effect must have a cause. Or X could be a non-local cause.
But one thing X can not be is a local cause, we know that from experiment.

And it's true, you can't determine probabilities by counting branches.

  John K Clark

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