On Tue, Apr 19, 2016 at 8:54 PM, Bruce Kellett <[email protected]>
wrote:
>
> So, the fact that these simulated results were supposed to have come from
> an entangled singlet pair has not been used anywhere in your simulation. It
> has only ever been used to link the copies of Alice and Bob, the statistics
> that they observe come entirely from what you happen to put in you
> accumulator for each setting of the relative orientations.
>

Saying the idea of a singlet pair "has not been used anywhere in your
simulation" and then saying it has "been used to link the copies of Alice
and Bob" seems like a contradiction--isn't the linking itself part of the
simulation? After all, getting a message from Bob is part of the simulated
world that Alice experiences, just as much as her own measurement. What we
have here is just a single distributed simulation being run on multiple
computers computing different parts of it in parallel, and communicating
data in order to determine interactions between those parts. Any local
physics model can be simulated in such a way, including ones that don't
involve "copies" existing in parallel in a given region--for example, space
can be divided into a cubic grid and each computer can compute the internal
dynamics in each cube, and computers that simulate cubes that share a face
in common can share there data so that particles or waves leaving one cube
through a given face will appear in the neighboring cube from the same
face. This would still be one big simulation, just computed in a
distributed way. And the fact that you *can* distribute the computation of
the whole universe into a bunch of local sub-simulations that communicate
only with their neighbors is true if and only if the laws of physics
governing your universe are "local" ones.



>
> I agree that you can generate the required statistics locally in this way.
> In fact, I can do it even more simply by taking a number of urns and
> labelling each with a particular relative orientation, say parallel,
> antiparallel, 90 degrees, and so on. In the "parallel" urn I place a number
> of tokens labeled (A+B-) and an equal number labelled (A-B+). In the
> "antiparallel" urn, I place a number of tokens labelled (A+B+), and an
> equal number labelled (A-B-). In the "90 degree" urn I place a number of
> tokens labelled (A+B+), an equal number labelled (A+B-), an equal number
> labelled (A-B+), and finally an equal number labelled (A-B-).
>

I don't see how your method would be a *local* simulation though. In order
for it to be local, you'd need to set things up so Alice first picks her
result from one of three urns at her location, and Bob first picks his
result from one of three urns at his location, and they can see the result
of their own pick before either one knows which urn the other one picked
from.


> But that is precisely what you toy model does. It has absolutely no
> connection with EPR or real experiments. One could generate any arbitrary
> set of statistics to satisfy any theory whatsoever by this method. You have
> demonstrated absolutely nothing about the locality or otherwise of EPR.
>


Would you agree that in my toy model the results at each location can be
generated in realtime (each experimenter finds out their own result before
finding out the other one's result, and before they have any way of knowing
what detector setting the other one used), and in a local way (the rule
that generates a result that appears at a particular position and time
doesn't depend on anything outside the past light cone of that event), and
that the subjective probabilities for each experimenter match those of the
EPR experiment? If you agree but think your urn model is doing the same,
please explain it in more detail because as I said, your short description
above doesn't seem to me to have these characteristics.

Jesse

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