On 3/22/2022 8:34 PM, Jesse Mazer wrote:
If you are looking to build a toy model showing how Bell inequality
violations can be explained locally in a scenario where each
measurement results in multiple local copies of the experimenter,
there is no good reason to impose the restriction that a given
measurement which can yield one of two possible results (spin-up or
spin-down) only results in two local copies, as opposed to say 4
copies of Bob that saw spin-up on that measurement, and 4 copies of
Bob that saw spin-down, and likewise 4 copies of Alice that saw
spin-down and 4 copies of Alice that saw spin-up.
Suppose for example we are dealing with a Bell type experiment where
if Alice and Bob both choose the same polarizer angle, they are
guaranteed to see the same result, but if they choose different
polarizer angles, they see the same result only 1/4 of the time,
according to QM predictions (these probabilities would violate one of
Bell's inequalities and thus be impossible to explain with
one-universe local realism without superdeterminism). Then if both are
split 8 ways as above, when they get together locally to compare
results, if it turns out that they both chose the same detector angle,
the universe can match the 4 spin-up Bob copies with the 4 spin-up
Alice copies and likewise match the 4 spin-down Bobs to the 4
spin-down Alices. But if they chose different angles, when they get
together locally the universe can match up 3 of the spin-up Bobs with
3 spin-down Alices, and 1 spin-up Bob with 1 spin-up Alice, while also
matching the 3 spin-down Bobs with 3 spin-up Alices, and 1 spin-down
Bob with 1 spin-down Alice. This will give a nice frequentist
explanation of the QM prediction that there is only a 1 in 4 chance of
them getting the same result when they choose different angles.
No matter what the angles are the splits are 50/50 if the interactions
are local because the photons are circularly polarized, so a linear
filter passes half independent of the angle.
Brent
This kind of local splitting with subsequent matching of copies when
they get together to compare results will still work even if they
perform a long sequence of measurements before getting together to
compare results, I gave you a description of how the
splitting-and-matching rule would work in this case in the last few
paragraphs of my message at
https://www.mail-archive.com/everything-list@googlegroups.com/msg91022.html
Jesse
On Tue, Mar 22, 2022 at 10:55 PM Bruce Kellett <bhkellet...@gmail.com>
wrote:
On Wed, Mar 23, 2022 at 1:35 PM Brent Meeker
<meekerbr...@gmail.com> wrote:
On 3/22/2022 6:11 PM, Bruce Kellett wrote:
On Wed, Mar 23, 2022 at 10:26 AM smitra <smi...@zonnet.nl> wrote:
Let's consider this whole non-locality issue right from
the start.
Probably a good idea. The discussion has become rather
confused. We should sort out exactly where we agree and where
we disagree.
In my explication, I just assumed Alice and Bob are
light-hours apart so they can set the polarizers and run the
whole experiment, including recording the N results while
still spacelike.
Actually, that is where I started. I assumed that Alice and Bob
were both able to collect results from N trials before they met.
Then there are 2^N copies of each experimenter, and a potential
(2^N)^(2^N) pairs when they meet. The trouble to be explained is
that there are actually only 2^N pairs in a real experiment, each
with inequality-violating correlations. What has happened to all
the extra pairings that MWI must produce? (Most of which have
correlations violating the quantum predictions.)
Bruce
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