[ExI] Demonstration of Bell's Inequality
John Clark
johnkclark at gmail.com
Wed Nov 23 18:54:48 UTC 2016
On Wed, Nov 23, 2016 at 12:13 PM, Adrian Tymes <atymes at gmail.com> wrote:
>
> Oh, this part. Okay, try this:
> Have two identical sacks, one with a red ball and one with a blue ball
> (or any two other objects, indistinguishable without opening the sacks
> but easy to tell apart once the sacks are open). Keep one sack at
> random - perhaps have a random number generator that takes atomic
> decay as a seed - but send the other an arbitrary distance away, even
> billions of light years.
>
> Then, open the sack you have. You immediately know what's in the other
> sack.
> Now, the "locality" of the information is somewhat arbitrary. You are
> obviously not changing anything at that far-distant location when you
> open the sack. Does opening your sack cause an event that ripples out
> at the speed of light, such that whatever is in the other sack will
> retroactively have become the other object by the time you could
arrive to see it?
>
That's the wrong analogy, a better one would need 3 complementary properties
not just 1
, so in addition to red/blue lets have heavy/light and
radioactive/nonradioactive.
With 3 complementary attributes you'd have 8 different types of balls
:
1) Red heavy radioactive
2) Red light radioactive
3) Red heavy non-radioactive
4) Red light non-radioactive
5) Blue heavy radioactive
6) Blue light radioactive
7) Blue heavy non-radioactive
8) Blue light non-radioactive
In secret and at random 2
balls
are chosen and
put in a
box and
mailed in opposite directions a long way apart. You get one
and can X ray your package to learn if it is red or blue
,
or you can weigh
it to learn if it
is heavy
,
or light
or you can use a geiger counter on it to learn if is radioactive or
nonradioactive. But you can only use one test.
So if you X ray your package and find that it is red you'd expect that on
average there would be 2 chances in 8 (1 in 4) that the other package
contains a heavy ball; it could be blue heavy and radioactive or
blue heavy and non-radioactive. However when this Quantum Mechanical
experiment is actually performed it is found that
when it is weighed
on average the probability
the other package
is heavy is not 1 chance in 4 but is in fact 1 chance in 3.
Bell's inequality says if things
work according to common sense then it must be 1/4 or smaller, but it
isn't, it's 1/3. The experiment produces a correlation between the
attributes that is greater than
classical physics
expected but it is exactly what quantum mechanics predicts.
Thus either things are non local and somehow
X
raying your package changes the attributes of the other package, or things
are not realistic and so despite the name neither package can be
prepackaged, that is to say neither package has any attributes at all until
you X ray it or weigh it or check it with a Geiger-counter.
John K Clark
>
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