I agree.
I do not think it is a 'mechanism'. I think it is a 'soul' and that the 'soul' has a character which is out of the scope of any of the known "physics" of today. I would like to believe that there is a subject matter which, in a very deep way, is somehow like 'physics' and is also...
Each of the instruments (in and of itself) can, for the sake of making the argument, be regarded as a classical object altogether.
(This is because the argument does not involve, in any way, any of their subsystems).
But the scope of the argument remains in the broader sense.
Bob's fixing of setting is spacelike separated from Alice's registration of outcome, and vice versa.
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But Bob's (free) choice of setting is spacelike separated from the registration of Alice's outcome, so just what kind of 'interaction' could possibly establish such a dependency?
Can you explain that more clearly? I don't understand.
I don't quite get what you are asking. So, I will make some remarks.
Here is improved wording for the first condition in the argument:
1) The joint-system composed of the measuring instruments of Alice and Bob is a separable system...
Interaction will have nothing to do with it. Separability just means
a specification of a joint-state to the joint-system
is equivalent to
a specification of a state to each of the subsystems.
Agreed.
Let us see just how sharply those concepts can be defined, and then look back to see what will stand, what will fall, and what (if anything) will remain fuzzy.
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Begin with the notion of 'separability'.
Let X and Y be two systems with associated state spaces SX and SY.
Now...
Condition 2 is not the same as "locality + CFD". From the latter, one can derive a Bell Inequality. Condition 2 alone is insufficient.
It is the conditions 1 and 2 together that are sufficient to establish a derivation of a Bell Inequality.
But there is an important difference between the...
Let it be so.
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By hypothesis (in the thought experiment about "Alice and Bob"), the following is true:
If Bob's setting would have been b' instead of b,
then
each of Alice and Bob would have obtained a definite outcome.
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Consider the following two conditions:
1) The...
But that thread was not about an exploration of the relationship between the notions of "state separability" and "CFD".
It was about a particular perspective from which a Bell Inequality can be derived.
The two topics are very distinct (but, of course, related).
... Are you sure you'd rather...
Okay, now I see what my problem is.
The required conjunction is this:
The joint-state of the measuring instruments of Alice and Bob is separable throughout the whole of spacetime;
AND
Alice's outcome has an no dependency upon Bob's setting, and vice versa.
These two conditions, when taken...
Consider an interpretation for which
the above four conditions hold true
but
the "principle of CFD" is invalid.
Then
according to that interpretation one must say
Alice's outcome has an intrinsically 'nonseparable' dependency upon Bob's setting, and vice versa.
... Does anyone have...
I will improve upon the expression of my query, and answer it ... then add a little more.
Consider the four conditions below:
1) Alice and Bob have free choice of their instruments' settings.
2) All influences which propagate within spacetime are limited by c.
3) There are no retro-causal...