Is the Joint-State of Alice and Bob's Instruments Separable in Spacetime?

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Discussion Overview

The discussion revolves around the separability of the joint-state of measuring instruments used by Alice and Bob in a thought experiment, particularly in the context of counterfactual definiteness (CFD) and its implications for quantum mechanics. Participants explore theoretical conditions under which these concepts might hold true, as well as the potential nonlocality and dependencies between outcomes.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that if Alice and Bob's instruments are viewed as classical objects in spacetime, then the joint-state is separable throughout spacetime, and CFD applies to their outcomes.
  • Others argue that even if the joint-state is separable, the outcomes may still be nonseparably linked to the settings of the instruments, suggesting a more complex relationship.
  • A later reply questions the justification of the "free choice" condition in the context of Bohmian mechanics (BM), suggesting that choices may be predetermined.
  • Some participants explore interpretations where the four proposed conditions hold, but CFD is invalid, leading to a dependency of outcomes on each other's settings.
  • There is a discussion about deriving Bell Inequalities based on the conjunction of separability and independence of outcomes.
  • Mathematical reasoning is presented regarding the independence of outcomes in relation to varying settings, with some participants challenging the coherence of these arguments.

Areas of Agreement / Disagreement

Participants express differing views on the implications of separability and CFD, with no consensus reached on whether the proposed conditions are sufficient or valid in the context of quantum mechanics. The discussion remains unresolved regarding the relationship between these concepts.

Contextual Notes

Limitations include the dependence on interpretations of quantum mechanics and the assumptions underlying the proposed conditions, particularly concerning free choice and the nature of measurement outcomes.

  • #31
ueit said:
OK, let the two subsystems be an electron (X) and a proton (Y). How would you make them space like separated? As far as I can tell space like separation refers to events, not to physical systems that are more or less eternal.
Bob's fixing of setting is spacelike separated from Alice's registration of outcome, and vice versa.
_____
ueit said:
As you said, in any classical theory condition 1 holds true. On the other hand if the subsystems X and Y interact with each other (and virtually all matter interacts electromagnetically and gravitationaly) condition 2 seems false.
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?
 
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  • #32
Eye_in_the_Sky said:
1) The joint-system composed of the measuring instruments of Alice and Bob is a separable system.

(Thus, the relationship that the two instruments share in spacetime is a relationship of classical objects.)
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.
 
  • #33
Eye_in_the_Sky said:
Bob's fixing of setting is spacelike separated from Alice's registration of outcome, and vice versa.
_____

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?

In your post #5 you said:

I should not have included "free choice" in the ASIDE.

Let the ASIDE be restricted to conditions 2,3,4 only.

I understand that you have changed your mind. In this case, what is your take on my observation:

"As far as I can tell your condition 1 (free choice) has no justification in any theory, classical or quantum."

I am especially interested in what mechanism do you think is responsable for the property of free choice so that we can asses if it is compatible with the classical theory that you intend to test.

Andrei

Andrei
 
  • #34
ueit said:
what is your take on my observation:

"As far as I can tell your condition 1 (free choice) has no justification in any theory, classical or quantum."
I agree.
I am especially interested in what mechanism do you think is responsable for the property of free choice so that we can asses if it is compatible with the classical theory that you intend to test.
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 somehow about the 'soul', but I have no idea what that could be.
 
  • #35
Eye_in_the_Sky said:
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 somehow about the 'soul', but I have no idea what that could be.

What you are saying is that the existence of free-choice represents a falsification of all current physical theories. Are you aware of any experiment backing that up?
 

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