vanhees71 said:
By construction relativistic quantum-field theory works with local interactions and is causal. Entanglement can mean that there are long-ranged correlations between parts of a quantum system, but that doesn't violate relativistic causality, which is also implemented by construction in relativistic QFT ("microcausality").
I would like to ask what you think about one simple model. Let me describe it.
We have two variables x and y where x can have values {1,2,3,4} but y can have {5,6,7,8}
We combine x and y into a pair. Now x|y pair can have values from set {1|5, 1|6, 1|7, 1|8, 2|5, 2|6, 2|7, 2|8, 3|5, 3|6, 3|7, 3|8, 4|5, 4|6, 4|7, 4|8} but from that set we take out values {1|5, 2|6, 3|7, 4|8} so that now x|y pair can have values from set F={1|6, 1|7, 1|8, 2|5, 2|7, 2|8, 3|5, 3|6, 3|8, 4|5, 4|6, 4|7}
For x we define an operation "+1" that makes x take the next value from the set {1,2,3,4} or the first value if it has last value in the set (like that 1->2 or 2->3 or 3->4 or 4->1). But we add a condition that operation "+1" can't take the pair x|y out of the set F.
Now we create pair of x|y with unknown values and send x and y to two separate remote locations. At one remote location we perform "+1" operation on unknown x 0 to 3 times. Then we look at the value of x. Depending on the value of x we find out that y at remote location can't have a certain value.
I would say that such a model can be implemented only if operation "+1" on x is allowed to change value of y remotelly i.e. it's implementation has to be non-local.
Do you agree?