B How Does Quantum Entanglement Not Violate Causality?

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atyy

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Yes, I know that discussion. The pertinent part there is that Weinberg's informal statement of cluster decomposition is too sloppy (clearly violating quantum mechanics if correlations are included - if correlations are not included, then it is a tautology - there are no correlations when there are no correlations). A better informal definition of cluster decomposition would have been "no faster than light signalling". This applies to all states.
 
9,201
2,112
Yes, I know that discussion. The pertinent part there is that Weinberg's informal statement of cluster decomposition is too sloppy (clearly violating quantum mechanics if correlations are included - if correlations are not included, then it is a tautology - there are no correlations when there are no correlations). A better informal definition of cluster decomposition would have been "no faster than light signalling". This applies to all states.
It is sloppy - but even if its stated clearly it doesn't apply to correlations. It is mentioned it may be possible to formulate it so it can. But that's not the issue. Precluding correlations leads to no issues with locality in QFT which is embodied in the cluster decomposition property.

Thanks
Bill
 

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This thread has gone fairly far off the rails, time to close.
 

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