haushofer said:
Yes, this is also one of the thing I noticed and to me is not completely clear. But as I understand it, Norsen consciously (!) doesn't distinguish between locality as "no signalling faster than c can occur" and "no (perfect) correlations can exist between spacelike separated events". The success of QFT is, if I understand him and Bell's later papers correctly, despite its failure to incorporate this notion of locality.
That's nonsense. Standard relativistic QFT realized Einstein locality by the microcausality constraint.
It is no contradiction to causality that perfect correlations exist between space-like separated "measurement events", because the correlations described by entanglement are inherent to the states, i.e., if you create an entangled photon pair by, e.g., parametric downconversion, and there's no severe interaction with something on their path to detectors, which can be arbitrarily far away from the source as well as from each other, the 100% correlations due to entanglement can be (and in fact are) observed. There's nowhere a contradiction to Einstein causality in the description of the creation and measurement processes on these photons when relativistic QFT (in this case QED) is used by construction.
haushofer said:
It could well be that Bell himself changed his view about the meaning of "locality" in the almost three decades after he wrote his famour paper. Apparently Bell even considered going back to ethereal theories in an interview in the book "The ghost in the atom". As Norsen states on page 235,
How I understand his point of view is something like "Look, of course QFT is really succesfull and it incorporates a notion of nonlocality which doesn't violate special relativity explicitly, but that's just because the underlying interpretation of the quantum mechanics refuses to say how those outcomes are realized in the first place. How does the measurement of particle 1 in the EPR experiment causes the outcome of the other? If entanglement is causation rather than mere correlation, why should we then adhere to locality (microcausality, as you call it) in the first place?"
The outcomes are realized by the interaction between the measured system and the measurement device. The outcome is inherently random, i.e., there's no cause for the specific outcome of a single measurement (which is of course also an interpretation, but I think it's the only interpretation that is consistent with both the formalism of Q(F)T and all observations we have made so far). The measurement of particle 1 does not cause anything for the outcome of measurements on particle 2 (for sure, if these measurements are space-like separated). The 100% correlation when, e.g., measuring the polarization state of the photon in the same direction, is described by the two photon being prepared in an entangled state. Although the single outcomes are completely random (the single photons are simply ideally unpolarized) the 100% correlations are there due to the entanglement.
haushofer said:
So mathematically it's all good, as it should of course, but I have a feeling that Norsen (and Bell) are not satisfied by this explanation to distinguish between these different notions of locality. They see the Bell results as a hint of nature to take nonlocality more seriously, which explains why Bell adhered to the pilot wave theory which explicitly violates nonlocality.
But pilot-wave theory works for non-relativistic QT, which of course is in no sense of the word local. Even classical Newtonian mechanics is non-local. To the contrary, interactions are described by actions at a distance.
haushofer said:
I guess this is not the topic to discuss these issues, but this is what I make of Norsen's point of view now, and if that's the case, he could have make this distinction more clearly. And to add: I'm also not sure what to make of it myself :P
Also I think the way Norsen expresses it in a textbook is not a good scientific style. If you claim that the standard point of view is wrong, in pretty offending language btw, then at least you also have to give the reasons of these people following (and partially having established) the standard point of view and carefully disprove these reasons. Just telling, the standard point of view were wrong, only because it contradicts you personal world view, is a bit weak. In addition the Einstein locality of standard relativistic QFT is a mathematical property, i.e., it cannot be disputed away by some interpretational metaphysics.