WernerQH said:
Yes, that's exactly the point. And sorry for echoing "typical Copenhagen double talk". Electrons and photons are not "objects in the classical sense", but what are they? I think it's misleading to the extreme to call them any kind of "object" at all. For me the word "photon" (more precisely, of course, the photon propagator) describes just the correlation between short-lived currents in the "source" and the "detector", emission and absorption events. I don't assume that there is
anything that "travels" from A to B, expanding into space, and then instantaneously collapsing to a point. I think this is more in line with the actual QED formalism: a minimal statistical interpretation with a minimal ontology. Merely statistics of events distributed in spacetime. I consider myself a realist, and my take on the Bell-type experiments is the opposite of that of
@vanhees71. The absorption and emission processes in these experiments are real and definite, and the description (theory) is decidedly non-local. Talk of "quantum objects" with indefinite but entangled "properties" is much more confusing than simply stating (describing) correlations.
Indeed, here you are contradicting the mathematical facts of local relativistic QFT. Interestingly you precisely describe the meaning of the formalism, i.e., that the observables are encoded in autocorrelation functions (Green's functions) of observables with the meaning of detection probabilities. That's the meaning of quantum fields, and photons are pretty special states, i.e., Fock states of asymptotically free electromagnetic fields. Their charactristic is that they can be registered once or not at all. That's what makes them "quanta" in the original sense of Planck, and indeed what's localized is not the photon, which has not even a position observable at all but the detector (or the atom within the detector with which the photon interacted to finally lead to its detection).
The formalism is built such that the observations ("detector clicks") are local, i.e., space-like separated registration events cannot be causally connected. The theory is not "realistic" in Bell's sense, because as in any QT also in relativistic local QFT the observables of a "quantum object" (and for me photons, electrons, atoms, etc. are indeed objects, because they can be prepared in quantum states, as is obvious from the fact that we can do experiments with high precision with them) only take determined value, if they are prepared in a corresponding state. I also don't see any problem with the notion of an "object" in the case of entangled quanta. Then the corresponding single-particle states are strongly correlated and the single-particle observables are indetermined, but the state as a whole is still an object with clearly defined properties, which are encoded in the state they are prepared in.
Of course, what's real are indeed the "detector clicks", and all we can predict about them with QFT are the probabilities for a detector to click at its position at any time after the preparation of the "object" observed.
WernerQH said:
Maxwell thought of light as waves, and for him waves traveling without any medium that carries them must have been as unthinkable as QED without electrons and photons is for us. But these concepts carry too many classical connotations that we should get rid of. For many it seems self-evident that the correlations in Bell-type experiments must be caused by something traveling from the source to the detectors. It's a simple, "obvious" explanation, but it gets us into the quantum quagmire, and I prefer to stay away from it.
The correlations in Bell-type experiments are due to the preparation of the systems in entangled states. The strong correlations are already there, when the system is measured. It's not the measurement that causes the correlations, which is clearly demonstrated by the fact that the correlations are observed also when the observation events are space-like separated. There were even experiments done, where the choice of the measured observables on the separate parts of the system was made at spacelike separation, i.e., also here any causal effect of the choice of the measured observables at the separated places is excluded.
Within QED, what "propagates in a wavelike way" are the probability distributions for photon detections. That's not different from classical electrodynamics, where what we observe in optics are also the intensity distributions (energy densities) of the electromagnetic field. The fields themselves manifest by the interactions with the charged matter making up the detectors we use to observe or measure them (including our eyes). There is not so much difference between classical field theories and quantum field theories in this respect. The difference is however that there are situations, that can only be described by quantum and not by classical electrodynamics (spontaneous emission, quantum beats, single photons, entanglement,...).