Hi Dr. Chinese, Jesse and I have discussed some of these matters before. Hi Jesse.
I think you're speaking, Dr., of the two principles, one of which must be violated for the quantum statistics based on uncertainty to be correct:
1. Bell realism, the principle that all variables have real values whether they can be measured or not under Uncertainty;
2. Locality, the principle that local effects stem from local causes.
It's my understanding that violation of Bell realism means that (for example- and it's the most-used method in Bell tests, I believe) when spin is measured on one axis of a particle, spin does not have a definite value on any other axis at that time. This accounts for the measurements of entangled particles on the same axis being correlated, by conservation of angular momentum, since they are not conjugate, and also for the measurements of two entangled particles on
different axes
not being correlated according to the applicable Bell inequality (depending on the number of states measured). On the other hand, violation of locality says that there is
never a correlation between the values except at the moment when the values are measured, at which point a non-local "channel" (I believe that's the current terminology) of unknown type "collapses the wave function" (or whatever terminology fits your favorite interpretation- I'm sticking with Copenhagen for clarity, but I like TI this week; Jesse, IIRC, and if his opinion has not changed, likes Everett) and by some means causes the conservation law to be observed, if the measurements are in the same plane, or the quantum distribution if they are not (I'm not a fan of non-locality, thus my tendency to typecast it as a quantum conspiracy theory). In either case, of course, Bell realism fails; the only question is, does locality fail, or not?
Cramer has proposed an experiment to attempt to differentiate between the two basically by sending the idler photons from a DCQE through light pipes in order to get enough time delay to determine whether the signal photons stop showing interference before the idler photons get their path "flopped over" to be directed to the
welcher weg detectors instead of the QE. This would appear to violate causality, though there is an argument that says that what's really happening is that the coincidence counting merely allows you to detect what's already there- that is, to differentiate between two interference patterns whose combination yields the appearance of non-interference when the QE is in use, or not when the
welcher weg detector is.
This happens because the QE beam splitter receives idler photons from both slits, whereas the
welcher weg beam splitter receives them from only one. The two beams received by the QE beam splitter interfere, expressing the quantum probability set by the slits and sorting the photons by phase, allowing detection of the interference pattern; there is no opportunity for this to occur at the
welcher weg beam splitter, because it is only struck by one beam. Note that the QE beam splitter must always receive photons from both
welcher weg beams; otherwise, the QE detector(s) are
welcher weg detector(s), because all the photons only came from one path. The
welcher weg splitter must always receive photons from only one slit; otherwise, it's not
welcher weg information. Twist it how you might, these two things must always be true for the experiment to work. This is also the explanation for Malus' Law: phase, and interference, and how phase changes under decoherence. (I am into strong decoherence: that is, interactions are measurements, in the HUP sense, and measurement results in uncertainty of the conjugate parameters.)
Later, after doing a bit of research so I wouldn't look so stupid: I went back and looked, and found
this thread. It looks like you guys have found Kramer's daughter's "Retrodiction" post; however, some people seem to think that it will be possible to see interference; I claim it will not, because without the coincidence detector, the two interference patterns cannot be disentangled and without differentiation between them it will be impossible to see anything but non-interference. And I don't see the coincidence detector in the Cramer experiment slide, and notes on the Dopfer slide make it apparent that Cramer intends to eliminate it. One cannot detect a single photon interfering. It's pretty much the sound of one hand clapping.
The idea, of course, is to differentiate between simple Bell non-realism, and more complicated non-locality (which includes Bell non-realism). The problem is, it may be impossible to differentiate them (depending on how baroque you want to get about non-locality) in the case of a negative result, i.e. no interference; the only definitive result is a positive one. And that means seeing interference without the coincidence detector, and that's not possible. All that's accomplished is to force the non-local explanation to be more baroque; it's not eliminated. (Although the idea of making the non-local crowd look more like conspiracy theorists is not unattractive. :D )