Quantumental said:
Which just leads to an infinite loop of "is the math equivalent to reality" or "is the applied math real (collapse) or pure (everett) real?"
For all of you who know better, please comment on my understanding and analysis of the "reality" (or severe lack thereof) behind the Bell Inequality:
1) Each particle of an entangled particle pair follows a trajectory towards a detector. We presume information cannot be transmitted faster than light - and since we are looking to use this effect to keep the detectors from prematurely tipping off the particles about the measurement choices, we will use photons as our particles.
2) Upon reaching the detector, the detector makes a binary measurement - judging the photon to be in one of two states. It has no way of knowing that the photon is entangled and we select a detector/photon combination that almost always results in a detection and measurement (reducing that potential third "not detected" state to less than 1%).
3) After many photon pair measurements, made at different measurement orientations, we check the combined measurement statistics from both detectors and note that the measurement results at one detector are apparently tied to the orientation selection at the other detector.
4) For arguments sake, we will position the detectors far enough apart that it will take minutes for one detector to report its measurement orientations and results to the other detector. And we will position a human observer at one of these detectors.
The results agree with the QM arithmetic. But that arithmetic doesn't correspond to what humans expect of reality.
So if you insist on applying a neatly time-ordered cause and effect sequence to this experiment, I have listed some options that come to mind. I believe they all have some claim to being "true". In other words, I do not see these claims as contradicting each other.
A) You could hold that the photons in the pair become committed to measurement results as soon as they are formed. Thus, information about the future detector orientations was available to the photon pair when it formed. Either the experiment is cosmically "rigged" - in the sense that the universe is constrained to allow only experiments that "work"; or information about the future is routinely available whenever entangled particles are formed.
B) The photons commit to a measurement result en route. This may be the easiest one to swallow. Photons have a
well-established "talent" for responding to "counter-factual" paths - places they have apparently never gone. When we say that a photon is emitted from a source, is reflected by mirror surfaces, and then strikes a target, what we really mean is that it was as if that path had been followed. We can have lasting evidence that energy from the photon is missing from the source and has appeared at the target with an appropriate time delay. But photons cannot be tracked like baseballs - and when examined closely do not follow such direct and simple paths. But for someone who is looking for a "true nature", it's easy to imagine a photon in flight using all information available from all its potential paths in a deterministic super-luminal computation of its final landing spot.
C) As nifty as the photon is, decoherence is tied to a measurement - the exchange of information between the photon and the measurement device and then the amplification of this measurement to human scale. Presumably, if the measurement device could isolate the result of its measurement from everything else, that result would remain in a superposition - although I have not seen this kind of experiment in the literature. So you could defer the measurement to the ultimate decoherence from the measurement process.
D) I'm not at all certain that this interpretation works - but why violate locality when you don't absolutely have to? At the cost of some serious entropy issues, you can defer the final measurement to whenever you can finally compare those measurements to the report from the other detector. You (and your immediate environment) get to be in a superposition of states until that report is received. The problem is that until you get the report, both you and the other detector get to broadcast "bad" information to the rest of the universe - information that would follow classical rather than quantum statistics. Eventually, that would all get cleaned up - but wouldn't that be too "ugly" to be "true"?