You are making a claim about what does or does not exist in the quantum realm, i.e. when you say that there are no hidden variables and you saying that there is no local reality, at least in the sense that I call local reality. Such a claim is called "ontic", I believe, referring to ontology ( From WiKi: Ontology—claims about what things, such as categories and entities, exist in the world).The pair are created with opposite angular momentums. Meaning they are exact opposites. It doesn't matter how far apart they are. They will always be detected with opposite spins. And since they are propagating with opposite angular momentums the mathematical wave-function of quantum mechanics applies.
This is why de Broglie's has a double solution theory. One wave is physical and describes the interaction between the particle and its physical wave. The other wave describes the wave function. de Broglie's double solution theory is both classical and quantum.
The following describes what is occurring classically.
When a downconverted photon pair are created, in order for there to be conservation of momentum, they are created with opposite angular momentum.
As they are propagating with opposite polarization, they can determine their partner’s location and momentum based upon their own.
They are not physically or superlumanally connected.
They are entangled as they can determine each other’s state.
Nothing is determined over large distances. They are going to be detected with the spins they are because they are propagating with opposite angular momentums. Nothing is hidden as there are no such things as hidden-variables.
In contrast, as I said in post #64, "The Hidden Variables interpretations are based on an assumption the various interpretations of QM are incomplete, and that there is an underlying level of reality, what I call the foundational level, or some kind of sub-quanta world that is as yet undetected."
My claim is about possibilities, and as yet undiscovered sub quanta in an as yet undetected realm I call the foundational medium of space. My position is what is referred to as epistemic (From WiKi: Epistemology—claims about the possibility, scope, and means toward relevant knowledge of the world).
The difference between my epistemic claim and your ontic claim is that you say that according to your view, the nature of reality does not include hidden variables, and my epistemic claim is that the nature of reality is as yet undiscovered, and as such, any interpretation that rejects hidden variables is incomplete.
But our difference goes deeper, because the details of each of our interpretations deviates from the consensus interpretation of Quantum Mechanics (or at least I know my does; you can decide for yourself if yours differs). Rather than just calling the consensus "the Copenhagen group of interpretations", I want to refer to the consensus interpretation in layman terms as that which is conveyed by Zellinger in "The Dance of the Photons", which I read last year. In a nut shell, a photon (or presumably any particle) is in superposition until it is observed, and he defines experiments that show photons taking two paths when unobserved, and interfering with each other, and thus he concludes that a single photon appears to be in two places at once if it is unobserved. For a reference to Zellinger's conclusions, here is a article that tries to sum it up http://luysii.wordpress.com/2010/11/29/quantum-superposition-experimental-proof/
Your argument that there are no hidden variables is supported by Zellinger, and my argument is not falsified by Zellinger, which you might take to mean that your position is stronger than mine. But yours is "ontic" and mine is "epistemic". You don't think there is any incompleteness to you interpretation, and I think it is incomplete and that there is a foundational medium full of wave energy at all times, and when a particle is unobserved, it still exists in specific states, and has both location and momentum.
As you can tell, I'm not sophisticated and can't make any claims of evidence for my position. You, on the other hand, have a great deal of support compiled and I give you credit for that. I guess between our views, it boils down to the same problem for both of us, that you cannot prove a negative. You cannot prove there are no hidden variables, and I cannot prove that the other interpretations of QM are incomplete.