Question About Chsh Proof Of Spooky Quantum Entanglement

[Lazarus]

This question is about the justification for the CHSH assumption of indeterminate photons in the proof of Spooky Quantum Entanglement.

 

CHSH assumes that the photons have indeterminate polarization with strange justification.  It is generally agreed that one Barium Borate Oxide crystal (BBO) cannot produce photons that have indeterminate polarization.  CHSH puts 2 BBOs together with one that produces vertically polarized photons and one that produces horizontally polarized photons and assumes that makes the photons indeterminate.  That seems like saying, with one guy throwing tomatoes at an actor and when another guy starts throwing eggs, the tomatoes become half tomato and half egg.  The CHSH experiments slow the generation of photon pairs from one BBO so that at least 25ns separates the pairs in time.  That seems to make the state of the polarization known, not indeterminate.  When one of the detectors is set to match vertical polarization, one of its counters registers vertical polarization and the other registers horizontal polarization so everything is known about the polarization of the photons and which BBO they came from.  What is indeterminate in this experiment?