I was re-reading the comments on an earlier post where I proposed a dilemma for God’s knowledge of the nature of the reality. I argued that if God knows the outcome of the the random events hypothesized in (some interpretations of) quantum mechanics then his knoweldge of these outcomes will interfere with the physical process in such a way as to ‘hide’ the wave-like nature of matter. If this is the case then God’s knowledge is necessarily limited and we would have discovered something about nature that God can’t know (i.e. that matter has wave-like properties).
In the comments the main response, given separately by Richard C. and Eric Weinberg, seemed to be that God’s knowledge would be achieved in such a way that it did NOT interfere with the physical process. It would not bring out the collapse of the wave-function and so His knowledge is not mysterious. I disagreed with this objection, but then I started thinking that even if I grant the objection there is still a problem here. So let’s grant it and assume that God knows the outcome of teh random physical process in such a way that it does not disturb the process and so does not collapse the wave-function.
But if that is the case then we have the same, but opposite, problem that we had before. Instead of the wave-like nature of reality being ‘hidden’ from God, it now looks like it is the particle-like nature of reality that is ‘hidden’. For, if His knowledge does not collapse the wave-function then He won’t ever see the constituents of reality acting like particles!
Either way, it looks like we have discovered something about reality that God couldn’t have discovered on His own…