First, I’d like to apologize for yet another question about crazy ideas on how quantum mechanics might actually work. I have no background in quantum mechanics. Recently, though, I started to study quantum computing, which turned my attention to Bell’s inequality and its experimental violations.
Latest of those experiments claim to be loophole-free. As I understand it, they place the measurement devices such far away from each other, that no speed-of-light communication is possible before the measurements took place.
But one thing bothers me: we can’t be sure what exactly happened at those remote devices unless classical information travels back to us from there. So it seems like a possibility that there is some kind of action, propagating as fast as light, that causes any measurements of the entangled pairs to be observed as correlated. (I imagine it as some kind of bit-flipping in cellular automata.)
Apparantly, either nobody had such ideas, or everyone regards them as obviously ridiculous. So my question is: what exactly does this idea contradict? Why do actual experimenters never care about it?
Below is the process that I picture in my mind. Please note that I'm showing it purely to clarify what I mean by post-measurement conspiracy. My question is not why this particular scheme is not going to work, but rather why any such post-measurement magic can't work, in the spirit of how far-away separation kills any possible communication channel between measurement devices.
When the tags (with the same "A" label in parentheses) spatially collide, they rewrite each other by adding remark in superscript meaning "relative to". In this way they "agree" with each other. And there is enough things to magically rewrite the outcome (classical information) to reproduce required correlations.