Earlier quoted context omitted.
I'm afraid you just don't understand the QM experiments in question. For there to be a secret difference between the two particles requires observed reality to be a lie.
I think I understand these experiments pretty well, having executed experiments of their kind myself. The mathematics tells us the particles are indistinguishable. The physics tells us that the mathematics describes the observations pretty accurately. But they remain observations with an experimental error and they leave room for the especially interesting options of 1) small deviations that are amplified when you in…
No, but they sure should have a damn powerful influence over your estimated probabilities for your previous hypothesises. Many of those observations are tests, after all.
Now, though I don't yield QM with my own strength, I can tell that the basics have little to do with chaotic systems, and that most of our intuitions are better thrown out the widow. Really, go read that sequence, at least until you can parse "complex amplitude distribution over a configuration space". It's accessible, it's established science, and I trust Eliezer reported it accurately.