Complete layman, but let me see if I’m getting close to gronking this:
1.) A photon is being observed. This is “local reality,” or in other words, “the part of the universe where measurements are being made”. The photon gets split into two. These two are identical to the first and to each other, including orientation and spin.
2.) Somehow the two photons are taken far away from each other and the orientation and/or spin of one is changed by the observer, and immediately the other photon changes in the same way. This is an example of quantum entanglement.
3.) At the time it was discovered, math doesn’t explain this phenomenon so physicists conclude there is either an unknown variable or local reality (the observed particle) doesn’t exist.
4.) Experiments over the ensuing decades identify the loopholes where the variables should be if they do exist.
5.) These Nobel winners did the work proving there were no variables where those loopholes are, ergo: local reality doesn’t exist.
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