John Bell came up with an experimental test, wherein any local and realist theory of QM had to satisfy a certain inequality. It was found that it is indeed violated (by two of the people who won the prize), and since no one wants to give up on realism, it was concluded that locality is violated by QM.. Except not really, as there’s an extra assumption that accompanies Bell’s inequality, and that is that the act of measurement of the first particle is an independent event. This leads to the idea of super determinism, which is that the act or choice of measurement was not independent but rather determined by some past event, along with what the particles will behave like and everything else. Since this past event could just be the Big Bang at which point everything was correlated, its not falsifiable, however experiments can be done to see how far the correlation between particle and measurement devices goes, and that was done very recently by Anton Zeilinger (third guy who got the prize). They went as far as half the age of universe by using light from quasars as the particles and measuring their polarization with their measuring devices. No correlation was found, so its somewhat of a hit against super determinism, and hence the Nobel committee might have decided that now is good enough evidence to award the prize (they’re only given for results that have a ‘high’ degree of confirmation, like Roger Penrose was given the Nobel Prize for his decades old work on Black holes only when Black holes were photographed).
Other than super determinism, the Many worlds interpretation also satisfies Bell’s inequalities while being local and real (basically its that bell’s inequality is a purely mathematical statement, we can say their violation implies violation of a physical property like locality or realism only after some extrapolation which leaves some loopholes). But other than Many worlds we can say that to some degree that though not a proof there’s some compelling enough evidence for saying the universe is non-local (or anti-real); now for the disclaimer, my explanation of super determinism may be somewhat incorrect (and most definitely incomplete) but hopefully you got some idea. You can see Sabine Hossenfelder’s explanations and this article-https://medium.com/the-infinite-universe/superdeterminism-may-have-solved-the-quantum-measurement-problem-beb36fa099f9 on Bell’s inequality and super determinism for some more info.
