You can entangle two particles in QM, separate them by light years & when you measure the state of one of them you will instantaneously determine the state of the second one, no matter how far away it is. But you cannot transfer information by doing so - information must plod along at light speed between the two.
There are more complicated correlations in QM than cannot be explained by hidden variables - but those are still correlations and, analogously, don’t imply any «instantaneous travel»
(IIRC It’s possible that a super-deterministic hidden variable system could explain Aspect’s results. But that pretty much requires the universe to deliberately plot against you, which seems very unlikely.)
Right, but you didn't say "change" you said "determine".
> Aspect carried out the experiment in the early 80s
I have a write up of the maths behind this if anyone is interested, accessible to an undergraduate: https://h2.jaguarpaw.co.uk/posts/bells-theorem-made-simpler/
EDIT: ok, I asked AI and this speed is infinite, which is why the theory doesn't mesh well with relativity.