I could never do it justice. This link explains the Einstein Podalsky Rosen Paradox. Einstien apparently had quipped that it had to be a paradox or it would mean that god does play dice with the universe.
And as I understood it, the basic idea is that you split a particle in two, they go rocketing off into space. Measuring the spin of one instantaneously causes a change in the other. They react as if they were still a single particle. (Unfortunately the math also indicates you can't predict which will have which spin.)
They did an experiment in Switzerland using 7+ miles of fiber cable and found that that's what seems to happen. The only way it can be instantaneous is if relativity is wrong. In theory, the separation can be 7 miles or 7 light years and it would still be instantaneous.
The next step was to use a longer stretch of cable in case it was instrument error. I came across it in a book called CHAOS MIRROR (At least I think that was the book it was in. If not its still a great overview of non-linearity.)
Maybe Wolfgang can help out and correct me if I read it wrong.