Quantum Entanglement

From time to time I've mentioned my fascination with the phenomenon known as quantum entanglement (QE) in which two particles which start out in contact with one another but are then sped at the speed of light to opposite ends of the universe, remain somehow mysteriously connected. Even though there's no conceivable way the particles can be in contact with each other nevertheless a change in one particle instantly "causes" a corresponding change in the other, as if they were somehow still joined together.

When I tell my students this I often get the feeling that they think I'm pulling their collective leg, but this phenomenon is well-known among physicists. Here's physicist Brian Greene discussing it:

All I can do when I see a video like this is paraphrase Shakespeare in Hamlet: There are more things in heaven and on earth than we could ever dream of. QE certainly lends credence to the view of physicist Sir James Jeans that the world looks more like a grand idea than a grand machine. In fact, it looks very much as though, at bottom, it's an idea in the mind of God. At least that might explain how one particle "knows" what's happening to the other.