This is what Einstein was referring to of course when he came up with the Einstein-Podolsky-Rosen paradox for Quantum Mechanics. I have written about this subject before and I even researched it for most of a Sabattical without coming to any definite conclusions. It still didn’t make sense to me. Then, maybe about a year ago, someone made a throwaway remark that made the whole thing crystal clear. The initial pair of particles created at time t=0 can be described by A SINGLE WAVEFUNCTION! And there is all you need to know. If the initial state can be described by a single wavefunction then it is absolutely no surprise whatsoever that if you measure a property of one of the particles at a later time t, then you can infer the same property for the other particle at the same time. There is no magic. There is no spooky action at a distance. Instead there is a single wavefunction which completely describes the situation. Now why this isn’t mentioned everytime there’s a discussion on the EPR paradox is completely beyond me.