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It's like the the particles are connected in time. What could have coupled them?

Also the probability in QM is like diffusion in thermodynamics where each particle has different values but the overall total is exactly the macroscopic properties.

Maybe we can think of probabilities in QM in terms of thermodynamics diffusion in time?

In thermodyanamics, the randomness of each particle is due to its being a member of the group, but the whole average out depending on the container. Could QM be related to this diffusion but in time? What is the name of the interpretation that holds this view is there is one already available?