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> how is it then, that things are becoming more spread out over time?

This may help: https://www.researchgate.net/figure/Classical-evolution-in-p...

If we knew the present we could predict the future - at least in classical physics. We have a very approximative knowledge of the present though, based on a macroscopic description. We can still predict a range of outcomes and see what it means in macroscopic terms. The initial set of states consistent with what we know “spreads out” as time goes by. We “lose” information by keeping only a “coarse” macroscopic description.



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