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As time progresses the universe changes in predictable ways, but those changes do not drive time, they are a result of it.
If you are very careful, you can get that frop of dye to reassemble: https://www.youtube.com/watch?v=p08_KlTKP50Laminar flow is very cool!
You misunderstand me--I do not think that the states determine the arrow, or that entropy determines the arrow, or anything like that. The local arrow is defined by something else--it is only the successive evolution of states that allows us to observe the direction of time. As time progresses the universe changes in predictable ways, but those changes do not drive time, they are a result of it.
The Second Law of Thermodynamics says that in any process, the entropy of the system plus its environment cannot decrease.
Yes, entropy always wins. It's just a cool video...