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A concept related to the asymmetry of time, usually related to the second law of thermodynamics, which says that entropy always either increases or stays the same.

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If time is like space, why entropy always increases with time?

Time is not like space. It is a coordinate, as the space coordinates, but that doesn't mean it is the same. Read Ben Crowell's answer here. Entropy is stochastic, it doesn't have to increase monotono …
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