Time and Entropy are practically linked because of probabilities though... Entropy drives time forward, by bringing random events and decay, whereas the direction of time directly influences the amount of Entropy that exists. If time were to go backwards, a glass would fix itself, and there would be no probabilities because the past is fixed, however, when time moves forward, everything is determined by probabilities and events in the far-future cannot be accurately predicted because of the existence of Entropy (Fate Egg is an example of probability in time, also, Precognition lets you see cards in the hand, but not in the deck).