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Time's directionality based on entropy increase from "summary" of The Grand Design by Stephen Hawking,Leonard Mlodinow

According to the laws of thermodynamics, entropy tends to increase over time. This means that the universe as a whole is moving towards a state of greater disorder. Entropy is a measure of the number of ways in which a system can be rearranged, or the number of microstates that correspond to a given macrostate. In a system with low entropy, there are only a few ways in which the components can be arranged to produce the same overall state. As a result, there is a high degree of order in the system. On the other hand, in a system with high entropy, there are many ways in which the components can be rearranged to produce the same overall state. This leads to a high degree of disorder in the system. As time progresses, the system tends to move towards a state...
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    The Grand Design

    Stephen Hawking

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