A
A rise in entropy corresponds to a loss in information about microscopic details. In statistical mechanics, for instance, as particles in a box get mixed up and we lose track of their positions and momentums, the “Gibbs entropy” increases. In quantum mechanics, as particles become entangled with their environment, thus scrambling their quantum state, the “von Neumann entropy” rises. And as matter falls into a black hole and information about it gets lost to the outside world, the “Bekenstein-Hawking entropy” goes up.
A
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