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Showing posts from June, 2021

Entropy and Information

Sorry for abruptly pausing the journey of Han. I lacked motivation to continue the story. (Describing dirty politics withing the militaristic institution is surely interesting but is simply not charming enough for me to invest a chunk of my life in it.) I've been working on piano pieces since then. Should write about it sooner or later. Today's shower thought: von Neumann entropy is simple and beautiful, and tells a lot about the total information of the system. The famous BH entropy is also calculated from von Neumann entropy(Casini, 2009). However, something is deeply unsatisfying here. I feel that most theories just skim over conservation of "information" through von Neumann entropy when we could make far much out of it. Recall what Maxwell's Demon was capable of! That being said, Maxwell's Demon just shows us how confusing the argument relating entropy and information could be. Let's focus on classical Maxwell's Demon. It's trying to separate a...