this post was submitted on 21 Apr 2024
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A related issue that I doubt they've ever thought through: In statistical mechanics, the probability densities are defined on phase space, meaning that they're functions not just of position, but also momentum. They wouldn't be the first to get confused about this, helped along by oversimplified illustrations of "high entropy" and "low entropy" states that ignore the momentum part. But when you're reinventing a subject, it helps to avoid students' misconceptions about it.