this post was submitted on 21 Apr 2024
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Another problem: They claim to derive the idea of pressure by having proved that the number density (particles per volume) is the same on both sides of the partition. But this is only the right condition for equilibrium if the temperatures are equal on both sides. This is what happens when you don't check your revolutionary new method against the ideal gas law....
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.