Gabriele Carcassi - The classical limit explained

See Classical mechanics as the high-entropy limit of quantum mechanics by Gabriele Carcassi, Manuele Landini and Christine A Aidala. Also available at https://arxiv.org/abs/2411.00972.


My comments:

1:14:07 My poor brain can't reconcile the idea of quantum descriptions having "a lower bound on the entropy" with classical descriptions having high entropy, because the latter seems to imply that descriptions of quantum systems, being low entropy, have an upper bound on their entropy. Is it just because the entropy of classical systems can be arbitrarily negative?

I think I just missed the point that it's the process of quantizing in which we put a lower bound on the entropy of the classical description of the system, not that the lower bound is on the entropy of the quantum description we produce by quantization of the classical description. 😵‍💫

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Jorge Diaz does very nice talks giving the historical background of the mathematical ideas behind classical mechanics that were developed mostly in the nineteenth century. 


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