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Another useful topic to understand that's related to this: Hamiltonian Mechanics (https://en.wikipedia.org/wiki/Hamiltonian_mechanics), which is a whole other way to express what Newton described with his physics, but in pure energetic terms.

Entropy is usually poorly taught, there's really three entropies that get convoluted. The statistical mechanics entropy, which is the math to describe random distribution of ideal particles. There's Shannon's entropy, which is for describing randomness in strings of characters. And there's classical entropy, which is to describe the fraction of irreversible/unrecoverable losses to heat as a system transfers potential energy to other kinds of energy on its way towards equilibrium with its surroundings or the "dead state" (which is a reference state of absolute entropy).

These are all named with the same word, and while they have some relation with each other, they are each different enough that there should be unique names for all three, IMO.



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