" Does that seem hard? I think it’s hard. The relevant physical phenomena include at least"

Imo no, this seems like something that would be in multiple scientific papers so a LLM would be able to generate the answer based on predictive text.

A full model of a cup of water cooling is, in fact, incredibly difficult.

Impossible, since it is chaotic.

But a T(t) model should not be too hard for an LLM with a basic heat transfer book in its training set.

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		You don't need a full model of every atomic interaction because all of those chaotic interactions end up averaging out. Given enough coin flips you will end up on a 50/50 split even if the individual flips are unpredictable. Given enough atomic interactions the heat will transfer in the same way every time.