> The sorts of useful analogies I was mostly talking about are those that appear in scientific research involving actionable technical details. Eg, diffusion models came about when folks with a background in statistical physics saw some connections between the math for variational autoencoders and the math for non-equilibrium thermodynamics.
These connections are all over the place but they tend to be obscured and disguised by gratuitous divergences in language and terminology across different communities. I think it remains to be seen if LLM's can be genuinely helpful here even though you are restricting to a rather narrow domain (math-heavy hard sciences) and one where human practitioners may well have the advantage. It's perhaps more likely that as formalization of math-heavy fields becomes more widespread, that these analogies will be routinely brought out as a matter of refactoring.
These connections are all over the place but they tend to be obscured and disguised by gratuitous divergences in language and terminology across different communities. I think it remains to be seen if LLM's can be genuinely helpful here even though you are restricting to a rather narrow domain (math-heavy hard sciences) and one where human practitioners may well have the advantage. It's perhaps more likely that as formalization of math-heavy fields becomes more widespread, that these analogies will be routinely brought out as a matter of refactoring.