I had heard from Barry Barish that (paraphrased from Lex Fridman podcast): In 1916, Einstein noticed that if he wrote the formulas for general relativity in a particular way, they looked a lot like the formulas for electricity and magnetism. He knew that electricity and magnetism had waves. So he said if the formulas looked similar, then gravity probably has waves too.
The hope is that finding such a dictionary may lead to similar insights about whatever equation / expression of relationships one is starting with.
I want to find a dictionary that lists equations across disciplines that are isomorphic/equivalent to one another. For example:
Physics: $$F=ma$$
Electronics: Ohms law: $$V=iR$$
Physics: Hooke’s law: $$F=-kx$$
And so on (preferably way more disciplines and sub disciplines and math sub disciplines)
Would love any help whatsoever!