I think that the most important idea of math, programming, physics etc is the idea of fixed points which is predicated on the idea of nilpotence.

Fixed points go by many names like invariance, spectra, diagonalization, embedding, braids etc.

By fixed point I mean something like the "Lawvere's fixed point theorem". https://ncatlab.org/nlab/show/Lawvere%27s+fixed+point+theore...

I have a braindump on this https://github.com/adamnemecek/adjoint

I also have a discord https://discord.gg/mr9TAhpyBW