I wonder whether fundamental forces are conservative.
First of all, I'm not sure if we can talk about conservative forces, since to study electromagnetism, weak and strong interactions we need QFT.
For gravity, I'd that it's not conservative, because energy conservation doesn't even apply.
Energy of the universe and momentum i is always considered to be conserved. The face that the general theory of relativity is not a QFT theory makes no difference.
Nathan C.
Acutally, this guy gave a talk when I was in grad school. https://en.wikipedia.org/wiki/Entropic_gravity07/15/19