Is there some kind of duality relationship between "proper point/small smear particles", and "emergent particle-like thingies dependent on the whole material's

Is there some kind of duality relationship between "proper point/small smear particles", and "emergent particle-like thingies dependent on the whole material's state"? I.e. if we look at things one way, we get a set F of fundamental particles, and a set E of emergent particles. But maybe there's some kind of transformation of the theory that takes E <-> F' and F <-> E'. Can we "flip" the theory into another theory that reverses the notions "fundamental", and "emergent"?