Is dark matter imaginary matter?

I do not know (almost) anything about cosmology, QFT or those kind of things. Anyway I will post a wild suggestion here that just stroke me. Maybe we should think of dark matter/energy as imaginary matter energy, where imaginary is in the sense of imaginary numbers.

My point being, the real numbers set is not algebraically closed, while the complex set is. Thus, should not the word contain this symmetry is a more concrete way? The real numbers set is really not a very pretty looking thing, but the complex set really is! It is not only the closure thing. It is all the nice properties that follows with it, analytic functions, simple trigonometric identities and so on...

Or maybe is it antimatter we should view in this way?