More on cold dark matter from q-theory
  We consider the rapidly-oscillating part of a $q$-field in a cosmological context and find that its energy density behaves in the same way as a cold-dark-matter component, namely proportional to the inverse cube of the cosmic scale factor. 
F.R. Klinkhamer, G.E. Volovik
gr-qc astro-ph.CO hep-th