  In a recent work we presented a reformulation of the canonical quantum
gravity, based on adding the so-called kinematical term to the gravity-matter
action; this revised approach leads to a self-consistent canonical quantization
of the 3-geometries, referred to the external time as provided via the added
term.
  Here, we show how the kinematical term can be interpreted in terms of a non
relativistic dust fluid which plies the role of a ``real clock' for the quantum
gravity theory, and, in the WKB limit of a cosmological problem, makes account
for a dark matter component which, at present time, could play a dynamical
role.
