Cosmological Issues for Revised Canonical Quantum Gravity

Abstract

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.