Abstract. We present a construction of the Hubble operator for spatially flat isotropic loop quantum cosmology. This operator is a Dirac observable on a subspace of the space of physical solutions. This subspace gets selected dynamically, requiring that its action be invariant on the physical solution space. As a simple illustrative application of the expectation value of the operator, we find a generic phase of (super)inflation, a feature shown by Bojowald [1] from the analysis of the effective Friedmann equation of loop quantum cosmology.

PACS numbers: 04.60.Pp, 04.60.Kz, 98.80.Qc

Print publication: Issue 1 (7 January 2004)
Received 11 August 2003
Published 20 November 2003