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The Hubble operator in isotropic loop quantum cosmology

Golam Mortuza Hossain

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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

98.80.Qc Quantum cosmology

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

04.60.Kz Lower dimensional models; minisuperspace models

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

MSC

83F05 Cosmology

83Cxx General relativity

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 1 (7 January 2004)

Received 11 August 2003

Published 20 November 2003



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