Shortcomings of the Big Bounce derivation in Loop Quantum Cosmology

Details Shortcomings of the Big Bounce derivation in Loop Quantum Cosmology Shortcomings of the Big Bounce derivation in Loop Quantum Cosmology

2010-06-09

arxiv.org/abs/1006.1814v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, accepted for publication in Phys. Rev. D as a Rapid Communication

Scientific paper

We give a prescription to define in Loop Quantum Gravity the electric field operator related to the scale factor of an homogeneous and isotropic cosmological space-time. This procedure allows to link the fundamental theory with its cosmological implementation. In view of the conjugate relation existing between holonomies and fluxes, the edge length and the area of surfaces in the fiducial metric satisfy a duality condition. As a consequence, the area operator has a discrete spectrum also in Loop Quantum Cosmology. This feature makes the super-Hamiltonian regularization an open issue of the whole formulation.

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