Theoretical Physics(DTP)
Physique théorique (DPT)

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Viqar HUSAIN
University of New Brunswick

Singularly Resolution in Quantum Gravity

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We examine the singularity resolution issue in quantum gravity by studying a new quantization of Friedmann-Robertson-Walker geometrodynamics. The quantization procedure is based on an alternative to the usual Schrodinger representation used in metric variable quantum cosmology. We show that in this representation there exists a densely defined inverse scale factor operator, and that the Hamiltonian constraint acts as a difference operator on the basis states. We find that the cosmological singularity is avoided in the quantum dynamics. We discuss these results with a view to identifying the criteria that constitute "singularity resolution" in quantum gravity.