Phys. Rev. D 79, 123509 (2009) [8 pages]Singularity avoidance and time in quantum gravityReceived 3 February 2009; published 17 June 2009 We consider the quantization of a Friedmann-Robertson-Walker universe. We derive a reduced square root Hamiltonian by choosing the scale factor as time variable and quantize the theory using Pauli matrices à la Dirac. From the resulting spinor equation we show that there is no semiclassical wave packet that avoids the big bang singularity. Our work raises the question concerning the relationship between the choice of time and singularity avoidance. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.123509
DOI:
10.1103/PhysRevD.79.123509
PACS:
98.80.Qc, 04.60.−m, 98.80.Bp
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