Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-01-29
Phys.Rev.D79:123509,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages, 2 figures, typos corrected
Scientific paper
10.1103/PhysRevD.79.123509
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 the Dirac method. 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.
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