Quantization Ambiguities in Isotropic Quantum Geometry

Details Quantization Ambiguities in Isotropic Quantum Geometry Quantization Ambiguities in Isotropic Quantum Geometry

2002-06-18

arxiv.org/abs/gr-qc/0206053v1

Class.Quant.Grav.19:5113-5230,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 6 figures

Scientific paper

10.1088/0264-9381/19/20/306

Some typical quantization ambiguities of quantum geometry are studied within isotropic models. Since this allows explicit computations of operators and their spectra, one can investigate the effects of ambiguities in a quantitative manner. It is shown that those ambiguities do not affect the fate of the classical singularity, demonstrating that the absence of a singularity in loop quantum cosmology is a robust implication of the general quantization scheme. The calculations also allow conclusions about modified operators in the full theory. In particular, using holonomies in a non-fundamental representation of SU(2) to quantize connection components turns out to lead to significant corrections to classical behavior at macroscopic volume for large values of the spin of the chosen representation.

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