Quantization ambiguities in isotropic quantum geometry

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Abstract

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 these 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 behaviour at macroscopic volume for large values of the spin of the chosen representation.

Original languageEnglish (US)
Pages (from-to)5113-5129
Number of pages17
JournalClassical and Quantum Gravity
Volume19
Issue number20
DOIs
StatePublished - Oct 21 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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