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Properties of Fluctuating States in Loop Quantum Cosmology

Martin Bojowald
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Martin Bojowald: Institute for Gravitation and the Cosmos, The Pennsylvania State University, 104 Davey Lab, University Park, PA 16802, USA

Mathematics, 2019, vol. 7, issue 7, 1-11

Abstract: In loop quantum cosmology, the values of volume fluctuations and correlations determine whether the dynamics of an evolving state exhibits a bounce. Of particular interest are states that are supported only on either the positive or the negative part of the spectrum of the Hamiltonian that generates this evolution. It is shown here that the restricted support on the spectrum does not significantly limit the possible values of volume fluctuations.

Keywords: loop quantum cosmology; positive spectrum; fluctuations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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