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- W23193668 abstract "The loop quantization of the negatively curved $k=ensuremath{-}1$ Robertson-Walker model poses several technical challenges. We show that the issues can be overcome and a successful quantization is possible that extends the results of the $k=0$, $+1$ models in a natural fashion. We discuss the resulting dynamics and show that for a universe consisting of a massless scalar field, a bounce is predicted in the backward evolution in accordance with the results of the $k=0$, $+1$ models. We also show that the model predicts a vacuum repulsion in the high curvature regime that would lead to a bounce even for matter with vanishing energy density. We finally comment on the inverse volume modifications of loop quantum cosmology and show that, as in the $k=0$ model, the modifications depend sensitively on the introduction of a length scale which a priori is independent of the curvature scale or a matter energy scale." @default.
- W23193668 created "2016-06-24" @default.
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- W23193668 date "2007-01-26" @default.
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- W23193668 title "Loop quantum cosmology and the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:math>Robertson-Walker model" @default.
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- W23193668 doi "https://doi.org/10.1103/physrevd.75.023523" @default.
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