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arXiv · 1011.3418

Quantum of volume in de Sitter space

Jakub Mielczarek·Wlodzimierz Piechocki
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Abstract

We apply the nonstandard loop quantum cosmology method to quantize a flat Friedmann-Robertson-Walker cosmological model with a free scalar field and the cosmological constant $\Lambda>0$. Modification of the Hamiltonian in terms of loop geometry parametrized by a length $\lambda$ introduces a scale dependence of the model. The spectrum of the volume operator is discrete and depends on $\Lambda$. Relating quantum of the volume with an elementary lattice cell leads to an explicit dependence of $\Lambda$ on $\lambda$. Based on this assumption, we investigate the possibility of interpreting $\Lambda$ as a running constant.

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Jakub Mielczarek, Wlodzimierz Piechocki. 2010-11-15. Quantum of volume in de Sitter space. https://doi.org/10.1103/physrevd.83.104003

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