# Quantum of volume in de Sitter space

@article{Mielczarek2011QuantumOV, title={Quantum of volume in de Sitter space}, author={Jakub Mielczarek and W lodzimierz Piechocki}, journal={Physical Review D}, year={2011}, volume={83}, pages={104003} }

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 $\ensuremath{\Lambda}g0$. Modification of the Hamiltonian in terms of loop geometry parametrized by a length $\ensuremath{\lambda}$ introduces a scale dependence of the model. The spectrum of the volume operator is discrete and depends on $\ensuremath{\Lambda}$. Relating quantum of the volume with an elementary lattice…

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