Add to ORKGVolume operators measuring the total volume of space in a loop quantum theory of cosmological models are constructed. In the case of models with rotational symmetry an investigation of the Higgs constraint imposed on the reduced connection variables is necessary, a complete solution of which is given for isotropic models; in this case the volume spectrum can be calculated explicitly. It is observed that the stronger the symmetry conditions are the smaller is the volume spectrum, which can be interpreted as level splitting due to broken symmetries. Some implications for quantum cosmology are presented
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of element...
We study quantization ambiguities in loop quantum cosmology that arise for space-times with non-zero...
In the framework of loop quantum cosmology anomaly free quantizations of the Hamiltonian constraint ...
Isotropic models in loop quantum cosmology allow explicit calculations, thanks largely to a complete...
In Loop Quantum Gravity mathematically rigorous models of full quantum gravity were proposed. In thi...
The flat, homogeneous, and isotropic universe with a massless scalar field is a paradigmatic model i...
The basic idea of the LQC applies to every spatially homogeneous cosmological model, however only th...
Abstract. The mathematical structure of homogeneous loop quantum cosmology is analy-zed, starting wi...
14 pags.Recently, an alternative Hamiltonian constraint for loop quantum cosmology has been put forw...
We reexamine the process of loop quantization for flat isotropic models in cosmology. In particular,...
The volume operator plays a pivotal role for the quantum dynamics of Loop Quantum Gravity (LQG), bot...
Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of element...
Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of element...
This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of element...
We study quantization ambiguities in loop quantum cosmology that arise for space-times with non-zero...
In the framework of loop quantum cosmology anomaly free quantizations of the Hamiltonian constraint ...
Isotropic models in loop quantum cosmology allow explicit calculations, thanks largely to a complete...
In Loop Quantum Gravity mathematically rigorous models of full quantum gravity were proposed. In thi...
The flat, homogeneous, and isotropic universe with a massless scalar field is a paradigmatic model i...
The basic idea of the LQC applies to every spatially homogeneous cosmological model, however only th...
Abstract. The mathematical structure of homogeneous loop quantum cosmology is analy-zed, starting wi...
14 pags.Recently, an alternative Hamiltonian constraint for loop quantum cosmology has been put forw...
We reexamine the process of loop quantization for flat isotropic models in cosmology. In particular,...
The volume operator plays a pivotal role for the quantum dynamics of Loop Quantum Gravity (LQG), bot...
Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of element...
Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of element...
This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of element...
We study quantization ambiguities in loop quantum cosmology that arise for space-times with non-zero...