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Noncommutativity in Effective Loop Quantum Cosmology
We construct a noncommutative extension of the Loop Quantum Cosmology effective scheme for the flat FLRW model with a free scalar field via a theta deformation.
Abraham Espinoza-García+3 more
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Homogeneous loop quantum cosmology [PDF]
Loop quantum cosmological methods are extended to homogeneous models in diagonalized form. It is shown that the diagonalization leads to a simplification of the volume operator such that its spectrum can be determined explicitly.
Martin Bojowald
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Testing loop quantum cosmology [PDF]
Loop quantum cosmology predicts that quantum gravity effects resolve the big-bang singularity and replace it by a cosmic bounce. Furthermore, loop quantum cosmology can also modify the form of primordial cosmological perturbations, for example by ...
Wilson-Ewing, Edward
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This Chapter provides an up to date, pedagogical review of some of the most relevant advances in loop quantum cosmology. We review the quantization of homogeneous cosmological models, their singularity resolution and the formulation of effective ...
Agullo, Ivan, Corichi, Alejandro
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Unimodular Loop Quantum Cosmology [PDF]
Unimodular gravity is based on a modification of the usual Einstein-Hilbert action that allows one to recover general relativity with a dynamical cosmological constant.
A. Ashtekar+12 more
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Isotropic Loop Quantum Cosmology [PDF]
Isotropic models in loop quantum cosmology allow explicit calculations, thanks largely to a completely known volume spectrum, which is exploited in order to write down the evolution equation in a discrete internal time.
+25 more
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Loop quantum cosmology and singularities [PDF]
Loop quantum gravity is believed to eliminate singularities such as the big bang and big crunch singularity. This belief is based on studies of so-called loop quantum cosmology which concerns symmetry-reduced models of quantum gravity. In this paper, the
Ward Struyve
doaj +6 more sources
Thermodynamics in Loop Quantum Cosmology [PDF]
Loop quantum cosmology (LQC) is very powerful to deal with the behavior of early universe. Moreover, the effective loop quantum cosmology gives a successful description of the universe in the semiclassical region.
Li-Fang Li, Jian-Yang Zhu
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Quantum gravity is expected to be necessary in order to understand situations where classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities, i.e., the fact that the backward evolution of a classical
Bojowald Martin
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A Brief Introduction to Loop Quantum Cosmology [PDF]
In recent years, Loop Quantum Gravity has emerged as a solid candidate for a nonperturbative quantum theory of General Relativity. It is a background independent theory based on a description of the gravitational field in terms of holonomies and fluxes ...
Marugan, Guillermo A. Mena
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