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Noncommutativity in Effective Loop Quantum Cosmology

open access: yesAdvances in High Energy Physics, 2019
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
doaj   +4 more sources

Homogeneous loop quantum cosmology [PDF]

open access: greenClassical and Quantum Gravity, 2003
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
core   +8 more sources

Testing loop quantum cosmology [PDF]

open access: yesComptes Rendus. Physique, 2017
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
core   +5 more sources

Loop Quantum Cosmology [PDF]

open access: yes, 2013
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
core   +7 more sources

Unimodular Loop Quantum Cosmology [PDF]

open access: yesPhysical Review D, 2010
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
core   +5 more sources

Isotropic Loop Quantum Cosmology [PDF]

open access: yesClassical and Quantum Gravity, 2002
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
core   +7 more sources

Loop quantum cosmology and singularities [PDF]

open access: yesScientific Reports, 2017
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]

open access: yesAdvances in High Energy Physics, 2009
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
doaj   +3 more sources

Loop Quantum Cosmology [PDF]

open access: yesLiving Reviews in Relativity, 2005
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
doaj   +12 more sources

A Brief Introduction to Loop Quantum Cosmology [PDF]

open access: yesAIP Conference Proceedings, 2009
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
core   +7 more sources

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