The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
TLDR
In this paper, a self consistent extension of the inflationary paradigm over the 11 orders of magnitude in density and curvature, from the big bounce to the onset of slow roll, is presented.Abstract:
Using techniques from loop quantum gravity, the standard theory of cosmological perturbations was recently generalized to encompass the Planck era. We now apply this framework to explore pre-inflationary dynamics. The framework enables us to isolate and resolve the true trans-Planckian difficulties, with interesting lessons both for theory and observations. Specifically, for a large class of initial conditions at the bounce, we are led to a self consistent extension of the inflationary paradigm over the 11 orders of magnitude in density and curvature, from the big bounce to the onset of slow roll. In addition, for a narrow window of initial conditions, there are departures from the standard paradigm, with novel effects—such as a modification of the consistency relation between the ratio of the tensor to scalar power spectrum and the tensor spectral index, as well as a new source for non-Gaussianities—which could extend the reach of cosmological observations to the deep Planck regime of the early universe. Communicated by P Singhread more
Citations
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Extension of the quantum theory of cosmological perturbations to the Planck era
TL;DR: In this article, the standard theory of cosmological perturbations is extended to overcome this limitation by distinguishing between the true and apparent trans-Planckian difficulties and providing sufficient conditions under which the true difficulties can be overcome within a quantum gravity theory.
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Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates
TL;DR: In this article, the authors studied the hydrodynamics of simple condensate states of a group field theory model for quantum gravity coupled to a massless scalar field and reduced to its isotropic sector.
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Non-singular bounce scenarios in loop quantum cosmology and the effective field description
Yi-Fu Cai,Edward Wilson-Ewing +1 more
TL;DR: In this article, the authors compare the dynamics in loop quantum cosmology and in a non-singular bouncing effective field model with a nonstandard kinetic term at both the background and perturbative levels.
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Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics
TL;DR: In this article, the authors show that the quantum bounce is a generic feature of states even with a very wide spread, and for those which bounce much closer to the Planck volume.
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Quantum black holes in loop quantum gravity
TL;DR: In this article, the authors studied the quantization of spherically symmetric vacuum spacetimes within loop quantum gravity and showed that the singularity inside black holes is resolved.
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TL;DR: Loop quantum gravity as discussed by the authors is a background-independent, non-perturbative approach to the problem of unification of general relativity and quantum physics, based on a quantum theory of geometry.
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TL;DR: Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe as mentioned in this paper and explains the basis of modern cosmology and shows where the theoretical results come from.