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In the recent years the quantization methods of Loop Quantum Gravity have been successfully applied to the homogeneous and isotropic Friedmann-Robertson-Walker space-times. The resulting theory, called Loop Quantum Cosmology (LQC), resolves…

广义相对论与量子宇宙学 · 物理学 2010-11-23 Michal Artymowski , Zygmunt Lalak , Lukasz Szulc

In loop quantum cosmology (LQC) the big bang is replaced by a quantum bounce which is followed by a robust phase of super-inflation. Rather than growing unboundedly in the past, the Hubble parameter \emph{vanishes} at the bounce and attains…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Abhay Ashtekar , David Sloan

The dynamics of a (3 + 1) dimensional homogeneous anisotropic universe is modified by Loop Quantum Cosmology and, consequently, it has generically a big bounce in the past instead of a big-bang singularity. This modified dynamics can be…

广义相对论与量子宇宙学 · 物理学 2016-11-11 S. Kalyana Rama

The dressed metric and the hybrid approach to perturbations are the two main approaches to capture the effects of quantum geometry in the primordial power spectrum in loop quantum cosmology. Both consider Fock quantized perturbations over a…

广义相对论与量子宇宙学 · 物理学 2022-06-28 Bao-Fei Li , Parampreet Singh

Cosmological perturbations in Loop Quantum Cosmology (LQC) are usually studied incorporating either holonomy corrections, where the Ashtekar connection is replaced by a suitable sinus function in order to have a well-defined quantum…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Jaime Haro

The inflationary and pre-inflationary evolution of scalar modes of cosmological perturbations in a closed universe is analyzed for a loop quantum cosmology model with an inflationary regime consistent with the constraints on inflation…

广义相对论与量子宇宙学 · 物理学 2024-11-26 Lucas M. V. Montese , Nelson Yokomizo

For most initial conditions, cosmologically relevant physical modes were trans-planckian at the bounce time, often by many magnitude orders. We improve the usual loop quantum cosmology calculation of the primordial power spectra -- in the…

广义相对论与量子宇宙学 · 物理学 2018-05-23 Killian Martineau , Aurélien Barrau , Julien Grain

We argue that the anomalous power asymmetry observed in the cosmic microwave background (CMB) may have originated in a cosmic bounce preceding inflation. In loop quantum cosmology (LQC) the big bang singularity is generically replaced by a…

广义相对论与量子宇宙学 · 物理学 2015-09-30 Ivan Agullo

In this paper we consider realistic model of inflation embedded in the framework of loop quantum cosmology. Phase of inflation is preceded here by the phase of a quantum bounce. We show how parameters of inflation depend on the initial…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Jakub Mielczarek

In loop quantum cosmology (LQC), the initial singularity is replaced by a quantum bounce, leading to a universal post-bounce evolution characterized by three distinct epochs: bouncing, transition, and slow-roll inflation, before the hot…

广义相对论与量子宇宙学 · 物理学 2025-12-03 Yogesh , Bao-Fei Li , Mayukh R. Gangopadhyay , Anzhong Wang

Loop quantum cosmology (LQC) provides a resolution of the classical big bang singularity in the deep Planck era. The evolution, prior to the usual slow-roll inflation, naturally generates excited states at the onset of the slow-roll…

宇宙学与河外天体物理 · 物理学 2018-02-07 Tao Zhu , Anzhong Wang , Klaus Kirsten , Gerald Cleaver , Qin Sheng

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…

广义相对论与量子宇宙学 · 物理学 2015-03-12 Ivan Agullo , Abhay Ashtekar , William Nelson

The possibility that quantum geometry effects may alleviate the apparent tensions existing at large angular scales in the observations of the Cosmic Microwave Background explains the increasing interest in considering primordial…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Guillermo A. Mena Marugán , Antonio Vicente-Becerril , Jesús Yébana Carrilero

The hybrid and the dressed metric formalisms for the study of primordial perturbations in Loop Quantum Cosmology lead to dynamical equations for the modes of these perturbations that are of a generalized harmonic-oscillator type, with a…

广义相对论与量子宇宙学 · 物理学 2022-09-26 Simon Iteanu , Guillermo A. Mena Marugán

We extend the phenomenology of loop quantum cosmology (LQC) to second order in perturbations. Our motivation is twofold. On the one hand, since LQC predicts a cosmic bounce that takes place at the Planck scale, the second order…

广义相对论与量子宇宙学 · 物理学 2018-04-04 Ivan Agullo , Boris Bolliet , V. Sreenath

Proposing smooth initial conditions is one of the most important tasks in quantum cosmology. On the other hand, the low-energy effective action, appearing in the semiclassical path integral, can get nontrivial quantum corrections near…

广义相对论与量子宇宙学 · 物理学 2018-11-07 Suddhasattwa Brahma , Dong-han Yeom

A specific loop quantum cosmology model, mLQC-I, motivated by Thiemann's regularization of the Hamiltonian constraint, leads to the resolution of the big bang singularity and bounce in the isotropic setting, in which either the pre-bounce…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Meysam Motaharfar , Parampreet Singh

In this Essay we investigate the observational signatures of Loop Quantum Cosmology (LQC) in the CMB data. First, we concentrate on the dynamics of LQC and we provide the basic cosmological functions. We then obtain the power spectrum of…

广义相对论与量子宇宙学 · 物理学 2017-11-22 Spyros Basilakos , Vahid Kamali , Ahmad Mehrabi

Cosmological perturbations are generally described by quantum fields on (curved but) classical space-times. While this strategy has a large domain of validity, it can not be justified in the quantum gravity era where curvature and matter…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Ivan Agullo , Abhay Ashtekar , William Nelson

The closed, spatially isotropic FLRW universe (k=+1) is endowed with modifications due to a discrete underlying space-structure. Motivated from Loop Quantum Gravity techniques, a full Thiemann regularisation is performed. The impact of…

广义相对论与量子宇宙学 · 物理学 2021-03-22 Klaus Liegener , Stefan Andreas Weigl