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Loop quantum cosmology(LQC) is the symmetric model of loop quantum gravity. In this paper, we generalize the structure of loop quantum cosmology to the theories with arbitrary spacetime dimensions. The isotropic and homogenous cosmological…

广义相对论与量子宇宙学 · 物理学 2016-10-13 Xiangdong Zhang

We show how Loop Quantum Cosmology can be derived as an effective semiclassical description of Loop Quantum Gravity. Using the tools of QRLG, a gauge fixed version of LQG, we take the coherent states of the fundamental microscopic theory…

广义相对论与量子宇宙学 · 物理学 2014-10-20 Emanuele Alesci , Francesco Cianfrani

This article sheds new light on the problem of cosmological reduction in Loop Quantum Gravity. We critically analyze Quantum Reduced Loop Gravity -- an attempt to extract the cosmological sector of the full theory. We reconsider the…

广义相对论与量子宇宙学 · 物理学 2021-01-12 Jakub Bilski , Antonino Marciano

We use the method of embedding a subsystem (i.e. its observable algebra) into a larger quantum system to extract a cosmological sector from full Loop Quantum Gravity. The application of this method provides a setting for a systematic study…

广义相对论与量子宇宙学 · 物理学 2007-11-08 Tim A. Koslowski

Quantum Reduced Loop Gravity is a promising framework for linking Loop Quantum Gravity and the effective semiclassical dynamics of Loop Quantum Cosmology. We review its basic achievements and its main perspectives, outlining how it provides…

广义相对论与量子宇宙学 · 物理学 2016-08-03 Emanuele Alesci , Francesco Cianfrani

Loop Quantum Gravity (L.Q.G.) is one of the two most promising tentative theory for a quantum description of gravity. When applied to the entire universe, the so-called Loop Quantum Cosmology (L.Q.C.) framework offers microscopical models…

广义相对论与量子宇宙学 · 物理学 2014-11-20 J. Grain

Loop quantum gravity is a mature theory. To proceed to explicit calculations in cosmology, it is necessary to make assumptions and simplifications based on the symmetries of the cosmological setting. Symmetry reduction is especially…

广义相对论与量子宇宙学 · 物理学 2016-08-03 Aurélien Barrau , Boris Bolliet

We present a new cosmological model derived from Loop Quantum Gravity. The formulation is based on a projection of the kinematical Hilbert space of the full theory down to a subspace representing the proper arena for an inhomogeneous…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Emanuele Alesci , Francesco Cianfrani

Loop Quantum Gravity is a background independent, nonperturbative approach to the quantization of General Relativity. Its application to models of interest in cosmology and astrophysics, known as Loop Quantum Cosmology, has led to new and…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Guillermo A. Mena Marugan

This article presents an "in-a-nutshell" yet self-contained introductory review on loop quantum gravity (LQG) -- a background-independent, nonperturbative approach to a consistent quantum theory of gravity. Instead of rigorous and…

广义相对论与量子宇宙学 · 物理学 2014-12-30 Dah-Wei Chiou

An important goal is to understand better the relation between full loop quantum gravity (LQG) and the simplified, reduced theory known as loop quantum cosmology (LQC), {\em directly at the quantum level}. Such a firmer understanding would…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Jonathan Engle

The choice of the regularization scheme in Loop Quantum Cosmology (LQC) is crucial for the predicted phenomenology. We outline how the improved scheme can be naturally realized in Quantum Reduced Loop Gravity, describing the Universe as an…

广义相对论与量子宇宙学 · 物理学 2016-04-11 Emanuele Alesci , Francesco Cianfrani

Loop quantum gravity and cosmology are reviewed with an emphasis on evaluating the dynamics, rather than constructing it. The three crucial parts of such an analysis are (i) deriving effective equations, (ii) controlling the theory's…

广义相对论与量子宇宙学 · 物理学 2011-01-31 Martin Bojowald

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…

广义相对论与量子宇宙学 · 物理学 2009-10-16 Guillermo A. Mena Marugan

Considering as usual that the underlying geometry of our universe is well described by the spatially flat Friedmann-Lemaitre-Robertson-Walker line element, we review how the background of holonomy corrected Loop Quantum Cosmology (LQC)…

广义相对论与量子宇宙学 · 物理学 2019-05-01 Jaume de Haro , Llibert Aresté Saló , Supriya Pan

Loop Quantum Gravity is a nonperturbative and background independent program for the quantization of General Relativity. Its underlying formalism has been applied successfully to the study of cosmological spacetimes, both to test the…

广义相对论与量子宇宙学 · 物理学 2021-09-13 Beatriz Elizaga Navascués , Guillermo A. Mena Marugán

Loop Quantum Cosmology (LQC), mainly due to Bojowald, is not the cosmological sector of Loop Quantum Gravity (LQG). Rather, LQC consists of a truncation of the phase space of classical General Relativity to spatially homogeneous situations…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Johannes Brunnemann , Thomas Thiemann

We construct and study Loop Quantum Cosmology (LQC) when the Barbero-Immirzi parameter takes the complex value $\gamma=\pm i$. We refer to this new quantum cosmology as complex Loop Quantum Cosmology. We proceed in making an analytic…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Jibril Ben Achour , Julien Grain , Karim Noui

The basic idea of the LQC applies to every spatially homogeneous cosmological model, however only the spatially flat (so called $k=0$) case has been understood in detail in the literature thus far. In the closed (so called: k=1) case…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Lukasz Szulc , Wojciech Kaminski , Jerzy Lewandowski

In the last decade, progress on quantization of homogeneous cosmological spacetimes using techniques of loop quantum gravity has led to insights on various fundamental questions and has opened new avenues to explore Planck scale physics.…

广义相对论与量子宇宙学 · 物理学 2016-12-06 Ivan Agullo , Parampreet Singh
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