Challenges in recovering a consistent cosmology from the effective dynamics of loop quantum gravity

Abstract

We reexamine a set of existing procedures aimed at recovering the effective description of the dynamics of LQG in the context of cosmological solutions. In particular, the studies of those methods, to which the choice of cuboidal graphs and graph-preserving Hamiltonian is central, result in the formulation of a set of no-go statements, severely limiting the possibility of recovering a physically consistent effective dynamics this way.

arXiv comment9 pages

References in corpus (53)

• Background Independent Quantum Gravity: A Status Report
• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Absence of Singularity in Loop Quantum Cosmology
• Quantum Spin Dynamics (QSD)
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• Loop quantum cosmology of k=1 FRW models
• Loop quantum cosmology of Bianchi I models
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Isotropic Loop Quantum Cosmology
• Polymer Quantum Mechanics and its Continuum Limit
• Effective Equations of Motion for Quantum Systems
• Loop quantum cosmology of Bianchi type IX models
• Homogeneous Loop Quantum Cosmology
• Algebraic Quantum Gravity (AQG) I. Conceptual Setup
• Closed FRW model in Loop Quantum Cosmology
• Anti-deSitter universe dynamics in LQC
• Loop quantum cosmology of Bianchi type II models
• Improved and Perfect Actions in Discrete Gravity
• Is loop quantization in cosmology unique?
• Loop Quantum Cosmology I: Kinematics
• Cosmological Effective Hamiltonian from full Loop Quantum Gravity Dynamics
• Loop Quantization of Vacuum Bianchi I Cosmology
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
• Numerical simulations of a loop quantum cosmos: robustness of the quantum bounce and the validity of effective dynamics
• Physical evolution in Loop Quantum Cosmology: The example of vacuum Bianchi I
• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
• Further Improvements in the Understanding of Isotropic Loop Quantum Cosmology
• Positive cosmological constant in loop quantum cosmology
• Numerical evolution of squeezed and non-Gaussian states in loop quantum cosmology
• High-order quantum back-reaction and quantum cosmology with a positive cosmological constant
• Open FRW model in Loop Quantum Cosmology
• Hypercuboidal renormalization in spin foam quantum gravity
• Numerical simulations of loop quantum Bianchi-I spacetimes
• New scalar constraint operator for loop quantum gravity
• How quantum is the big bang?
• Emergent de Sitter epoch of the Loop Quantum Cosmos: a detailed analysis
• Dust reference frame in quantum cosmology
• Quantum Reduced Loop Gravity: Semiclassical limit
• Lattice Refining Loop Quantum Cosmology and Inflation
• Isotropic Loop Quantum Cosmology with Matter
• Cosmological Coherent State Expectation Values in LQG I. Isotropic Kinematics
• Hamiltonian Renormalisation I: Derivation from Osterwalder-Schrader Reconstruction
• Loop quantum cosmology of a radiation-dominated flat FLRW universe
• A quantum reduction to Bianchi I models in loop quantum gravity
• Bouncing evolution in a model of loop quantum gravity
• Time evolution in deparametrized models of loop quantum gravity
• An embedding of loop quantum cosmology in (b, v) variables into a full theory context
• Improved regularization from Quantum Reduced Loop Gravity
• Band structure in the polymer quantization of the harmonic oscillator
• The volume operator in loop quantum cosmology

Cited by in corpus (13)

• Critical evaluation of common claims in loop quantum cosmology
• Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
• Effective relational cosmological dynamics from Quantum Gravity
• Improved ($\bar{\mu }$-Scheme) Effective Dynamics of Full Loop Quantum Gravity
• Phenomenological implications of modified loop cosmologies: an overview
• Generalised effective cosmology from group field theory
• Loop quantum cosmology: relation between theory and observations
• Algorithmic approach to Cosmological Coherent State Expectation Values in LQG
• Dynamically implementing the $\overline{\mu }$-scheme in cosmological and spherically symmetric models in an extended phase space model
• Effective LQC model for k=+1 isotropic cosmologies from spatial discretisations
• Bouncing Bianchi Models with Deformed Commutation Relations
• Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology
• Cosmological implications of the hydrodynamical phase of group field theory