Observations on interfacing loop quantum gravity with cosmology
arXiv:1411.0323 · doi:10.1103/PhysRevD.92.124020
Abstract
A simple idea of relating the LQG and LQC degrees of freedom is discussed in context of toroidal Bianchi I model. The idea is an expansion of the construction originally introduced by Ashtekar and Wilson-Ewing and relies on explicit averaging of certain sub-class of spin-networks over the subgroup of the diffeomorphisms remaining after the gauge fixing used in homogeneous LQC. It is based on the set of clearly defined principles, thus is a convenient tool to control the emergence and behavior of the cosmological degrees of freedom in studies of dynamics in canonical LQG. Relating the proposed LQG-LQC interface with some results on black hole entropy suggests a modification to the area gap value currently used in LQC.
RevRex4-1, BibTex, 20pp
References in corpus (37)
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Nature of the Big Bang
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Loop quantum cosmology of k=1 FRW models
- Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
- Loop quantum cosmology and the k = - 1 RW model
- Algebraic Quantum Gravity (AQG) I. Conceptual Setup
- Homogeneous cosmologies as group field theory condensates
- Towards Spinfoam Cosmology
- Gravity quantized
- Anti-deSitter universe dynamics in LQC
- Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
- Hybrid quantization of an inflationary universe
- A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
- Search for Lorentz Invariance breaking with a likelihood fit of the PKS 2155-304 flare data taken on MJD 53944
- Lattice refining loop quantum cosmology, anisotropic models and stability
- Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
- Black hole state counting in Loop Quantum Gravity: A number theoretical approach
- Physical evolution in Loop Quantum Cosmology: The example of vacuum Bianchi I
- Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
- Black hole entropy quantization
- U(N) tools for Loop Quantum Gravity: The Return of the Spinor
- Algebraic Quantum Gravity (AQG) II. Semiclassical Analysis
- Algebraic Quantum Gravity (AQG) III. Semiclassical Perturbation Theory
- Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics
- A Hamiltonian Formulation of the BKL Conjecture
- Quantum geometry and microscopic black hole entropy
- Relating loop quantum cosmology to loop quantum gravity: Symmetric sectors and embeddings
- Quantum Reduced Loop Gravity: Semiclassical limit
- Dynamics for a 2-vertex Quantum Gravity Model
- Flux-area operator and black hole entropy
- Loop quantum cosmology of a radiation-dominated flat FLRW universe
- A quantum reduction to Bianchi I models in loop quantum gravity
- Effective dynamics of scalar perturbations in a flat Friedmann-Robertson-Walker spacetime in Loop Quantum Cosmology
- Local spinfoam expansion in loop quantum cosmology
- On the Configuration Spaces of Homogeneous Loop Quantum Cosmology and Loop Quantum Gravity
- Separable Hilbert space for loop quantization
Cited by in corpus (13)
- Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates
- Bouncing cosmologies from quantum gravity condensates
- Testing loop quantum cosmology
- Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
- Loop quantization of the Gowdy model with local rotational symmetry
- Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
- Loop quantum cosmology: relation between theory and observations
- Primordial perturbations in the Dapor-Liegener model of hybrid loop quantum cosmology
- State refinements and coarse graining in a full theory embedding of loop quantum cosmology
- Dapor-Liegener formalism of loop quantum cosmology for Bianchi I spacetimes
- Symmetry restriction and its application to gravity
- Universe's memory and spontaneous coherence in loop quantum cosmology
- Cosmological implications of the hydrodynamical phase of group field theory