Alternative loop quantum cosmology
arXiv:2212.05748 · doi:10.1103/PhysRevD.107.046012
Abstract
An alternative quantization of the gravitational Hamiltonian constraint of the Friedmann-Robertson-Walker model is proposed by treating the Euclidean term and the Lorentzian term independently, mimicking the treatment of full loop quantum gravity. The resulting Hamiltonian constraint operator for the model with a massless scalar field is successfully constructed, and is shown to have the corrected classical limit. Compared to the former quantization schemes in the literature where only the Euclidean term is quantized, the new quantum dynamics of the model with a massless scalar field indicates that the classical big-bang singularity is replaced by an asymmetric quantum bounce.
arXiv comment10 pages, 3 figures; V2, 15 pages, 3 figures, version published in PRD
References in corpus (53)
- Background Independent Quantum Gravity: A Status Report
- Discreteness of area and volume in quantum gravity
- Loop Quantum Cosmology: A Status Report
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Geometry and Black Hole Entropy
- Quantum Theory of Gravity I: Area Operators
- Real Ashtekar Variables for Lorentzian Signature Space-times
- Quantum Spin Dynamics (QSD)
- Loop Quantum Cosmology
- Quantum geometry and the Schwarzschild singularity
- Loop quantum cosmology of k=1 FRW models
- Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
- Fundamental Structure of Loop Quantum Gravity
- Quantum Gravity and Regge Calculus
- Isotropic Loop Quantum Cosmology
- Loop Quantum Cosmology: An Overview
- Loop quantum cosmology and the k = - 1 RW model
- A length operator for canonical quantum gravity
- Closed FRW model in Loop Quantum Cosmology
- Alternative quantization of the Hamiltonian in loop quantum cosmology II: Including the Lorentz term
- Loop quantum cosmology of Bianchi type II models
- Cosmological Effective Hamiltonian from full Loop Quantum Gravity Dynamics
- Towards Cosmological Dynamics from Loop Quantum Gravity
- Casting Loop Quantum Cosmology in the Spin Foam Paradigm
- Emergent de Sitter epoch of the quantum Cosmos
- New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis
- Extension of loop quantum gravity to theories
- Open FRW model in Loop Quantum Cosmology
- New length operator for loop quantum gravity
- Loop quantum cosmology of k=1 FRW: A tale of two bounces
- Loop quantum theories
- Nonperturbative Loop Quantization of Scalar-Tensor Theories of Gravity
- Effective Dynamics from Coherent State Path Integral of Full Loop Quantum Gravity
- Effective Scenario of Loop Quantum Cosmology
- Emergent de Sitter epoch of the Loop Quantum Cosmos: a detailed analysis
- Improved (-Scheme) Effective Dynamics of Full Loop Quantum Gravity
- Bouncing evolution in a model of loop quantum gravity
- New volume and inverse volume operators for loop quantum gravity
- Implications of quantum ambiguities in k=1 loop quantum cosmology: distinct quantum turnarounds and the super-Planckian regime
- First-Order Quantum Correction in Coherent State Expectation Value of Loop-Quantum-Gravity Hamiltonian
- Loop Quantum Brans-Dicke Theory
- Path Integrals and Alternative Effective Dynamics in Loop Quantum Cosmology
- Entropy of black holes with arbitrary shapes in loop quantum gravity
- Loop quantum cosmology of k=1 FLRW: Effects of inverse volume corrections
- Effective dynamics of the closed loop quantum cosmology
- Loop quantum gravity and cosmological constant
- Canonical loop quantization of the lowest-order projectable Horava gravity
- Gauge-invariant bounce from loop quantum gravity
- Loop quantum cosmology and the Wheeler-De Witt equation
- Algorithmic approach to Cosmological Coherent State Expectation Values in LQG
- Loop quantum cosmology from an alternative Hamiltonian
- Loop quantum cosmology from an alternative Hamiltonian. II. Including the Lorentzian term
- Effective LQC model for k=+1 isotropic cosmologies from spatial discretisations