Unstable Anisotropic Loop Quantum Cosmology
arXiv:0907.4057 · doi:10.1103/PhysRevD.80.063521
Abstract
We study stability conditions of the full Hamiltonian constraint equation describing the quantum dynamics of the diagonal Bianchi I model in the context of LQC. Our analysis has shown robust evidence of an instability in the explicit implementation of the difference equation, implying important consequences for the correspondence between the full LQG theory and LQC. As a result, one may question the choice of the quantisation approach, the model of lattice refinement, and/or the role of the ambiguity parameters; all these should in principle be dictated by the full LQG theory.
13 pages, 2 figures
References in corpus (13)
- Quantum Nature of the Big Bang: Improved dynamics
- Loop quantum cosmology of Bianchi I models
- Isotropic Loop Quantum Cosmology
- Is loop quantization in cosmology unique?
- On the Hamiltonian Constraint of Loop Quantum Cosmology
- Lattice refining loop quantum cosmology, anisotropic models and stability
- Lattice Refining Loop Quantum Cosmology and Inflation
- Consistency Conditions for Fundamentally Discrete Theories
- Lattice Refining LQC and the Matter Hamiltonian
- Numerical solutions to lattice-refined models in loop quantum cosmology
- Numerical techniques for solving the quantum constraint equation of generic lattice-refined models in loop quantum cosmology
- Unique factor ordering in the continuum limit of LQC
- Instabilities in numerical loop quantum cosmology
Cited by in corpus (9)
- Loop Quantum Cosmology: A Status Report
- Quantum cosmology from the de Broglie-Bohm perspective
- Numerical simulations of loop quantum Bianchi-I spacetimes
- Numerical loop quantum cosmology: an overview
- Numerical Techniques in Loop Quantum Cosmology
- Von Neumann stability of modified loop quantum cosmologies
- Lattice Refining Loop Quantum Cosmology from an Isotropic Embedding of Anisotropic Cosmology
- Discretisation parameter and operator ordering in loop quantum cosmology with the cosmological constant
- Phenomenology of loop quantum cosmology