Unstable anisotropic loop quantum cosmology

Journal Article · Tue Sep 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.063521· OSTI ID:21322695

Nelson, William; Sakellariadou, Mairi ^[1]

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1. Department of Physics, King's College London, Strand WC2R 2LS, London (United Kingdom)

We study stability conditions of the full Hamiltonian constraint equation describing the quantum dynamics of the diagonal Bianchi I model in the context of loop quantum cosmology. 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 loop quantum gravity theory and loop quantum cosmology. As a result, one may question the choice of the quantization approach, the model of lattice refinement, and/or the role of the ambiguity parameters; all these should, in principle, be dictated by the full loop quantum gravity theory.

• OSTI ID: 21322695
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevD.80.063521; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
COSMOLOGY
EQUATIONS
HAMILTONIANS
INSTABILITY
LATTICE FIELD THEORY
QUANTIZATION
QUANTUM GRAVITY
SIMULATION
STABILITY