Comment on 'Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation'

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.068503· OSTI ID:21020225

Amore, Paolo; Aranda, Alfredo; Cervantes, Mayra; Diaz-Cruz, J L; Fernandez, Francisco M ^[1]

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1. Facultad de Ciencias, Universidad de Colima, Bernal Diaz del Castillo 340, Colima, Colima (Mexico) and Facultad de Ciencias, Universidad de Colima, Bernal Diaz del Castillo 340, Colima, Colima, Mexico Facultad de Ciencias Fisico-Matematicas, BUAP Apdo. Postal 1364, C.P.72000 Puebla, Pue (Mexico)

The quantization of the Friedmann-Robertson-Walker spacetime in the presence of a negative cosmological constant was used in a recent paper to conclude that there are solutions that avoid singularities (big bang-big crunch) at the quantum level. We show that a proper study of their model does not indicate that it prevents the occurrence of singularities at the quantum level, in fact the quantum probability of such event is larger than the classical one. Our numerical simulations based on the powerful variational sinc collocation method (VSCM) also show that the precision of the results of that paper is much lower than the 20 significant digits reported by the authors.

• OSTI ID: 21020225
• Journal Information: Physical Review. D, Particles Fields, Vol. 75, Issue 6; Other Information: DOI: 10.1103/PhysRevD.75.068503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCURACY
COMPUTERIZED SIMULATION
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
COSMOLOGY
MATHEMATICAL SOLUTIONS
PROBABILITY
QUANTIZATION
QUANTUM FIELD THEORY
SINGULARITY
SPACE-TIME
VARIATIONAL METHODS