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

## Abstract

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.

- Authors:

- 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)
- (Conicet, UNLP), Division Quimica Teorica, Diag. 113 y 64 S/N, Sucursal 4, Casilla de Correo 16, 1900 La Plata (Argentina)

- Publication Date:

- OSTI Identifier:
- 21020225

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.068503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 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

### Citation Formats

```
Amore, Paolo, Aranda, Alfredo, Cervantes, Mayra, Diaz-Cruz, J. L., Fernandez, Francisco M., and INIFTA.
```*Comment on 'Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation'*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.068503.

```
Amore, Paolo, Aranda, Alfredo, Cervantes, Mayra, Diaz-Cruz, J. L., Fernandez, Francisco M., & INIFTA.
```*Comment on 'Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation'*. United States. doi:10.1103/PHYSREVD.75.068503.

```
Amore, Paolo, Aranda, Alfredo, Cervantes, Mayra, Diaz-Cruz, J. L., Fernandez, Francisco M., and INIFTA. Thu .
"Comment on 'Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation'". United States.
doi:10.1103/PHYSREVD.75.068503.
```

```
@article{osti_21020225,
```

title = {Comment on 'Quantization of Friedmann-Robertson-Walker spacetimes in the presence of a negative cosmological constant and radiation'},

author = {Amore, Paolo and Aranda, Alfredo and Cervantes, Mayra and Diaz-Cruz, J. L. and Fernandez, Francisco M. and INIFTA},

abstractNote = {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.},

doi = {10.1103/PHYSREVD.75.068503},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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