Singularities in loop quantum cosmology

Fuente: arXiv
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Autori principali: Bojowald, Martin, Diaz, Manuel, Duque, Erick I.
Natura: Preprint
Pubblicazione: 2025
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author Bojowald, Martin
Diaz, Manuel
Duque, Erick I.
author_facet Bojowald, Martin
Diaz, Manuel
Duque, Erick I.
contents Quantum effects are expected to modify the cosmological dynamics of the early universe while maintaining some (potentially discrete) notion of space-time structure. In one approach, loop quantum cosmology, current models are shown here to either be incompatible with a consistent space-time structure, or to have physical singularities. The latter happens in spite of a non-zero scale factor in the isotropic background dynamics. A new effective Friedmann equation shows that a bounce is obtained at sub-Planckian densities, preceded by a physical singularity at infinite scale factor that resembles a time-reversed big rip. The entire phase is accompanied by rapid changes of the Hubble radius. In addition, a new version of perturbative inhomogeneity in loop quantum cosmology is introduced that maintains a consistent space-time structure and has a non-singular background dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08116
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Singularities in loop quantum cosmology
Bojowald, Martin
Diaz, Manuel
Duque, Erick I.
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
Quantum effects are expected to modify the cosmological dynamics of the early universe while maintaining some (potentially discrete) notion of space-time structure. In one approach, loop quantum cosmology, current models are shown here to either be incompatible with a consistent space-time structure, or to have physical singularities. The latter happens in spite of a non-zero scale factor in the isotropic background dynamics. A new effective Friedmann equation shows that a bounce is obtained at sub-Planckian densities, preceded by a physical singularity at infinite scale factor that resembles a time-reversed big rip. The entire phase is accompanied by rapid changes of the Hubble radius. In addition, a new version of perturbative inhomogeneity in loop quantum cosmology is introduced that maintains a consistent space-time structure and has a non-singular background dynamics.
title Singularities in loop quantum cosmology
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2507.08116