The loop quantum cosmology bounce as a Kasner transition
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For the Bianchi type I space-time (vacuum or with a massless scalar field), the loop quantum cosmology bounce can be viewed as a rapid transition between two classical solutions, with a simple transformation rule relating the Kasner exponents of the two epochs. This transformation rule can be extended to other Bianchi space-times under the assumption that during the loop quantum cosmology bounce the contribution of the spatial curvature to the Hamiltonian constraint is negligible compared to the kinetic terms. For the vacuum Bianchi type IX space-time there are transformation rules for how each of the parameters characterizing the Kasner epochs change during the bounce. This provides a quantum gravity extension to the Mixmaster dynamics of general relativity, and may have interesting implications for the Belinski–Khalatnikov–Lifshitz conjecture.
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For vacuum Bianchi IX, the loop quantum cosmology effective dynamics can be approximated by a sequence of classical vacuum Bianchi I solutions, following the usual Mixmaster transition maps in the classical regime, and undergoing a bounce with the new transition rule in the Planck regime.
“As a result, the loop quantum cosmology effective dynamics for the vacuum Bianchi IX space-time can be approximated by a sequence of classical vacuum Bianchi I solutions, following the usual Mixmaster transition maps in the classical regime, and undergoing a bounce with this new transition rule in the Planck regime.”
From Weyl Curvature Hypothesis in Light of Quantum Backreaction at Cosmological Singularities or Bounces (2021) · cites this paper as [198]
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Experimental — accuracy not yet measuredThe bounce in Wilson-Ewing's model can be approximated as an instantaneous transition between two classical vacuum Bianchi I solutions, with simple transition rules relating the solutions before and after the bounce.
“The bounce can be approximated as an instantaneous transition between two classical vacuum Bianchi I solutions, with simple transition rules relating the solutions before and after the bounce.”
From Weyl Curvature Hypothesis in Light of Quantum Backreaction at Cosmological Singularities or Bounces (2021) · cites this paper as [198]
Wilson-Ewing's loop quantum cosmology effective dynamics for vacuum Bianchi type I and type IX space-times replaces the classical singularity with a non-singular bounce.
“In the loop quantum cosmology effective dynamics for the vacuum Bianchi type I and type IX space-times, a non-singular bounce replaces the classical singularity.”
From Weyl Curvature Hypothesis in Light of Quantum Backreaction at Cosmological Singularities or Bounces (2021) · cites this paper as [198]
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References 71 · Cited by 48
Research works printed but not linked: 1
- [19]19. Pawłowski T 2017 Numerical evolution of the Bianchi I dynamics in LQC Talk at Loops '17 Conf.
- Authors
- Wilson-Ewing, E.
- Affiliations
- University of New Brunswick (CA)
- Corresponding author
- Wilson-Ewing, Edward
- ORCID
- Wilson-Ewing, Edward
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2018-02-12
- Volume
- 35
- Issue
- 6
- Pages
- 065005
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2772134164
- Semantic Scholar
- cfc01fc8dacc3945b21902111d1e2a93fa40f622
- Cited by
- 48
- References
- 71
- Citations by year
- 2026: 3 · 2025: 5 · 2024: 2 · 2023: 4 · 2022: 6 · 2021: 6 · 2020: 5 · 2019: 12 · 2018: 5
- FWCI
- 3.57
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- loop quantum cosmology, bounce cosmology, Bianchi type I cosmology, Bianchi type IX, massless scalar field, Hamiltonian constraint, quantum gravity, anisotropic cosmology
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