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Loop quantum cosmology and singularities.

Ward Struyve1

  • 1Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333, München, Germany. ward.struyve@gmail.com.

Scientific Reports
|August 17, 2017
PubMed
Summary
This summary is machine-generated.

Loop quantum cosmology, a framework for quantum gravity, avoids singularities like the big bang. This study confirms that the Bohmian formulation of loop quantum cosmology eliminates these spacetime singularities.

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Area of Science:

  • Cosmology
  • Quantum Gravity
  • Theoretical Physics

Background:

  • Loop quantum gravity (LQG) is theorized to resolve spacetime singularities.
  • Loop quantum cosmology (LQC) studies simplified LQG models, suggesting singularity elimination.
  • The Bohmian formulation of LQG introduces an actual metric alongside the wave function.

Purpose of the Study:

  • To analyze singularity resolution within the Bohmian formulation of LQC.
  • To investigate whether the Bohmian LQC model avoids big bang and big crunch singularities.

Main Methods:

  • Analysis of the Bohmian formulation of LQC for a homogeneous and isotropic Friedmann-Lemaître-Robertson-Walker spacetime.
  • Inclusion of arbitrary constant spatial curvature and a cosmological constant.
  • Coupling to a massless homogeneous scalar field.

Main Results:

  • The Bohmian formulation of LQC, under the specified conditions, never yields a big bang or big crunch singularity.
  • The actual metric in this Bohmian LQC model does not become singular.
  • This contrasts with potential singularities in the Bohmian formulation of Wheeler-DeWitt theory.

Conclusions:

  • The Bohmian formulation of loop quantum cosmology successfully eliminates spacetime singularities for homogeneous and isotropic FLRW models.
  • This provides strong evidence for LQG's singularity-resolving capabilities.
  • The stochastic evolution of the actual metric prevents singularity formation.