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Damped Perturbations in the No-Boundary State.

J Diaz Dorronsoro1, J J Halliwell2, J B Hartle3

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We precisely evaluated the no-boundary path integral in a specific cosmological model. This approach confirms predictions of the original semiclassical no-boundary proposal, showing large perturbations are damped.

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Area of Science:

  • Cosmology
  • Quantum Gravity
  • Theoretical Physics

Background:

  • The no-boundary proposal offers a potential solution to the initial singularity problem in cosmology.
  • Bianchi type IX minisuperspace models provide a framework for studying early universe dynamics.

Purpose of the Study:

  • To exactly evaluate the no-boundary path integral in a Bianchi type IX minisuperspace with two scale factors.
  • To investigate the role of nonlinear perturbations and regularity conditions in implementing the no-boundary proposal.

Main Methods:

  • Exact evaluation of the no-boundary path integral.
  • Implementation of the proposal via specific initial conditions for scale factors and their conjugate momenta.
  • Inclusion of nonlinear backreaction from perturbations.

Main Results:

  • The study successfully implemented the no-boundary proposal within the chosen minisuperspace model.
  • Predictions of the original semiclassical no-boundary proposal were recovered.
  • Large perturbations were found to be strongly damped, aligning with vacuum state wave function characteristics.

Conclusions:

  • The no-boundary path integral can be exactly evaluated in complex cosmological models.
  • The findings support the validity and predictive power of the no-boundary proposal for the early universe.