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Local observation in eternal inflation.

James Hartle1, S W Hawking, Thomas Hertog

  • 1Department of Physics, University of California, Santa Barbara, California 93106, USA.

Physical Review Letters
|May 13, 2011
PubMed
Summary

The no-boundary wave function aids in predicting cosmological observations within eternal inflation models. It suggests a tensor-to-scalar ratio of approximately 10% for local universe predictions.

Area of Science:

  • Cosmology
  • Theoretical Physics
  • Quantum Gravity

Background:

  • Eternal inflation models propose vast multiverses with varying physical laws.
  • The landscape of string theory suggests numerous possible vacuum states.
  • Predicting observable quantities in such models remains a significant challenge.

Purpose of the Study:

  • To utilize the no-boundary wave function to calculate cosmological predictions within landscape models.
  • To investigate the impact of eternal inflation on observable homogeneity.
  • To establish a measure for local cosmological observations.

Main Methods:

  • Employing the no-boundary wave function formalism.
  • Analyzing landscape models with multiple eternal inflation regions.

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  • Calculating fluctuations within the past light cone.
  • Main Results:

    • Small departures from homogeneity can be calculated despite large super-horizon fluctuations.
    • The dominant contribution arises from histories exiting inflation at the lowest potential value.
    • A tensor-to-scalar ratio of approximately 10% is predicted for a class of models.

    Conclusions:

    • The no-boundary wave function provides a method for predicting local cosmological observations.
    • This approach offers a way to constrain landscape models through observational data.
    • The predicted tensor-to-scalar ratio offers a testable prediction for future observations.