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Perfect Quantum Cosmological Bounce.

Steffen Gielen1, Neil Turok2

  • 1Theoretical Physics, Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom.

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This study explores quantum cosmology using conformal matter, revealing a "perfect bounce" where the universe smoothly transitions through singularities. This quantum mechanical evolution offers a new perspective on cosmic origins.

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Area of Science:

  • Theoretical Physics
  • Cosmology
  • Quantum Gravity

Background:

  • Investigating the early universe and its origins is a fundamental challenge in cosmology.
  • Understanding the behavior of matter and fields near the Big Bang singularity requires a quantum gravity approach.

Purpose of the Study:

  • To explore quantum cosmological models with conformal matter.
  • To analyze the evolution of homogeneous, isotropic, and anisotropic universes through singularities.
  • To provide a unitary description of quantum mechanical evolution across a cosmological bounce.

Main Methods:

  • Exact quantum gravity path integral on minisuperspace for homogeneous, isotropic backgrounds.
  • Extension to exact treatment of spatially flat, anisotropic universes.
  • Analysis of inhomogeneous, anisotropic perturbations at linear and nonlinear orders.

Main Results:

  • Demonstration of a
  • perfect bounce
  • where the universe smoothly traverses the singularity.
  • Exact quantum evolution for homogeneous and isotropic cosmologies.
  • Evidence for a semiclassical description involving complex classical paths around the singularity.

Conclusions:

  • The conformal matter model provides a natural and unitary quantum mechanical description of cosmic evolution across a bounce.
  • The universe smoothly avoids the singularity through quantum effects.
  • A semiclassical picture emerges where fields navigate around the singularity via complex paths.