Nonlinear Quantum Cosmology

Abstract

We study the effects of an information-theoretically motivated nonlinear correction to the Wheeler-deWitt equation in the minisuperspace scheme for flat, $k=0$, Friedmann-Robertson-Walker (FRW) universes. When the only matter is a cosmological constant, the nonlinearity can provide a barrier that screens the original Big Bang, leading to the quantum creation of a universe through tunneling just as in the $k=1$ case. When the matter is instead a free massless scalar field, the nonlinearity can again prevent a contracting classical universe from reaching zero size by creating a bounce. Our studies here are self-consistent to leading order in perturbation theory for the nonlinear effects.

Final Journal version: Further clarification in Introduction and Conclusion. references added. figures same as in version 1

References in corpus (7)

• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Noncommutivity and Scalar Field Cosmology
• Universality in an Information-theoretic Motivated Nonlinear Schrodinger Equation
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Cited by in corpus (2)

• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Non-linear (loop) quantum cosmology