
arXiv: 0805.4294
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
High Energy Physics - Theory, nonlinear Wheeler-deWitt equation, Quantum Physics, Information theory, quantum cosmology, 500, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Quantum cosmology, 530, General Relativity and Quantum Cosmology, singularity avoidance, High Energy Physics - Theory (hep-th), Singularity avoidance, Nonlinear Wheeler-deWitt equation, Quantization of the gravitational field, Quantum Physics (quant-ph), Relativistic cosmology, information theory
High Energy Physics - Theory, nonlinear Wheeler-deWitt equation, Quantum Physics, Information theory, quantum cosmology, 500, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Quantum cosmology, 530, General Relativity and Quantum Cosmology, singularity avoidance, High Energy Physics - Theory (hep-th), Singularity avoidance, Nonlinear Wheeler-deWitt equation, Quantization of the gravitational field, Quantum Physics (quant-ph), Relativistic cosmology, information theory
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