Quantum mechanics in the tunneling universe

Physics

Scientific paper

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Scientific paper

We discuss the particle creation in a closed homogeneous and isotropic universe with positive cosmological constant, which tunnels from the Friedmann regime (or from ``nothing'') to a De Sitter-like one. Assuming the quasiclassical character of tunneling and neglecting the back reaction of the created particles, we derive the basic equation of the quantum field theory in the tunneling universe. We then show that during tunneling, particle creation is catastrophic, at least in the model of massive scalar fields conformally coupled to gravity, and discuss the possible effects of the back reaction on the tunneling process.

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