Scalar Field Cosmology II: Superfluidity and Quantum Turbulence

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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28 pages, 7 figures, typos corrected, references added

Scientific paper

We generalize the big-bang model in a previous paper by extending the real vacuum scalar field to a complex vacuum scalar field, in the context of Einstein's equation with Robertson-Walker metric. From the phase dynamics of the complex scalar field emerges superfluidity, vorticity, and quantum turbulence, which corresponds to a fractal vortex tangle. We propose that such a tangle fills the early universe, in which matter was created through the reconnection of vortex lines, a process necessary for its maintenance. This is implemented in a set of closed cosmological equations that describes the cosmic expansion driven by the scalar field on the one hand, and the vortex-matter dynamics on the other. We show how these two aspects decouple from each other, due to a vast difference in energy scales. In this model, the lifetime of the vortex tangle gives a reasonable quantitative account of the era of cosmic inflation. The model is not valid beyond the inflation era, but has qualitative predictions for the later universe on the basis of superfluidity and vorticity. These include the galactic voids, "dark mass", "non-thermal filaments", and cosmic jets.

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