As we know, many cosmologists argue that the Universe emerged out of nothing, for example Hawking-Mlodinow (Grand Design, 2010), and Lawrence Krauss, see http://www.wall.org/~aron/blog/a-universe-from-nothing/. Most of their arguments rely on conviction that the Universe emerged out of vacuum fluctuations.

While that kind of argument may sound interesting, it is too weak argument in particular from the viewpoint of Quantum Field Theory. In QFT, the quantum vaccuum is far from the classical definition of vaccuum ("nothing"), but it is an active field which consists of virtual particles. Theoretically, under special external field (such as strong laser), those virtual particles can turn to become real particle, this effect is known as Schwinger effect. See for example a dissertation by Florian Hebenstreit at http://arxiv.org/pdf/1106.5965v1.pdf.

Of course, some cosmologists argue in favor of the so-called Cosmological Schwinger effect, which essentially says that under strong gravitational field some virtual particles can be pushed to become real particles.

Therefore, if we want to put this idea of pair production into cosmological setting, we find at least two possibilities from QFT:

a. The universe may have beginning from vacuum fluctuations, but it needs very large laser or other external field to trigger the Schwinger effect. But then one can ask: Who triggered that laser in the beginning?

b. In the beginning there could be strong gravitational field which triggered Cosmological Schwinger effect. But how could it be possible because in the beginning nothing exists including large gravitational field? So it seems like a tautology.

Based on the above two considerations, it seems that the idea of Hawking-Mlodinow-Krauss that the universe emerged from nothing is very weak. What do you think?

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