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Which universes does the no-boundary wave function favour?

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I will provide an introduction to the no-boundary wave function, and review its implementation in simple inflationary models. Earlier treatments indicated that the no-boundary wave function would favour very short inflationary phases, in strong tension with observations. Recent investigations have shown the need for a more careful definition, especially with regards to the question of which metrics and field configurations should be summed over in gravitational path integrals. This leads both to a deeper understanding of gravitational path integrals, and to the consequence that, under certain circumstances, long inflationary phases are required. I will discuss the implications for observational predictions, in particular for the size of the universe, and I will comment on the relation to string theory.

This talk is part of the Cosmology Lunch series.

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