Abstract. We study some gravitational instanton solutions that offer a natural realization of the spontaneous creation of inflationary universes in the brane world context in string theory. Decoherence due to couplings of higher (perturbative) modes of the metric as well as matter fields modifies the Hartle-Hawking wavefunction for de Sitter space. Generalizing this new wavefunction to be used in string theory, we propose a principle in string theory that hopefully will lead us to the particular vacuum we live in, thus avoiding the anthropic principle. As an illustration of this idea, we give a phenomenological analysis of the probability of quantum tunneling to various stringy vacua. We find that the preferred tunneling is to an inflationary universe (like our early universe), not to a universe with a very small cosmological constant (i.e., like today's universe) and not to a 10-dimensional (or a higher dimensional supercritical) uncompactified de Sitter universe. Some solutions are interesting as they offer a cosmological mechanism for the stabilization of extra dimensions during the inflationary epoch.

Key words: D-branes; Superstring Vacua; Models of Quantum Gravity

Received 16 July 2004, accepted for publication 27 September 2004
Published 16 November 2004