  According to classical GR, Anti-de Sitter (AdS) bubbles in the multiverse
terminate in big crunch singularities. It has been conjectured, however, that
the fundamental theory may resolve these singularities and replace them by
nonsingular bounces. This may have important implications for the beginning of
the multiverse. Geodesics in cosmological spacetimes are known to be
past-incomplete, as long as the average expansion rate along the geodesic is
positive, but it is not clear that the latter condition is satisfied if the
geodesic repeatedly passes through crunching AdS bubbles. We investigate this
issue in a simple multiverse model, where the spacetime consists of a patchwork
of FRW regions. The conclusion is that the spacetime is still past-incomplete,
even in the presence of AdS bounces.
