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Wave functions specifying a quantum state of the universe must satisfy the constraints of general
relativity, in particular the WheelerDeWitt equation (WDWE).We show for a wide class of models
with nonzero cosmological constant that solutions of the WDWE exhibit a universal semiclassical
asymptotic structure for large spatial volumes. A consequence of this asymptotic structure is that
a wave function in a gravitational theory with a negative cosmological constant can predict an
ensemble of asymptotically classical histories which expand with a positive eective cosmological
constant. This raises the possibility that even fundamental theories with a negative cosmological
constant can be consistent with our lowenergy observations of a classical, accelerating universe.
We illustrate this general framework with the specic example of the noboundary wave function
in its holographic form. The implications of these results for model building in string cosmology
are discussed.
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