  Inflation allows the problem of the Arrow of time to be understood as a
question about the structure of spacetime: why was the intrinsic curvature of
the earliest spatial sections so much better behaved than it might have been?
This is really just the complement of a more familiar problem: what mechanism
prevents the extrinsic curvature of the earliest spatial sections from
diverging, as classical General Relativity suggests? We argue that the stringy
version of "creation from nothing", sketched by Ooguri, Vafa, and Verlinde,
solves both of these problems at once. The argument, while very simple, hinges
on some of the deepest theorems in global differential geometry. These results
imply that when a spatially toral spacetime is created from nothing, the
earliest spatial sections are forced to be [quasi-classically] exactly locally
isotropic. This local isotropy, in turn, forces the inflaton into its
minimal-entropy state. The theory explains why the Arrow does not reverse in
black holes or in a cosmic contraction, if any.
