  We discuss how quantum geometrodynamics, a conservative approach to quantum
gravity, might explain the emergence of classical spacetime and, with it, the
emergence of classical time and its arrow from the universal quantum state.
This follows from a particular but reasonable choice of boundary condition
motivated by the structure of the Hamiltonian of the theory. This condition can
also be seen as defining a quantum version of Penrose's Weyl curvature
hypothesis. We comment on the relation of this picture to the `past hypothesis'
and the different observed arrows of time, and we consider how quantum
geometrodynamics could serve as a unifying and more fundamental framework to
explain these observations.
