  It has been suggested that the York parameter $T$ (effectively the scalar
extrinsic curvature of a spatial hypersurface) may play the role of a
fundamental time parameter. In a flat, forever expanding cosmology the York
parameter remains always negative, taking values $T=-\infty$ at the big bang
and approaching some finite non-positive value as $t\rightarrow\infty$, $t$
being the usual cosmological time coordinate. Based on previous results
concerning a simple, spatially flat cosmological model with a scalar field, we
provide a temporal extension of this model to include `times' $T>0$, an epoch
not covered by the cosmological time coordinate $t$, and discuss the dynamics
of this `other side' and its significance. We argue that the extension is
necessary if a consistent quantisation scheme is to exist. Furthermore, we
investigate which types of potentials lead to smooth transitions, paying
particular attention to currently favoured inflaton potentials.
