  We re-examine the Hartle-Hawking wave function from the point of view of a
quantum theory which starts from the connection representation and allows for
off-shell non-constancy of $\Lambda$ (as in unimodular theory), with a
concomitant dual relational time variable. By translating its structures to the
metric representation we find a non-trivial inner product rendering wave
packets of Hartle-Hawking waves normalizable and the time evolution unitary;
however, the implied probability measure differs significantly from the naive
$|\psi|^2$. In contrast with the (monochromatic) Hartle-Hawking wave function,
these packets form travelling waves with a probability peak describing de
Sitter space, except near the bounce, where the incident and reflected waves
interfere, transiently recreating the usual standing wave. Away from the bounce
the packets get sharper both in metric and connection space, an apparent
contradiction with Heisenberg's principle allowed by the fact that the metric
is not Hermitian, even though its eigenvalues are real. Near the bounce, the
evanescent wave not only penetrates into the classically forbidden region but
also extends into the $a^2<0$ Euclidean domain. We work out the propagators for
this theory and relate them to the standard ones. The $a=0$ point (aka the
"nothing") is unremarkable, and in any case a wave function peaked therein is
typically non-normalizable and/or implies a nonsensical probability for
$\Lambda$ (which the Universe would preserve forever). Within this theory it
makes more sense to adopt a Gaussian state in an appropriate function of
$\Lambda$, and use the probability associated with the evanescent wave present
near the time of the bounce as a measure of the likelihood of creation of a
pair of time-symmetric semiclassical Universes.
