  We revisit a mechanism proposed by Hawking to resolve the cosmological
constant problem (and the controversy it generated) to identify possibly more
palatable alternatives and explore new connections and interpretations. In
particular, through the introduction of a new action coupling the four-form
field strength $F = dA$ to the cosmological constant via a dynamical field
$\lambda (x)$, a novel Baum-Hawking-Coleman type mechanism is presented. This
mechanism can be seen as a generalisation of Unimodular Gravity. A theory with
a similar coupling to "$F^2$" is also presented, with promising results. We
show how in such theories the 3-form is closely related to the Chern-Simons
density, and its associated definition of time. On the interpretational front,
we propose a method avoiding the standard Euclidean action prescription, which
makes use of Vilenkin's probability flux.
