  A number of Swampland conjectures and in particular the Trans-Planckian
Censorship Conjecture (TCC) suggest that de Sitter space is highly unstable if
it exists at all. In this paper we construct effective theories of scalars
rolling on potentials which are dual to a chain of short-lived dS spaces
decaying from one to the next through a cascade of non-perturbative nucleation
of bubbles. We find constraints on the effective potential resulting from
various swampland criteria, including TCC, Weak Gravity Conjecture and Distance
Conjecture. Surprisingly we find that TCC essentially incorporates all the
other ones, and leads to a subclass of possible dual effective potentials.
These results marginally rule out emergence of eternal inflation in the dual
effective theory. We discuss some cosmological implications of our
observations.
