  We perform a minisuperspace analysis of an information-theoretic nonlinear
Wheeler-deWitt (WDW) equation for de Sitter universes. The nonlinear WDW
equation, which is in the form of a difference-differential equation, is
transformed into a pure difference equation for the probability density by
using the current conservation constraint. In the present study we observe some
new features not seen in our previous approximate investigation, such as a
nonzero minimum and maximum allowable size to the quantum universe: An
examination of the effective classical dynamics supports the interpretation of
a bouncing universe. The studied model suggests implications for the early
universe, and plausibly also for the future of an ongoing accelerating phase of
the universe.
