  Recently, Falomir, Gamboa, Mendez, Gondolo and Maldonado proposed a
bicosmology scenario [1-4] for solving some cosmological problems related to
inflation, dark matter, and thermal history of the universe. Their plan is to
introduce noncommutativity into the momentum space of the two scale factors. In
the present paper, we revisit their model and first consider exact classical
solutions in the model with constant noncommutativity between dynamical
variables and between canonical momenta. We also hypothesize that the
noncommutativity appears when the scale factors are small, and show the
behavior of the classical solution in that case with momentum-space
noncommutativity. Finally, we write down the Wheeler-DeWitt equation in that
case and examine the behavior of the solution.
