  As shown by Parker and Raval, quantum field theory in curved spacetime gives
a possible mechanism for explaining the observed recent acceleration of the
universe. This mechanism, which differs in its dynamics from quintessence
models, causes the universe to make a transition to an accelerating expansion
in which the scalar curvature, R, of spacetime remains constant. This
transition occurs despite the fact that we set the renormalized cosmological
constant to zero. We show that this model agrees very well with the current
observed type-Ia supernova (SNe-Ia) data. There are no free parameters in this
fit, as the relevant observables are determined independently by means of the
current cosmic microwave background radiation (CMBR) data. We also give the
predicted curves for number count tests and for the ratio, w(z), of the dark
energy pressure to its density, as well as for dw(z)/dz versus w(z). These
curves differ significantly from those obtained from a cosmological constant,
and will be tested by planned future observations.
