  The acceleration of the expansion of the universe arises from unknown
physical processes involving either new fields in high energy physics or
modifications of gravitation theory. It is crucial for our understanding to
characterize the properties of the dark energy or gravity through cosmological
observations and compare and distinguish between them. In fact, close
consistencies exist between a dark energy equation of state function w(z) and
changes to the framework of the Friedmann cosmological equations as well as
direct spacetime geometry quantities involving the acceleration, such as
``geometric dark energy'' from the Ricci scalar. We investigate these
interrelationships, including for the case of superacceleration or phantom
energy where the fate of the universe may be more gentle than the Big Rip.
