  Current observations of the fraction of dark energy and a lower limit on its
tension, coupled with an assumption of the non-convexity of the dark energy
potential, are used to derive a lower limit of 26 billion years for the future
age of the universe. Conversely, our ordered observations, coupled with an
assumption that observers are smaller than the universe, are used to argue for
an upper limit of about e^10^50 years if the universe eventually undergoes
power-law expansion, and an upper limit of only about 10^60 years left for our
universe if it continues to expand exponentially at the current rate.
