  A new bound dark energy, BDE, cosmology has been proposed where the dark
energy is the binding energy between light meson fields that condense a few
tens of years after the big bang. It is reported that the correct dark energy
density emerges using particle physics without fine tuning. This alone makes
the BDE cosmology worthy of further investigation. This work looks at the late
time BDE predictions of the evolution of cosmological parameters and the values
of fundamental constants to determine whether the cosmology's predictions are
consistent with observation. The work considers the time period between a scale
factor of 0.1 and 1.0. A model BDE cosmology is considered with current day
values of the cosmological parameters well within the observational limits. The
calculations use three different values of the current day dark energy equation
of state close to minus one. All three cases produce evolutions of the
cosmological parameters and fundamental constants consistent with the
observational constraints. Analytic relations between the BDE and cosmological
parameters are developed to insure a consistent set of parameters.
