Time arrow is influenced by the dark energy
  The arrow of time and the accelerated expansion are two fundamental empirical
facts of the Universe. We advance the viewpoint that the dark energy (positive
cosmological constant) accelerating the expansion of the Universe also supports
the time asymmetry. It is related to the decay of meta-stable states under
generic perturbations, as we show on example of a microcanonical ensemble.
These states will not be meta-stable without dark energy. The latter also
ensures a hyperbolic motion leading to dynamic entropy production with the rate
determined by the cosmological constant.
