It was shown recently that replacing classical geodesics 
  with quantal (Bohmian) trajectories gives rise to a
  quantum corrected Raychaudhuri equation (QRE). In this 
  article we derive the second order Friedmann equations
  from the QRE, and show that this also contains a couple
  of quantum correction terms, the first of which can be
  interpreted as cosmological constant (and gives a correct
  estimate of its observed value), while the second as a
  radiation term in the early universe, which gets rid of
  the big-bang singularity and predicts an infinite age of
  our universe. [1]