We use an alternative interpretation of quantum mechanics, based on the
Bohmian trajectory approach, and show that the quantum effects can be included
in the classical equation of motion via a conformal transformation on the
background metric. We apply this method to the Robertson-Walker metric to
derive a modified version of Friedmann's equations for a Universe consisting of
scalar, spin-zero, massive particles. These modified equations include
additional terms that result from the non-local nature of matter and appear as
an acceleration in the expansion of the Universe. We see that the same effect
may also be present in the case of an inhomogeneous expansion.Comment: Accepted for publication in Ap
