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We use an alternative interpretation of quantum mechanics, based on theBohmian trajectory approach, and show that the quantum effects can be includedin the classical equation of motion via a conformal transformation on thebackground metric. We apply this method to the Robertson-Walker metric toderive a modified version of Friedmann's equations for a Universe consisting ofscalar, spin-zero, massive particles. These modified equations includeadditional terms that result from the non-local nature of matter and appear asan acceleration in the expansion of the Universe. We see that the same effectmay also be present in the case of an inhomogeneous expansion.

Modified Friedmann equations via conformal Bohm -- De Broglie gravity