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We present a general master equation for the quantum dynamics of a scalarbosonic particle interacting with an external weak and stochastic gravitationalfield. The dynamics predicts decoherence in position as well as in momentum. Weshow how the master equation reproduces the results present in the literatureby taking appropriate limits, thus explaining the apparent contradiction intheir dynamical description. We apply our model to a matter wave experiment,providing a practical formula for determining of the magnitude of gravitationaldecoherence. We compare it with the standard experimental sources ofdecoherence.

On the decoherence effect of a stochastic gravitational perturbation on scalar matter and the possibility of its interferometric detection