  I introduce a modification of the Ghirardi-Rimini-Weber (GRW) model in which
the flashes (or collapse space-time events) source a classical gravitational
field. The resulting semi-classical theory of Newtonian gravity preserves the
statistical interpretation of quantum states of matter in contrast with mean
field approaches. It can be seen as a discrete version of recent proposals of
consistent hybrid quantum classical theories. The model is in agreement with
known experimental data and introduces new falsifiable predictions: (1) single
particles do not self-interact, (2) the $1/r$ gravitational potential of
Newtonian gravity is cut-off at short ($\lesssim 10^{-7}$m) distances, and (3)
gravity makes spatial superpositions decohere at a rate inversely proportional
to that coming from the vanilla GRW model. Together, the last two predictions
make the model experimentally falsifiable for \emph{all} values of its
parameters.

Quantum Physics;General Relativity and Quantum Cosmology