  We describe an analog model for quantum gravity effects in condensed matter
physics. The situation discussed is that of phonons propagating in a fluid with
a random velocity wave equation. We consider that there are random fluctuations
in the reciprocal of the bulk modulus of the system and study free phonons in
the presence of Gaussian colored noise with zero mean. We show that in this
model, after performing the random averages over the noise function a free
conventional scalar quantum field theory describing free phonons becomes a
self-interacting model.
