  Considering the existence of nonconformal stochastic fluctuations in the
metric tensor a generalized uncertainty principle and a deformed dispersion
relation (associated to the propagation of photons) are deduced. Matching our
model with the so called quantum kappa--Poincare group will allow us to deduce
that the fluctuation--dissipation theorem could be fulfilled without needing a
restoring mechanism associated with the intrinsic fluctuations of spacetime. In
other words, the loss of quantum information is related to the fact that the
spacetime symmetries are described by the quantum kappa--Poincare group, and
not by the usual Poincare symmetries. An upper bound for the free parameters of
this model will also be obtained.
