  Heating induced by the noise postulated in wave function collapse models
leads to a lower bound to the temperature of solid objects. For the noise
parameter values $\lambda ={\rm coupling~strength}\sim 10^{-8} {\rm s}^{-1}$
and $r_C ={\rm correlation~length} \sim 10^{-5} {\rm cm}$, which were suggested
\cite{adler1} to make latent image formation an indicator of wave function
collapse and which are consistent with the recent experiment of Vinante et al.
\cite{vin}, the effect may be observable. For metals, where the heat
conductivity is proportional to the temperature at low temperatures, the lower
bound (specifically for RRR=30 copper) is $\sim 5\times 10^{-11} (L/r_C) $K,
with L the size of the object. For the thermal insulator Torlon 4203, the
comparable lower bound is $\sim 3 \times 10^{-6} (L/r_c)^{0.63}$ K. We first
give a rough estimate for a cubical metal solid, and then give an exact
solution of the heat transfer problem for a sphere.
