  We show that harmonically trapped Bose-Einstein condensates can be used to
constrain Planck scale physics. In particular we prove that a Planck-scale
induced deformation of the Minkowski energy-momentum dispersion relation
$\delta E \simeq \xi_1 mcp/2M_p$ produces a shift in the condensation
temperature $T_c$ of about $\Delta T_{c}/T_{c}^{0} \simeq 10^{-6} \xi_1 $ for
typical laboratory conditions. Such a shift allows to bound the deformation
parameter up to $|\xi_1| \lesssim 10^4$. Moreover we show that it is possible
to enlarge $\Delta T_{c}/T_{c}^{0}$ and improve the bound on $\xi_1$ lowering
the frequency of the harmonic trap. Finally we compare the Planck-scale induced
shift in $T_c$ with similar effects due to interboson interactions and finite
size effects.
