  The effects of a Planck-scale deformation of the Minkowski energy-momentum
dispersion relation on the phenomenology of non-trapped Bose-Einstein
condensates (BECs) are examined. Such a deformation is shown to cause a shift
in the condensation temperature $T_{c}$ of the BEC and, for a specific
functional form of deformation, this shift can be as large as the current
measured precision on $T_{c}$. For a $_{37}^{85}Rb$ cold-atom BEC with a
particle density $n\simeq 10^{12}cm^{-3}$ we find a fractional shift of order
$10^{-4}$, but this can be much larger for even more dilute BECs. We discuss
the possibility of planning specific experiments with BECs that might provide
phenomenological constraints on Planck-scale physics. These corrections to
$T_{c}$ are found to be extremely small for ultrarelativistic BECs implying
that, in some cases, Planck-scale effects may be more important in low- rather
than high-energy processes.
