  If there is Lorentz symmetry violation in the $t$ quark sector of the
standard model, changes to particles' dispersion relations might allow for the
existence of stable top-flavored hadrons. Observations of the survival of
high-energy $\gamma$-rays over astrophysical distances can be used to place
one-sided constraints on certain linear combinations of Lorentz violation
coefficients in the $t$ sector at the $\sim 10^{-4}$ level of precision.
