  A violation of the equivalence principle (VEP) in the Kaon system can, in
principle, induce oscillations between $K^\circ$ and $\overline{K^\circ}$ in a
manner that need not violate CPT conservation. We show that such a
CPT-conserved VEP mechanism could be clearly tested experimentally through the
energy dependence of the $K_L-K_S$ mass difference and discuss constraints
imposed by present experiments.
