A.C.D. van Enter and H.G. Schaap Infinitely many states and stochastic symmetry in a Gaussian Potts-Hopfield model (43K, latex) ABSTRACT. We study a Gaussian Potts-Hopfield model. Whereas for Ising spins and two disorder variables per site the chaotic pair scenario is realized, we find that for q-state Potts spins [{q(q-1 \over 2}]-tuples occur. Beyond the breaking of a continous stochastic symmetry, we study the fluctuations and obtain the Newman-Stein metastate description for our model.