  We study chaotic size dependence of the low temperature correlations in the
SK spin glass. We prove that as temperature scales to zero with volume, for any
typical coupling realization, the correlations cycle through every spin
configuration in every fixed observation window. This cannot happen in
short-ranged models as there it would mean that every spin configuration is an
infinite-volume ground state. Its occurrence in the SK model means that the
commonly used `modified clustering' notion of states sheds little light on the
RSB solution of SK, and conversely, the RSB solution sheds little light on the
thermodynamic structure of EA models.
