  We explore the description of bulk causal structure in a dual field theory.
We observe that in the spacetime dual to a spacelike non-commutative field
theory, the causal structure in the boundary directions is modified
asymptotically. We propose that this modification is described in the dual
theory by a modification of the micro-causal light cone. Previous studies of
this micro-causal light cone for spacelike non-commutativite field theories
agree with the expectations from the bulk spacetime. We describe the spacetime
dual to field theories with lightlike non-commutativity, and show that they
generically have a drastic modification of the light cone in the bulk: the
spacetime is non-distinguishing. This means that the spacetime while being
devoid of closed timelike or null curves, has causal curves that are ``almost
closed''. We go on to show that the micro-causal light cone in the field theory
agrees with this prediction from the bulk.
