 A stochastic theory, such as a dynamical collapse theory, must involve correlations between spacelike separated events. A relation like that, however, is symmetric, and does not require that one of the events be in the past of the other. There is no prima facie need for nonrelativistic spacetime structure. Indeed, it is possible to formulate a fully relativistic dynamical collapse theory. A relativistic generalization of the Ghirardi-Rimini-Weber (GRW) theory was constructed by Dove (1996) and, independently, by Tumulka (2006). Relativistic versions of the Continuous Spontaneous Localization (CSL) theory have been constructed by Bedingham (2011) and Pearle (2015). For discussions of ontology for such theories, required to extract from them a sensible account of a world that includes macroscopic objects, see Pearle (1997), Bedingham et al. (2014), and Myrvold (2019). 