 Clearly, a world with a space invader does fail to be deterministic. Before t = t*, there was nothing in the state of things to enable the prediction of the appearance of the invader at t = t*  +.[2]  One might think that the infinity of space is to blame for this strange behavior, but this is not obviously correct. In finite, “rolled-up” or cylindrical versions of Newtonian space-time space-invader trajectories can be constructed, though whether a “reasonable” mechanism to power them exists is not  clear.[3]