Empirical evidence suggests that people naïvely represent time as dynamical (i.e. as containing robust temporal passage). Yet many contemporary B-theorists deny that it seems to us, in perceptual experience, as though time robustly passes. The question then arises as to why we represent time as dynamical if we do not have perceptual experiences which represent time as dynamical. We consider two hypotheses about why this might be: the temporally aperspectival replacement hypothesis and the moving open future hypothesis. We then empirically (...) test the moving open future hypothesis. According to that hypothesis, we represent the past as objectively fixed and the future open. And we represent that this objective openness moves as events that were open become fixed, such that in doing so, we represent a privileged moving present. We found no evidence for the moving open future hypothesis, which suggests that further investigation of the temporally aperspectival replacement hypothesis is called for. Our results also shed further light on our understanding of the respects in which we represent the future to be open, which, in turn, has implications for our theorising about the open future. (shrink)