How the human brain represents time and space is essential to understand the conscious mind. When moving, mapping the environment yields a topological relationship between the traveled distance and the order of events. Nonetheless, in the absence of movement, e.g. while thinking about future plans, the ordering of mental events may dissociate from their spatial dimension. In this M/EEG neuroimaging study, participants imagined themselves at different times and places (self-projection) and ordered memorized historical events from their mental standpoint. Early parametric changes of evoked responses amplitude, localized in medial temporal region, reflected past-to-future events succession while late spatial ordering evoked components were localized in parietal and frontal cortices. Overall, we report dedicated cortical signatures for the representation of conscious spatial and temporal distance and ordinality in the human brain. Crucially, the directionality of the psychological time arrow relies on neural mechanisms that are fundamentally dissociable from spatial directionalities.