OK-this is a huge question with many possible replies. Is it simply directional as physical phenomena suggests? No. I doubt if anyone believes that as we can visualise past experience through memory and constructs of knowledge.
In another related question, I pointed out how religions employ the past to insinuate universal authenticity-the Mormons recruit everyone after death, Islam recruits real or imagined religious figures to insinuate its relationship to infinity, Christianity, after its prophets death, recruited YHWH for the same or similar purposes. He might have been limited in time, but not his time in infinity.
But there are so other understandings and metaphors of time: subject entirely to physical phenomena through the Big Bang: connected to autobiographical memory through external events and affect (Freud).