I recently came across the paper Relation between the psychological and thermodynamic arrows of time (arXiv).
Their argument makes sense to me, however their concept doesn't seem to address what 'now' is.
If each person exists in an unchanging state in the block universe, and the flow of time is an illusion caused by the way memory functions, then how exactly does this illusory sensation of 'now' work? Are there an infinite number of me's at every point in time, all experiencing their own now? Or is there one me that 'travels' though the block universe, experiencing the illusion of time? And what is it that is experiencing this illusion of movement?