Now here is the issue I have with that. If this is the case, what exactly dictates the moment that we are experiencing presently. Technically speaking, if all the moments are equally real and constant, then all of the events must also be unchanging. Why are we experiencing the moments we are experiencing, in the order we are experiencing them? Logically thinking, it appears abstract that without there being anything to assert the order in which we experience things, we should still somehow experience them in a manner that makes sense.
Some years ago (bad way to begin a comment about time, I suppose) I read "The End of Time" by Julian Barbour, most of which was utterly incomprehensible to me (I have no background in physics or math). But, the little that managed to penetrate my thick brain was really fascinating.
As I recall, Barbour posited a universe of eternal, static moments, sort of like individual frames in a movie reel. As Barbour conceived them, each moment is something of a "time capsule", containing references or links to what we perceive as "earlier" moments, but not to "later" ones. In my 3:00 PM time capsule/moment, for example, there are references to what I ate for lunch at noon, but not to what I will have for dinner. My 8:00 P.M. time capsule/moment will presumably have links to both (and, hopefully, to a single malt as well), but not to tomorrow's drive to work. The architecture of these time capsule/moments is thus something like a hierarchical database, in which "future" time capsule/moments are like higher order (i.e., longer) keys or search arguments, capable of pulling up more data than lower order arguments, analogous to "earlier" time capsule/moments.
I think that, in Barbour's view, we are experiencing all of the moments of our lives simultaneously and eternally. I am now and always, for example, being born, entering kindergarten, losing my virginity, watching my son take his first steps, entering my dotage, and dying. The "flow" of time -- our sense that events are happening/have happened in a certain order -- is entirely a consequence of the one-way "time capsule" links in each static moment. And, the sense each of us has of "now" experiencing only a particular moment is an illusion under which each fragment of his or her consciousness in every one of these moments labors.
I've probably done great disservice to Barbour, for which I apologize.