[Question] What is the foundation of me experiencing the present moment being right now and not at some other point in time?

This question may be either trivial to answer and I just don‘t get it, or it may be highly controversial. I am trying to pose my problem as shortly as I can.

What is responsible for my subjective experience of the present moment (or rather, the immediate past, taking information processing into account)? Why is now actually now?

Under the premise of spacetime being a static and eternal thing, doesn‘t any line of thought trying to answer this question necessarily make any intuitive notions of identity and the passing of time illusionary?

The only answer that I can come up with is that every conscious moment exists, despite any causal connections, for itself in some eternal sense. In this sense, „I“ right now am just existent at some specific point in spacetime, and before and after that there are, with regard to consiousness, separated and slightly different „mes“ which just happen to be in the closest proximity possible to the „me“ in that moment. Is there any more intuitive way of thinking about this?

Probably relates to timeless physics and quantum immortality.