Tamminen
I am not sure if you understood what I tried to say. I am speaking of subjective time and its phenomenology. It has nothing to do with measuring or classifying, and it really has the phenomenological structure of "the lived anticipation of the future from the past", as you say. In spite of this, we have our next moment, next presence, and if there is no next presence, time ends. It is our existential situation, and something else than saying that the world goes on without us. Internal and external descriptions of existence are perhaps incompatible, but I think the same way as you seem to think, that the way science describes reality is in the end secondary and has little to do with what really matters.
But I was responding to your "time can be experienced as the eternal present, but nevertheless there is always the next present, and the next". The way i see it, it if the notions of 'next, and the next after that" are part of conscious experience of the world, it is not the eternal present, for it is the very nature of finitude to divide like this. One could counter that such a concept of eternal present is inherently impossible and unachievable since it precludes having any kind of experience at all, and I wold have to agree with this. Nonetheless, taking up the world and "suspending"
most of what the makes time, time by suspending thoughts about the mail coming, a meeting tonight, getting gas for the car, and so on, and attending only to, say, your breathe, as in kriya yoga, reveals, the more it is practiced and the more everyday concerns are dropped, something of a genuine timelessness. The next, and the next after fall away because these are simply suspended, and a qualitative change occurs in the depth of subjectivity.
Of course, you can observe this affair from the outside, as we are just talking about it,and say, this kind of thing can still be measured in temporal units of some kind, but that would be from the outside looking in. From the inside, where time is "forgotten" time is absent, as it is in the mind of an infant at the mother's breast, though in this case, quite without conscious awareness all.
I think time falls away when we are not qualifying the world with time words and practical contexts. Will I be on time; what time does the bus arrive; and so on. I think these concepts ARE time, the concept. And when Einstein talked about space/time it was a vocabulary of terms with pragmatic value that he was "really" talking about.