That's a view that philosophers call
Presentism.
https://en.wikipedia.org/wiki/Philosophical_presentism
While
my considered position is that I don't have a clue what time is, in some of my moods I do lean towards Presentism. (In other moods I lean towards a
Block Universe or a
Growing Block model.)
https://en.wikipedia.org/wiki/Eternalism_(philosophy_of_time) [...]
Presentism can be treated as the case in the experienced version of the world. With eternalism applying to the inferred world of scientific realism and the "independent of all experience and reasoning" slash "mind-less" world celebrated in materialist or physicalist metaphysics; with the roots of both going back to the ancient
Eleatic School.
A crude analogy for presentism might be the
ancient Flat Earth beliefs, where the subjective appearances were likewise treated as valid or objective. (However, it's not clear that the
Spherical Earth model itself really had substantive arguments and observational experiments giving birth to it and supporting it in the beginning until it had already acquired a significant following by the 3rd century B.C.)
Considering that subatomic events would need "nows" ranging down to a yoctosecond while the "nows" of human perception or conscious events are milliseconds long giants in comparison... Presentism thereby seems completely unconcerned about such conflicts or inconsistencies in regard to establishing what its global or universal "now" should be. (The latter supposedly being the extent of what exists, is real, or however that philosophical stance is trying to make the whole cosmos as ephemeral and superficial as possible before it gets annihilated by the next replacement moment).
The "now" of human cognition often seems to be what is reflexively objectified without critical examination. But even if subatomic changes (differences) are treated instead as the standard, that bloated in comparison interval of the conscious human "present" then does not "fit" into one of those bogglingly lesser durations.
The growing block-universe (which Sean Carroll alternatively calls "possibilism") seems to similarly suffer from a magical conjuring act, where that process (conducted by what?) adds another "page" to the static hypersolid block of the past via apparently extracting new "stuff" from nothing.
Again, though, the drawbacks of presentism arguably pertain to that inferred metempirical, archetypal, invisible version of the world. Whereas there is hopefully compatibility with the manifested, everyday version which the brain / nervous system and environmental energies (photons, atmospheric vibrations, molecules entering the nose, etc) receives credit and blame for, as far its own "internal explanatory story" goes. (Or at least, we seem to heavily desire that compatibility between experience and presentism.)
~