Reincarnation: The Paradox

There's no secret in denying it: Reincarnations, which would include an afterlife, are  paradoxical in nature. Let us consider one such instance. Someone lives for half a thousand years. Every century, that person becomes reincarnated. And for every time he becomes reincarnated, a new century is hailed in, at the same exact moment. Now, something like this could also happen with years; In which the occurrence happens every new year. Back to the original example. In this example, it could be either the beginning of each century, or perhaps the end of it. No matter which it is, during that time, people might consider that all things are becoming new again, (regardless of whether that is really the case). For some strange reason, this kind of phenomenon in particular seems very perplexing to me. Or, at least to the person that is actually doing the reincarnation. Each time His life begins, (starts over) , is also the time when essentially time is ending for everyone else (they are entering a new phase of time). Or, in this particular case, an entire era is ending. The reason I thought about this is that, something compelled me to. Maybe it is the fact that for me, everything started... on the last day. And this thought I just explained about is so compelling, once you were to ponder this, because it's as if the individual's life never actually starts! For the individual himself, it is a century that is just starting. And yet, for everyone else, he might as well have never lived at all. We will, just for the sake of the story, assume that this individual is aware of such things because he has managed to somehow keep all of the knowledge which he has learned throughout his past lives. Who's life was essentially (not literally) short ended by the new century. And once we put ourselves into the mind of this kind of person, we might start getting a new perception on what life means. Or what it means when one were to think about the concept of time. Time might as well be a continuum. Not how we usually think about it. Usually, time is ordered in specific ways. For example, we view time in units. One moment comes, while another moment goes. However, for each individual out there, he or she might have their own perception of time. Just like if one were to ask, is my indigo the same as your indigo?  Likewise, we might also be wondering, is my perception of a second the same as your second? That is perhaps arguable.
So, does time keep ending and beginning, or pausing, every time a new slice of time passes us by? There is no single, satisfactory answer. It just all depends on who one happens to ask.
As a matter of fact, the perception of time is not necessarily always consistent throughout our lives. Drugs have been known to have such influences on people.  And besides the effects that people experience from certain kinds of drugs, time perception still can, on some rare occasions, change dramatically. Once we put ourselves out into a survival situation, for example, we will then be able to experience these effects. That is, if we were to isolate ourselves in the wild for prolonged periods of time.