</font><blockquote><font class="small">In reply to:</font><hr />
There is no infinite number of cycles, which was my point in the earlier post. There is a single, closed, loop.
[/quote] But there must be an infinite number of cycles running, for there was clearly a previous cycle, for which something had to create the influence which created Valen...
...because the future of the same world unchanged could not have created Valen, for otherwise there would be no causality. Or possibly, dragging with me concepts like causality, I just occasionally stumble on serious troubles with understanding fictional possibilities of time travel.
Actually, you may be right, Joe. If we assume that a time loop is possible in the first place, it may be that we have already made enough assumptions about the rules applicable to time travel to avoid the "multiple Valens" paradox.
To always have one Valen at a time, what assumptions would have to be made? To me it seems that I would have to assume that the world which Valen enters is untouched by the loop, not likely to produce a Valen via natural course of events. This is because an unchanged world and a changed world cannot yield the same result.
However, each world Sinclair leaves is clearly touched by the loop, because it had Valen! If a connection is possible one way, it must be possible the other way! Otherwise we would have to assume time unidirectional, which would mean assuming time travel impossble.
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However, even fully dropping the "multiple Valens" issue...
There is a fellow named Sinclair. He learns that there was a fellow named Valen, who he must become. He goes to the past, where he becomes Valen, and presumably lives happily ever after, to see himself as Sinclair go to the past, and live happily ever after.
Now, despite the fact that most particles which Sinclair contained are likely to get exchanged within 1000 years, some of them are likely not to get exchanged, or not reach Sinclair in time (be located in another region of space). These particles now exist in two places at the same time. In the place where Valen resides or left them, and in the current Sinclair who goes to the past.
This creates yet another paradox, one not fully described before, yet equally puzzling. The same particle is almost infinitely unlikely to exist in two widely separated places. True, quantum mechanics define the location of a particle as a probability, but the probability of being both "here" and light-years away is terribly, infinitely small.
Actually, now that I think of it, this paradox too happens regardless of whether Valen died or lived, with simply the probabilities varying. So actually, if we would deem Siclair's trip possible at all, we might also plainly ignore this paradox.