This theory concerns the soul of the Dragon, and other souls in general.

First a few observations. What is the deal with Lews Therin Telamon? Of the thousands of dragon's he is the form his soul takes in T'A'R. Why? He is no more significant than any other of the dragons. What about Hawkwing? He must be a very new hero as he has only lived once, or he to takes on his latest appearance in T'A'R. Why does Hawkwing lead the hereos? Finally why are Perrin and Mat bound to Rand (the tripod thing) if there souls are not hereos?

After a lot of thinking I have come to a conclusion. A Hereos soul lives a thousand lives, but the life in which it has the biggest impact is the persona the soul takes in T'A'R. This would explain the appearance of LTT and HW in T'A'R, LTT sealed the Bore and HW ruled a vast empire and shaped history, he also is responsible for the Seanchan. They are not more significant than there other soul reincarnations they just had a bigger effect on the world.

so what about Rand, Mat and Perrin. This theory is a little...radical but just listen. Rand has refused to accept the part of himself that is LTT, the dragon. What if he succeded at TG, died and his soul split from the part that was the dragon's soul. That is Rand in denying the dragon became a new and different hero. Rand would make a new dragon soul. LTT would continue to exist in T'A'R and Rand would too as a new hero.

Now as for Mat and Perrin, they are new heroes that will be connected to the new dragon soul. Whenever Rand is born Mat and Perrin will be born within days. This new triad will be the light's champion/s. Because Rand Mat and Perrin will have such a huge effect on the world they will always be the form their souls take in T'A'R

Thats it so flame away!