There is some connection between the mathematical concept of a fixed point and, for example, the ancient idea of Ouroboros, a serpent devouring its own tail. You can imagine something underlying existence that restarts some "process" again and again, feeding it the result of its previous "iteration," as long as these "results" differ. And they will be different, because our world (mind) as a function is not pure, entropy is there and growing. But will it always be so?