Eternity is the worst curse to gift a mortal mind, of mortal desires, and mortal whimsy, and mortal emotions and fears.

I would stay. They are my child and I care about them. Once they perished of old age I would find a way to end my own life, or make some purpose out of it, to enhance the lives of those around me... But I would never share the curse of eternity. Too many would leap for it, take it, and realize some centuries later that all their mortal desires are finite, but now their own existences are not.

But alas. Eternity is impossible so long as entropy exists.