...if software also follows the exponential law, it will advance to the point needed in a very short time...
If I had two ponies, I'd give one to the little red-haired girl.
You're just so sold on this that you're not getting it: software development doesn't
follow the exponential square "law" (heh) - the flaw in the single link you inserted that sort-of supported that notion has been pointed out.
Who cares whether you can dismiss the Mayan calendar or not, given that the passage of time deals completely and effectively with this nonsense? It's going to be as much fun watching all these foolish apocalyptic predictions come to nothing over the next decade as watching the History Channel's current bread-and-butter superstition crash and burn.