A simple, rigorous and infallible mathematical proof that yields your 'paper' worthless. I think you need to research more into the concept of infinity.
Your fallacy is on the basis of 'no matter how many nines you add, it's always less than one'. That implies that we are adding a finite number of descending powers of 9. We are not. We are adding an infinite amount.
Methinks thou is a troll.