1 = 0,99........

[Bridge]

There is difference bewteen 1 and 0,99999. It is mathematically proven and that won't change no matter how small scales we are going to discover.

Don't be so conservative. I just gave two examples where a theory set in stone so to speak was disproven overnight. What right do you have to dictate what the future may hold? Just because you can prove it with the knowledge we have now doesn't mean it is absolute.

EDIT: Furthermore, all of the arithmetic operations you performed on the algebraic equation x = 0.9~ are incompatible with infinitesimals. There is something between 0.9~ and 1; current mathematical rules simply cannot account for something so small.