[constantcrying]

There is a fundamental theorem of numerical analysis, due to Kahan, that certain, very desirable properties of modeling the real numbers on a computer are incompatible.

Again and again people try to "fix" IEEE floating points without realizing that they are trying to do something akin to creating free energy. Whenever you start out with a project like this you have to start by asking yourself what desirable property you are willing to let go of. Not presenting that flaw makes the whole thing look either dishonest or uninformed.

>Any real number x can be represented as

This statement is just false. I do not know why you would start out by making such a basic error. The real numbers are uncountable you can not represent all real numbers by a pair of integers. This is basic real analysis

>The mathematics is elementary. The impact is revolutionary.

???

>Special thanks to everyone who said "that's just how it works" - you motivated me to prove otherwise.

Maybe the people know better than you? It is after all a mathematical theorem.