Renormalization: Possible Incompatibility Application of Mathematical Number System to describe Physical realities !

Renormalization has been the most important fundamental issues in Physics. The Fundamental reason is incompatibility of the Number Systems and Mathematical Tools the way they have bee defined. there is fundamental mismatch between the intrinsic geometry between the mathematical number tools and the physical realities in Nature. 

It's like Reference frame where reference frame itself doesn't confotm to the Nature's Realities. 

This also leads to the possible  fact that Quantum Laws described in these Number system itself is Self-Inconsistent!!

Nature Realities  must be independent of Reference frames(Number system) .

There can be different Number Systems as reference frames but one muat check if their intrinsic characteristics are compatible with the Nature Realities or else they would lead to Contradictory results..that's the fundamental reason behind the disturbing infinities in context of Renormalization in Physics