INU: A Structural Framework for Compressed Arithmetic and Discrete Transformation

This archive presents INU (Intuitive Numerical Unification), a proposed framework for compressing arithmetic operations through structural classification and periodic transformations. INU includes a notation system for INU operations, an n-radix extension, and a dimensional generalization applicable to problems such as the Collatz Conjecture and the Four Color Theorem. The file contains LaTeX source documents, preliminary classification tables, and symbol definitions. INU treats numerical entities as convertible types and provides discrete analogs for topological transformations. This research aims to inspire new approaches to number theory, combinatorics, and structural proofs. This framework does not seek final correctness, but rather the richness of inquiry. It is offered not as a conclusion, but as a beginning—an invitation to transform arithmetic through structure. This work may contain errors. But if its structure holds, others will correct the rest. It is shared not for perfection, but for possibility.