Unlocking the Secret of Irrational Numbers

This paper argues that irrational numbers are not intrinsic properties of nature, but structural byproducts generated by fixed grid–based coordinate systems. The author identifies the root cause of irrationality as a phase mismatch between a fixed coordinate framework and the orientation of the measured object, and proposes a paradigm of coordinate realignment as an alternative interpretive framework.From this perspective, infinitely non-terminating numbers do not indicate the existence of fundamentally new numerical entities, but rather reveal the inability of a fixed operational system to stabilize certain spatial relations. The paper further suggests that the form of simultaneity implicitly required by modern mathematical problems—such as the Riemann Hypothesis—is structurally constrained within fixed orthogonal grids.Rather than offering solutions to individual problems, this work adopts a dissolution-based approach, reexamining and removing the structural conditions under which such problems arise. In doing so, it provides a theoretical foundation for a terminating computational architecture capable of mitigating cumulative numerical error at its origin, with potential implications for computer arithmetic, numerical analysis, and machine-oriented computation