Navigating Mathematical Truth: A New Lifecycle-Based Framework for Gödel's Dichotomy

This research introduces a novel coordinate system to categorize mathematical statements based on time and observer knowledge, rather than attempting a binary resolution of Gödel’s famous 1951 disjunction. By utilizing Lean 4 for formal verification, it offers a practical 'lifecycle' approach to understanding how mathematical truths evolve, providing a significant shift from abstract philosophy to operational logic.