The Operational Invariant: A Structural Resolution to the Limits of Observation

This paper develops the 'Structural Floor Principle,' proposing that mature theoretical systems across physics, mathematics, and psychology stabilize at boundaries where complementary perspectives balance. Building on the triadic framework of Nothing (0), Unity (1), and Totality (Infinity), the author examines the 'Tactile Sieve' of consciousness and interprets persistent paradoxes (Godel, Riemann, Zeno) as structural signals rather than failures. The work provides a resolution to classical debates—including free will vs. determinism and the problem of induction—by identifying them as necessary boundary results of the operational invariant 1 = (0 Infinity).