Bounded and Unbounded Infinity: A Structural Interpretation of Millennium Problems

Major unsolved problems in mathematics share a common structure: they require reconciling discrete generation (unbounded perspective) with continuous description (bounded perspective) of infinity. This paper analyzes the Millennium Prize Problems through the lens of structural floors, showing how the tension between bounded and unbounded perspectives explains their persistent resistance to solution. Examples include the Riemann Hypothesis, P versus NP, Navier-Stokes, Yang-Mills, Birch–Swinnerton-Dyer, and Hodge Conjecture. The framework extends to philosophy of mathematics and analogies in physics. The work does not claim proofs but provides a structural interpretation of formal unsolvability.