Ordinal Constraints in Computational Search Spaces

This preprint develops a structural framework for analyzing computational search spaces using ordinal stratification and layer-based constraint mechanisms. The work formalizes ordinal height functions, width measures, stabilization operators, and cutoff mechanisms governing layered search growth. The framework is analyzed in relation to classical complexity classes and evaluated against known barriers including relativization, natural proofs, and algebrization. No claim is made regarding resolution of the P versus NP problem or other open problems. The contribution is structural: introducing a barrier-aware vocabulary for studying hierarchical search systems and their asymptotic growth properties.