Dynamic Inaccessibility of Zero-Scale Closure in T-Structured Systems

This technical note establishes the dynamical instability of pure zero-scale closure within T-structured systems governed by the relationT = ( I · C ) / S. Under minimal assumptions of bounded I and C and perturbable S > 0, the mapping S → T becomes non-Lipschitz as S approaches zero. It is shown that S → 0⁺ cannot represent a robust Lyapunov-stable endpoint under generic T-sensitive dynamics. This result implies that singular endpoints requiring effective zero-scale closure are dynamically inaccessible within the Schuijf Law framework. The work extends:Schuijf, J. (2026). The Schuijf Law: A Domain-Agnostic Formalism for Structured Systems. Zenodo. DOI: 10.5281/zenodo.17945385