Local Viability and Global Constraint: Why Stable Systems Fail Within the Paton System

This paper establishes the structural relationship between local viability and global constraint within the Paton System. It demonstrates that local admissibility does not guarantee global continuation. Systems may remain stable within local constraint regions while violating higher-order global constraints that determine persistence. Failure is therefore reinterpreted as a boundary condition arising from global constraint incompatibility rather than local instability. This provides a unified explanation for system collapse across physical, biological, computational, and economic domains, clarifying the role of scale in admissibility and continuation.