A Back-End Unification Framework Inspired by the Sadovskii Vortex Pair

This work presents a back-end unification framework that formalizes how claimed switches, bifurcations, or sign-opposed structures can be recognized, falsified, and monitored across platforms without relying on front-end existence proofs. Inspired by the Sadovskii vortex pair, the framework elevates a minimal −+ sign-opposed spine to a universal recognition primitive and locks it to an explicit operational grammar. Central to the approach are directive-only ZFlip as a primary falsifier, disable-L as a secondary falsifier, explicit leakage and yield accounting where zeros remain zeros, and a monotone collapse monitor TzT_zTz that signals loss of lock before failure. The result is a compact mapping template that separates side certification from magnitude drift, makes leakage expensive, and turns stability into a graded, auditable object rather than a binary claim. Designed intentionally as a back-end system, the framework does not replace platform-specific equations; instead, it provides a disciplined recognition code that can be reused across photonic, magnetic, hydrodynamic, and computational systems to prevent false unification and enable mechanical replication.