11.17 Polyhyperemergence - three or more participating lobes

Hyperemergent Crossfunctionality is not restricted to pairs. Any finite or maximumlessly large task-relevant set of neural structures may in principle participate if the architecture recruits, routes, selects, and integrates them. Define a participating set P={X1,...,Xm}. At least one Xi must contribute a Hyperfunction-generated emergent dimension for the output to qualify as Hyperemergent under the present definition.

C* = Cross(X1, X2, ..., Xm)

HEC(C*)=1 if exists Xi and e in E*(Xi) such that C*_without_e != C*

Polyhyperemergence allows higher-arity interaction terms. A property may require three dimensions jointly even though no pair suffices. Therefore pairwise testing alone can miss genuinely triadic, tetradic, or higher-arity Hyperemergent Crossfunctionality.

e1*e2*e3 may be output-relevant even when e1*e2, e1*e3, and e2*e3 are individually insufficient