11.23 Hyperemergent presence/absence crossfunctionality, Antilobes, nullpatterns, and crosspatterns

Hyperemergent Crossfunctionality can extend beyond positive-positive lobe interaction. A Higher Lobe's emergent dimensions can crossfunction with Antilobe signals representing non-firing, including higher-order Antilobe information about monitoring-chain failure. This creates a route by which higher-order positive emergent cognition can operate directly on informative absences.

E*_phi,h x A_a(L_psi,k) -> Hyperemergent presence/absence crossfunction

If the resulting output represents a recurrent mixed structure of presences and informative absences, it can support crosspattern recognition at a higher functional level. Likewise, multiple Antilobes may supply nullpattern structure while Higher Lobes supply positive emergent dimensions that classify, interpret, exploit, or act upon that absence-structure.

This does not redefine Antilobe order as Hyperfunction order. a still measures monitoring-recovery depth when the anti-chain is failure-gated; h still measures positive Hyperfunction state order. Hyperemergent Crossfunctionality is the network relation linking their outputs when relevant.