Natura Simplex II : global compatibility and non-factorizable minima

We extend our Natura Simplex program by examining the collective compatibility of multiple compact phase structures subject to global coherence constraints. We propose that physically admissible configurations are selected by collective compatibility minima rather than by strictly separable local degrees of freedom. Within this framework, topological constraints and coupled holonomies naturally lead to non-factorizable minima and collective structures of coherence. A minimal compatibility functional is introduced to describe how global constraints can generate intrinsically collective onfigurations whose minima cannot generally be reconstructed from independent local contributions. We suggest that certain correlated structures observed in physical systems may emerge geometrically from global compatibility constraints imposed on compact phase configurations. The present work is exploratory and aims only at identifying possible geometric mechanisms capable of generating intrinsically collective non-factorizable structures.