Mathematical and physical existence of centers
Centers are not just a matter of cognition; they are mathematically and physically real.
The entities which come into existence in a configuration are not merely cognitive. They have a real mathematical existence, and are actually occurring features of the space itself. They may be established mathematically according to the relative hierarchies of differentiation in the space. They are mathematically and physically real. And they have different degrees of strength.
The same question that is brought up in the paper The Architecture of Complexity is valid here: do these regularities appear important to us because they are foundational principles of how the universe is structured, or do they appear important to us because we are hardwired biologically and/or psychologically to recognize these patterns?