Hierarchical structures in biological systems enable local order while globally disordered, explaining complex patterning.

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• Hierarchical structure in interaction topology enables complex multiscale patterns that cannot exist in flat networks.claim0.823
  Explains why biological systems achieve organization across scales while language models struggle; grounds in free energy scaling
• Multiscale systems in biology can organize into complex patterns whereas flat autoregressive architectures cannot.hypothesis0.810
  Key hypothesis: topological/architectural properties determine capacity for long-range self-organization.
• Such middle-range order appears, without fail, in biological structures of all sorts, again making it virtually certain that there must be a predictable process which can create such order, and which does create it reliably in biological cases.claim0.803
  Claims middle-range order is universal in biology and implies a reliable generative process exists
• The kind of order that occurs in living structure has a complexity not usually describable by drawings or by architectural images.claim0.803
  Emphasizes the non-pictorial, process-dependent nature of living order.
• Multiscale systems like those prevalent in biology are capable of organizing into complex patterns, whereas rudimentary language models are challenged by long sequences of outputs.claim0.796
  Conclusion about why biology organizes complexity well and flat LLMs do not
• Spontaneous ordering in networks of interacting systems can be viewed as a form of self-organization, modelling neural and basal forms of cognition.claim0.792
  Claim linking physical self-organization to cognition
• Hierarchical clique-structured networks can maintain multiscale coherence; biology evolved hierarchy and stigmergy as coherence solutions.claim0.792
• Darwinian selective advantage alone cannot explain the appearance of global geometric order in organisms; an internal geometric ordering tendency must act together with selective pressure.claim0.782
  Alexander's argument that neo-Darwinism needs supplementation by internal dynamical ordering principles