The Ontology of Hierarchical Depth: The Depth of Constraint and the Scaling of Order

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Abstract

Why does the universe organize itself into hierarchical levels---quarks to nuclei, atoms to molecules, cells to organisms, individuals to civilizations? In Energy-Efficiency Theory (EET), hierarchy is not an accident of evolution but a thermodynamic necessity. Nested constraints emerge because encapsulating lower-level order into higher-level constraints reduces the maintenance cost per unit of preserved information exponentially with hierarchical depth. This paper develops the complete ontology of hierarchical depth from the generative foundations of EET Core Rules v5.7. We define \textbf{hierarchical depth} $L$ as the number of nested encapsulation layers in a constraint network. A constraint at level $l$…

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Topics & keywords

Keywords
  • Computational complexity theory
  • Entropy (arrow of time)
  • Heuristic
  • Structural complexity
  • Ontology
  • Algorithmic complexity
  • Bounded function
  • Descriptive complexity theory
UN Sustainable Development Goals
  • Affordable and clean energy
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