The Shape of Things Developmental Geometry Arc 3: The Reason for Things Volume I: The Ontology of Imbalance

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Abstract

Arc 3 Volume II develops the geometric embedding of the generative triple as a cone-wall tiling, derives the shell capacity formula C_n = 2n² from tiling geometry, establishes the physical class as one instance of the universal developmental invariant, and proves the universality theorem: every DG-admissible system exhibits the generative triple, throat, corridor, and convergence to the limiting signature.

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Topics & keywords

Keywords
  • Embedding
  • Universality (dynamical systems)
  • Generative grammar
  • Arc (geometry)
  • Limiting
  • Class (philosophy)
  • Volume (thermodynamics)
  • Ontology
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