The Plate–Projection Boundary in Newton–SCT Dynamics

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Abstract

Paper 35 in the "Geometry of the Critical Line" programme. The Cover Function C_α(z) = z − exp(−α/z) generates two mathematical arcs: an SCT geometric arc (Papers 0–10) and a Newton transport arc (Papers 20–34). This paper determines the boundary between shared structure and side-specific structure across these arcs. Three correspondences are proved from existing results: the arcs share a Level 1 constraint type (Theorem A, citing Paper 33) and a Level 2 decoupling type (Theorem B, citing Paper 34). The Newton side admits a Level 3 period-3 transport skeleton (Theorem C, citing RN6). A new proposition proves the separated σ-equation route to an SCT Level 3 skeleton is algebraically obstructed; five further…

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Topics & keywords

Keywords
  • Monotone polygon
  • Boundary (topology)
  • Cover (algebra)
  • Projection (relational algebra)
  • Arc (geometry)
  • Constraint (computer-aided design)
  • Simple (philosophy)
  • Decoupling (probability)
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