N-Scaling and Entropic Divergence of Regime-B Breakout Clusters on the Twisted Bird-Map Boundary Grid (Paper 48 in the Non-Holomorphic Fractal Series)

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Abstract

Paper 48 in the Non-Holomorphic Fractal Series. Paper 47 established that numerical Regime A is fully falsified across the entire boundary grid E_bdy at N = 4096. Paper 48 asks how the inferred cluster-width proxies k_EAE and k_BV behave when the Ulam resolution is doubled across selected high-signal cells. We rerun the spike-quotient battery from Papers 45–47 on six boundary cells for N ∈ {2048, 4096, 8192} and add N = 16384 on three of them, obtaining a 21-row battery table. The resulting N-scan supports a discrete two-class taxonomy within numerical Regime B: a coherent class B1 where k_EAE and k_BV remain single- to few-digit and the divergence D is bounded and non-monotone, and a spray class B2 where k_BV…

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Topics & keywords

Keywords
  • Bounded function
  • Divergence (linguistics)
  • Grid
  • Fractal
  • Boundary (topology)
  • Sequence (biology)
  • Breakout
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