Structural Impossibility of Watson–Boundary-Layer Anchor Reproduction and the Picard–Lefschetz Redefinition of the Class A Stokes Constant (Paper 15 in the Non-Holomorphic Fractal Series)

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Abstract

Paper 15 in the Non-Holomorphic Fractal Series. Paper 11 reported three numerical anchor values for the Class A Stokes constant S₁ᴬ(α) at α ∈ {1/4, 1/2, 3/4}, extracted via a Definition 4.1 amplitude ratio on the Stokes ray. These values, together with the sign result of Paper 12 and the α^{1/3} power law of Paper 14, formed the empirical backbone of the series. Subsequent exhaustive experiments showed that no implementation faithful to the finalized Watson–boundary-layer–Picard–Lefschetz (Watson–BL–PL) framework reproduces the anchors. Every spec-true realization of the area law, Watson factor, BL series and normalization either drives the Definition 4.1 ratio to 0 or to a large K-independent constant f(α) ≫…

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Topics & keywords

Keywords
  • Impossibility
  • Constant (computer programming)
  • Class (philosophy)
  • Exponent
  • Fractal
  • Lemma (botany)
  • Normalization (sociology)
UN Sustainable Development Goals
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