Picard–Lefschetz Stokes Constant Law for Class A: Watson–Borel–Alien Extraction and the α^{1/3} K(1−α)^δ Universality (Paper 16 in the Non-Holomorphic Fractal Series)

Paper 16 in the Non-Holomorphic Fractal Series. Papers 12–15 fixed the sign, exact exponent, and Picard–Lefschetz definition of the Class A Stokes constant S₁ᴬ(α) but left its normalized magnitude and α-dependence as open numerical questions. In this paper we compute the Picard–Lefschetz normalized magnitude |S₁ᴬ|_PL(α) on a 13-point α-grid using the Watson–Borel–alien route: we build the Watson generating function G_A(s; α) = ₂F₁(1/2, p; p + 1/2; s) with p = 1 − α/2, evaluate its branch-cut discontinuity at the first Borel singularity s = 1 via high-precision Padé approximants and direct ₂F₁ evaluation, and convert the jump to a Stokes magnitude via the Picard–Lefschetz bridge equation |S₁ᴬ|_PL = |Δω|/(2π).…