The α-Dependence of the Class-A Stokes Constant: Exact Exponent from Half-Thimble Geometry

We prove the second universal law in the Bird classification of non-holomorphic fractals. For Class A (0 < α < 1), the Stokes constant satisfies |S₁ᴬ (α) | = α^1/3 (1 + c (1−α) ) + O ( (1−α) ²), where β = 1/3 is exact — forced by cubic turning-point geometry of the half-thimble at the endpoint saddle t = 1 interacting with the interior saddle across the Stokes line θS = π/ (1+α). The coefficient c = −0. 07298 ± 0. 00022 is the leading alien-derivative correction. Includes: (i) proof that all pure integral reconstruction routes (Watson substitution, truncation, pixel-counting) are degenerate by construction, (ii) full derivation of β = 1/3 via Picard–Lefschetz half-thimble geometry, (iii) complete 19-point α-grid with three Paper 11 anchors reproduced, and (iv) canonical Python computation script. The exact closed form of c is the natural open problem for Paper 15. Part of the Non-Holomorphic Fractal Series by Michael Bird, Independent Researcher, Reno, Nevada.