Class C Borel-Plane Survey: Orbit-Multiplier, WBA, and Alien-Strength Sectors Under Padé–Borel Analysis (Paper 19 in the Non-Holomorphic Fractal Series)

Paper 19 in the Non-Holomorphic Fractal Series. We use a calibrated gamma-family Padé–Borel skeleton with fixed rescaling σ = 5.263 to probe Borel singularities in three observable sectors of the Class C non-holomorphic Bird map. The three sectors are: (i) orbit-multiplier coefficients from the one-dimensional Feigenbaum cascade, (ii) Watson–Borel–alien (WBA) coefficients, and (iii) the Class C alien-strength Watson ladder D_n(α_C) at the Class C Bird-map fixed-point parameter α_C = 0.3605. Synthetic calibration (G4 check) confirms that a Feigenbaum-like pole planted at s₀ = 0.19 is robustly recovered at s̃ ≈ 1.00025 across N ≤ 80 and all tested Padé degrees in every sector tested. Real-data probes return zero…