Orbit-Multiplier Borel Poles Across Classes A, B, and C (Paper 18 in the Non-Holomorphic Fractal Series)

Paper 18 in the Non-Holomorphic Fractal Series. We study orbit-multiplier Borel singularities for the non-holomorphic Bird map across Classes A, B, and C, using the Watson–Borel–alien bridge from Paper 17 as context. Class C retains its Feigenbaum orbit-multiplier pole at s = 1/δF (Paper 6, locked reference). Class A exhibits neither a Feigenbaum-style sustained period-doubling ladder nor a visible positive-axis WBA Borel pole near s = 1. Class B shows only a phenomenologically stable 1/1 Padé–Borel pole for the log-ladder at s ≈ 2/3 (s ≈ 0. 6675) that does not survive higher-order Padé fits. These negative results rule out naive cross-class universality of the Feigenbaum orbit-multiplier Borel pole and constrain the resurgent atlas by establishing that the Feigenbaum orbit-multiplier Borel pole is a Class C-specific feature at present numerical resolution.