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 Dₙ (αC) at the Class C Bird-map fixed-point parameter αC = 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 target-window poles in all three sectors. We conclude that Class C is Feigenbaum-blind at current resolution under this Padé–Borel skeleton, and we document the complete negative sector atlas together with the artefact-filter protocol (G1–G4) used to certify each result.
Michael Bird (Mon,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: