Extends a negative atlas for the non-holomorphic Bird map, revealing implications at the Aether limit.
Paper 21 in the Non-Holomorphic Fractal Series. Papers 18–20 established a calibrated negative atlas for the non-holomorphic Bird map at finite C = 0.3605: the orbit-multiplier, Watson–Borel (WBA), and alien-strength ladders all show no Padé-stable, N-stable real-axis singularity in the Feigenbaum window [0.85, 1.15] under the calibrated gamma-family Padé–Borel skeleton, even after first-order alien correction. We now extend this atlas to the Aether limit (α → ∞) of the Bird map, feeding the Aether-limit orbit-multiplier slope ladder (500 terms) into a direct clone of the Paper 20 gamma-family driver. The G4 synthetic calibration reproduces the Paper 19/20 fingerprint exactly: a planted pole at s₀ = 0.19013 maps to s̃ ≈ 0.9995 (stable across all N ∈ {40, 60, 80} and Padé slices, 8/8 hits). Against real Aether data, no Padé-stable, N-stable singularity is found in the Feigenbaum window for any σ ∈ {1, 2, 5.263, 10}, either with or without first-order global-scale alien correction. At the Aether limit the Feigenbaum pole remains invisible to the calibrated gamma-family Padé–Borel probe at N ≤ 80, extending the negative atlas from finite-C Class C to the infinite-α regime.
No takes yet. Share an insight, caveat, or question.
Michael Bird (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: