Borel-Plane Probes at the Aether Limit: Extended Negative Atlas for the Non-Holomorphic Bird Map (Paper 21 in the Non-Holomorphic Fractal Series)

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Abstract

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…

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Topics & keywords

Keywords
  • Aether
  • Singularity
  • Atlas (anatomy)
  • Fractal
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