Alien-Corrected Borel Probes in Class C (Paper 20 in the Non-Holomorphic Fractal Series)
Abstract
Paper 20 in the Non-Holomorphic Fractal Series. Papers 18 and 19 built a calibrated Borel-plane atlas for the non-holomorphic Bird map and found that natural Class C observables (orbit-multiplier, WBA, and alien-strength Watson ladder) are Feigenbaum-blind at current resolution under a gamma-family Padé–Borel skeleton with strict G1–G4 artefact filters. Here we extend that atlas by introducing explicit alien-corrected inputs derived from the Watson-side alien calculus of Papers 13–17 and feeding them back into the same Padé–Borel machinery. For each observable we construct alien-corrected coefficient sequences, re-validate G4 via synthetic Feigenbaum-pole injections, and perform full G1–G3 scans on the corresponding real data. Our computations show that the calibrated gamma-family probes detect a planted Feigenbaum-like pole with excellent stability even after first-order alien corrections, but the true Class C observables remain empirically Feigenbaum-blind on the positive axis up to N ≤ 80 and over a moderate Borel scale band. The negative Class C verdict is thus significantly strengthened: within the tested gamma-family Padé–Borel skeleton and first-order alien corrections, no Padé-stable, N-stable positive-axis Feigenbaum pole emerges in any of the orbit, WBA, or alien-strength ladders.
Fields of Study & Subjects
Morphological variations and asymmetry
Mathematical Dynamics and Fractals
Visual perception and processing mechanisms
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 30 March 2026
- Language
- EN
- Document type
- Preprint