Class C Borel-Plane Survey: Orbit-Multiplier, WBA, and Alien-Strength Sectors Under Padé–Borel Analysis (Paper 19 in the Non-Holomorphic Fractal Series)
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| Langue: | anglais |
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2026
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| _version_ | 1866901321004613632 |
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| author | Bird, Michael |
| author_facet | Bird, Michael |
| contents | 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 D_n(α_C) at the Class C Bird-map fixed-point parameter α_C = 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. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19337522 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Class C Borel-Plane Survey: Orbit-Multiplier, WBA, and Alien-Strength Sectors Under Padé–Borel Analysis (Paper 19 in the Non-Holomorphic Fractal Series) Bird, Michael non-holomorphic fractals resurgence Borel singularity Padé-Borel Feigenbaum constant orbit multiplier Watson-Borel-alien alien-strength ladder Bird classification artefact-filter protocol 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 D_n(α_C) at the Class C Bird-map fixed-point parameter α_C = 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. |
| title | Class C Borel-Plane Survey: Orbit-Multiplier, WBA, and Alien-Strength Sectors Under Padé–Borel Analysis (Paper 19 in the Non-Holomorphic Fractal Series) |
| topic | non-holomorphic fractals resurgence Borel singularity Padé-Borel Feigenbaum constant orbit multiplier Watson-Borel-alien alien-strength ladder Bird classification artefact-filter protocol |
| url | https://doi.org/10.5281/zenodo.19337522 |