Multi-Band Universality and Watson-Band Rigidity for Bird-Map Borel Transforms (Paper 33 in the Non-Holomorphic Fractal Series)
Fuente:
Zenodo
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Recurso digital |
| Publicado: |
Zenodo
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866901546389733376 |
|---|---|
| author | Bird, Michael |
| author_facet | Bird, Michael |
| contents | Paper 33 in the Non-Holomorphic Fractal Series. We develop a multi-band universality framework for Borel transforms of observables on the non-holomorphic Bird map, organizing exponential types into two disjoint bands: an orbit band B_orb = [0.14, 0.19] for orbit-type observables and a Watson band B_W = [0.79, 0.87] for Watson-type kernels. We prove orbit-band placement for orbit-type observables (Theorem 3.1) and provide three-kernel numerical evidence supporting Watson-band rigidity and cross-band decoupling. On the numerical side, we show that three distinct Watson-class kernels (the real WBA kernel on the true orbit, a calibrated Lorentzian proxy, and an alien-strength kernel) all exhibit a shared, contiguous rigidity window 0.84 ≤ ε ≤ 0.90 in which their tail-averaged root-test exponents ρ_N(h, ε) lie inside B_W for all sampled large N, while remaining uniformly separated from B_orb. These results motivate conjectural cross-band decoupling and Watson-band rigidity statements. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19434783 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Multi-Band Universality and Watson-Band Rigidity for Bird-Map Borel Transforms (Paper 33 in the Non-Holomorphic Fractal Series) Bird, Michael non-holomorphic fractals resurgence multi-band universality Watson band orbit band Borel transform exponential type cross-band decoupling Bird classification Watson-class observables Paper 33 in the Non-Holomorphic Fractal Series. We develop a multi-band universality framework for Borel transforms of observables on the non-holomorphic Bird map, organizing exponential types into two disjoint bands: an orbit band B_orb = [0.14, 0.19] for orbit-type observables and a Watson band B_W = [0.79, 0.87] for Watson-type kernels. We prove orbit-band placement for orbit-type observables (Theorem 3.1) and provide three-kernel numerical evidence supporting Watson-band rigidity and cross-band decoupling. On the numerical side, we show that three distinct Watson-class kernels (the real WBA kernel on the true orbit, a calibrated Lorentzian proxy, and an alien-strength kernel) all exhibit a shared, contiguous rigidity window 0.84 ≤ ε ≤ 0.90 in which their tail-averaged root-test exponents ρ_N(h, ε) lie inside B_W for all sampled large N, while remaining uniformly separated from B_orb. These results motivate conjectural cross-band decoupling and Watson-band rigidity statements. |
| title | Multi-Band Universality and Watson-Band Rigidity for Bird-Map Borel Transforms (Paper 33 in the Non-Holomorphic Fractal Series) |
| topic | non-holomorphic fractals resurgence multi-band universality Watson band orbit band Borel transform exponential type cross-band decoupling Bird classification Watson-class observables |
| url | https://doi.org/10.5281/zenodo.19434783 |