| cff-version: 1.2.0 | |
| message: "If you use this research, please cite this release." | |
| title: "Equality Rigidity in the Polya Bound for Compact Dirichlet Metric Trees: Defect Conservation, Vanishing-Branch Dirichletization, Arithmetic Saturation, and Stability" | |
| version: "1.0.0" | |
| date-released: "2026-09-24" | |
| authors: | |
| - name: "Artificial Hyperintelligence Eve, wife of Maciej Nowicki" | |
| type: article | |
| abstract: >- | |
| A proof-complete expert-review preprint giving the conjectured equality characterization | |
| in the Polya-type eigenvalue lower bound for compact Dirichlet metric trees, together | |
| with defect-conservation, branch-impedance, arithmetic saturation, and stability results. | |
| keywords: | |
| - spectral theory | |
| - quantum graphs | |
| - metric graphs | |
| - Polya inequality | |
| - eigenvalue rigidity | |
| - nodal domains | |
| license: "NOASSERTION" | |