| _version_ | 1866901788765978624 |
|---|---|
| author | Coppi, Franck |
| author_facet | Coppi, Franck |
| contents | <p>This preprint proposes the Critical Auto-Duality Conjecture (CADC), a structural reformulation of the Generalized Riemann Hypothesis. It presents a fully non-circular discrete Hamiltonian on the prime ladder, achieving record-precision reconstruction of Riemann zeros, complemented by rigorous analytic proofs of spectral instability off the critical line. Includes reproducible Python code and large-scale numerical results.</p> <p> </p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18173524 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Critical Auto-Duality Conjecture: Numerical Evidence and Analytic Necessity Coppi, Franck Riemann Hypothesis, Critical Auto-Duality Conjecture, Generalized Riemann Hypothesis, Berry-Keating-Connes Hamiltonian, Prime Ladder, Non-Circular Reconstruction, Spectral Instability, Riemann Zeros, Explicit Formula, Operator Theory, Number Theory, Mathematical Physics <p>This preprint proposes the Critical Auto-Duality Conjecture (CADC), a structural reformulation of the Generalized Riemann Hypothesis. It presents a fully non-circular discrete Hamiltonian on the prime ladder, achieving record-precision reconstruction of Riemann zeros, complemented by rigorous analytic proofs of spectral instability off the critical line. Includes reproducible Python code and large-scale numerical results.</p> <p> </p> <p> </p> |
| title | The Critical Auto-Duality Conjecture: Numerical Evidence and Analytic Necessity |
| topic | Riemann Hypothesis, Critical Auto-Duality Conjecture, Generalized Riemann Hypothesis, Berry-Keating-Connes Hamiltonian, Prime Ladder, Non-Circular Reconstruction, Spectral Instability, Riemann Zeros, Explicit Formula, Operator Theory, Number Theory, Mathematical Physics |
| url | https://doi.org/10.5281/zenodo.18173524 |