The Critical Auto-Duality Conjecture: Numerical Evidence and Analytic Necessity
Abstract
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.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Homotopy and Cohomology in Algebraic Topology
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 January 2026
- Language
- EN
- Document type
- Preprint