A boundary product–certificate approach to the Riemann Hypothesis
Abstract
We prove that all nontrivial zeros of the Riemann zeta function with Re(s) >= 0.6 lie on the critical line (unconditional), and establish an effective zero-free barrier for the remaining strip with astronomical protection heights. Far-field (Re(s) >= 0.6): Unconditionally zero-free. The arithmetic Cayley field Θ is Schur (|Θ| ~ 10^8800. Main Result (Theorem 183). (a) (Unconditional) The Riemann zeta function has no zeros with Re(s) >= 0.6. (b) (Effective) No zeros with 1/2 < Re(s) < 0.6 exist at height |t|
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Analytic Number Theory Research
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 January 2026
- Document type
- Preprint