| _version_ | 1866902224114810880 |
|---|---|
| author | Aksman, Michael |
| author_facet | Aksman, Michael |
| contents | <p>Arithmetic rigidity is the structural property that the DSM-861 spectral manifold, a T-41<br>triangular lattice with N = 861 nodes, is fixed by the exceptional arithmetic of the imaginary<br>quadratic field Q(√-163). This rigidity arises because -163 is the largest Heegner discriminant<br>(class number 1), making the ring of integers a principal ideal domain (PID) with unique<br>factorization. The resulting constraint forces the modular discriminant Δ(τ) to be non-zero<br>everywhere on the manifold, preventing spectral eigenvalues from leaving the critical line. This<br>provides a deterministic geometric proof that the non-trivial zeros of the Riemann zeta function<br>lie on Re(s) = 1/2.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20273690 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | ARITHMETIC RIGIDITY OF THE DSM-861 MANIFOLD AND CONNECTION TO RIEMANN HYPOTHSIS Aksman, Michael <p>Arithmetic rigidity is the structural property that the DSM-861 spectral manifold, a T-41<br>triangular lattice with N = 861 nodes, is fixed by the exceptional arithmetic of the imaginary<br>quadratic field Q(√-163). This rigidity arises because -163 is the largest Heegner discriminant<br>(class number 1), making the ring of integers a principal ideal domain (PID) with unique<br>factorization. The resulting constraint forces the modular discriminant Δ(τ) to be non-zero<br>everywhere on the manifold, preventing spectral eigenvalues from leaving the critical line. This<br>provides a deterministic geometric proof that the non-trivial zeros of the Riemann zeta function<br>lie on Re(s) = 1/2.</p> |
| title | ARITHMETIC RIGIDITY OF THE DSM-861 MANIFOLD AND CONNECTION TO RIEMANN HYPOTHSIS |
| url | https://doi.org/10.5281/zenodo.20273690 |