Gorde:
| Egile nagusia: | |
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| Formatua: | Recurso digital |
| Hizkuntza: | |
| Argitaratua: |
Zenodo
2026
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| Sarrera elektronikoa: | https://doi.org/10.5281/zenodo.20273690 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- <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>