| _version_ | 1866901799147929600 |
|---|---|
| author | Simons, Jonathan |
| author_facet | Simons, Jonathan |
| contents | <p class="my-1 leading-[1.4]"><strong>Description:</strong> In 1972, Montgomery and Dyson discovered over tea that Riemann zero spacings match nuclear energy level statistics — a mystery unsolved for 54 years. This paper resolves it: both are eigenvalue spectra of the Q6 prime lattice operator at different truncations. The GUE universality follows from self-adjointness of Q6 and the coprime identity ζ(2) = π²/6.</p> <p class="my-1 leading-[1.4]"><strong>Keywords:</strong> Riemann hypothesis, Montgomery-Dyson, GUE, random matrices, prime lattice, Q6 operator, Navier-Stokes, number theory, nuclear physics</p> <p class="my-1 leading-[1.4]"><strong>Communities:</strong> mathematics, mathematical-physics, fluid-dynamics</p> <p class="my-1 leading-[1.4]"><strong>Related works:</strong></p> <ul class="my-1 ps-5 list-disc"> <li class="my-0.5"><a class="text-orange-600 hover:text-orange-700 dark:text-orange-400 dark:hover:text-orange-300 underline" href="https://doi.org/10.5281/zenodo.19842060" rel="noopener noreferrer">https://doi.org/10.5281/zenodo.19842060</a> (Ring Lemma)</li> <li class="my-0.5"><a class="text-orange-600 hover:text-orange-700 dark:text-orange-400 dark:hover:text-orange-300 underline" href="https://doi.org/10.5281/zenodo.19842061" rel="noopener noreferrer">https://doi.org/10.5281/zenodo.19842061</a> (Diffuse Cascade)</li> </ul> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20184148 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Montgomery–Dyson Coincidence Resolved by the Q6 Prime Lattice Operator Simons, Jonathan <p class="my-1 leading-[1.4]"><strong>Description:</strong> In 1972, Montgomery and Dyson discovered over tea that Riemann zero spacings match nuclear energy level statistics — a mystery unsolved for 54 years. This paper resolves it: both are eigenvalue spectra of the Q6 prime lattice operator at different truncations. The GUE universality follows from self-adjointness of Q6 and the coprime identity ζ(2) = π²/6.</p> <p class="my-1 leading-[1.4]"><strong>Keywords:</strong> Riemann hypothesis, Montgomery-Dyson, GUE, random matrices, prime lattice, Q6 operator, Navier-Stokes, number theory, nuclear physics</p> <p class="my-1 leading-[1.4]"><strong>Communities:</strong> mathematics, mathematical-physics, fluid-dynamics</p> <p class="my-1 leading-[1.4]"><strong>Related works:</strong></p> <ul class="my-1 ps-5 list-disc"> <li class="my-0.5"><a class="text-orange-600 hover:text-orange-700 dark:text-orange-400 dark:hover:text-orange-300 underline" href="https://doi.org/10.5281/zenodo.19842060" rel="noopener noreferrer">https://doi.org/10.5281/zenodo.19842060</a> (Ring Lemma)</li> <li class="my-0.5"><a class="text-orange-600 hover:text-orange-700 dark:text-orange-400 dark:hover:text-orange-300 underline" href="https://doi.org/10.5281/zenodo.19842061" rel="noopener noreferrer">https://doi.org/10.5281/zenodo.19842061</a> (Diffuse Cascade)</li> </ul> <p> </p> |
| title | The Montgomery–Dyson Coincidence Resolved by the Q6 Prime Lattice Operator |
| url | https://doi.org/10.5281/zenodo.20184148 |