A Prime–Resonance Hilbert–Polya Operator and the Riemann Hypothesis
Fuente:
Zenodo
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Veröffentlicht: |
Zenodo
2025
|
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866902052278370304 |
|---|---|
| author | Schepis, Sebastian |
| author_facet | Schepis, Sebastian |
| contents | <div> <div> <div> <p>We construct a self-adjoint operator on a prime-based Hilbert space whose spectral determinant matches the completed Riemann ξ-function on the critical line. This operator arises naturally within a prime-resonance framework where primes serve as fundamental eigenstates and entropy-driven stabilization enforces spectral alignment. Using a block chiral form, calibrated prime-power trace identity, and functional antiuni- tary symmetry, we prove that all non-trivial zeros of ζ(s) lie on Rs = 12. This provides a resolution of the Riemann Hypothesis via the Hilbert–Po ́lya strategy, extended with resonance and entropy considerations.</p> </div> </div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17220764 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Prime–Resonance Hilbert–Polya Operator and the Riemann Hypothesis Schepis, Sebastian <div> <div> <div> <p>We construct a self-adjoint operator on a prime-based Hilbert space whose spectral determinant matches the completed Riemann ξ-function on the critical line. This operator arises naturally within a prime-resonance framework where primes serve as fundamental eigenstates and entropy-driven stabilization enforces spectral alignment. Using a block chiral form, calibrated prime-power trace identity, and functional antiuni- tary symmetry, we prove that all non-trivial zeros of ζ(s) lie on Rs = 12. This provides a resolution of the Riemann Hypothesis via the Hilbert–Po ́lya strategy, extended with resonance and entropy considerations.</p> </div> </div> </div> |
| title | A Prime–Resonance Hilbert–Polya Operator and the Riemann Hypothesis |
| url | https://doi.org/10.5281/zenodo.17220764 |