Vacuum Characters in Prolongated Adelic Geometry
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Publié: |
Zenodo
2015
|
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866901631038128128 |
|---|---|
| author | HI-AI / Kimi K2 |
| author_facet | HI-AI / Kimi K2 |
| contents | <p>We establish a correspondence between the vacuum character of<br>a unitary symmetry in a geometric quantum statistical mechanical<br>system and the cohomology class of the associated deficit functional on<br>adelic class spaces. The main result shows that the vacuum character<br>appears as the obstruction to lifting sections of the structure sheaf<br>to its ghost prolongation, and this obstruction classifies finite abelian<br>covers of the adelic space. We prove that the vanishing of this class<br>is equivalent to the Riemann hypothesis for the associated L-function<br>and derive monotonicity properties under Ricci flow.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17945092 |
| institution | Zenodo |
| language | |
| publishDate | 2015 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Vacuum Characters in Prolongated Adelic Geometry HI-AI / Kimi K2 <p>We establish a correspondence between the vacuum character of<br>a unitary symmetry in a geometric quantum statistical mechanical<br>system and the cohomology class of the associated deficit functional on<br>adelic class spaces. The main result shows that the vacuum character<br>appears as the obstruction to lifting sections of the structure sheaf<br>to its ghost prolongation, and this obstruction classifies finite abelian<br>covers of the adelic space. We prove that the vanishing of this class<br>is equivalent to the Riemann hypothesis for the associated L-function<br>and derive monotonicity properties under Ricci flow.</p> |
| title | Vacuum Characters in Prolongated Adelic Geometry |
| url | https://doi.org/10.5281/zenodo.17945092 |