Guardat en:
| Autors principals: | , |
|---|---|
| Format: | Recurso digital |
| Idioma: | |
| Publicat: |
Zenodo
2025
|
| Matèries: | |
| Accés en línia: | https://doi.org/10.5281/zenodo.17555113 |
| Etiquetes: |
Afegir etiqueta
Sense etiquetes, Sigues el primer a etiquetar aquest registre!
|
Taula de continguts:
- <p> We invert the traditional “Gibbs ⇒ ζ” narrative. Instead of assuming the Riemann<br> zeta function as a given analytic object or postulating a Gibbs ensemble with energies<br> En = lnn, we show that a discrete arithmetic medium—the primeon ensemble in<br> logarithmic p-space—forces an equilibrium measure with weights n−s. The normalizer<br> is then n≥1n−s = ζ(s) by necessity. Thus, ζ is not merely a convenient partition<br> function; it is the statistical shadow of a stable arithmetic equilibrium. The nontrivial<br> zeros acquire a physical meaning as phase-resonance conditions of the lattice; the critical<br> line ℜ(s) = 1/2 is a stability boundary</p>