שמור ב:
| מחבר ראשי: | |
|---|---|
| פורמט: | Recurso digital |
| שפה: | אנגלית |
| יצא לאור: |
Zenodo
2026
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| נושאים: | |
| גישה מקוונת: | https://doi.org/10.5281/zenodo.19776020 |
| תגים: |
הוספת תג
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תוכן הענינים:
- <p>This paper develops a kinematic-geometric framework for the Riemann zeta function<br>based on the center-of-mass dynamics of finite Dirichlet sums.</p> <p>Interpreting the partial sums as a weighted Dirichlet walk, we study the accumulation of its normalized center<br>of mass and identify an asymptotic helical structure arising from<br>Euler--Maclaurin summation.</p> <p>Within this framework, zeta zeros are characterized by the disappearance of<br>leading residual wobble in the center-of-mass evolution.</p> <p>Analyzing the induced wobble dynamics, we decompose the forcing into symmetric<br>and asymmetric components and show that the asymmetric contribution vanishes only<br>on the critical line </p> <p>Re(s)=1/2.</p> <p>This yields a geometric rigidity mechanism linking the absence of residual wobble<br>to critical-line localization of nontrivial zeros.</p>