The Gyrocentrifical Equilibrium: The Spectrum of the Riemann Zeta Non-Trivial Zeros Function
Abstract
This article explores the Prime Number Theorem and the Riemann Hypothesis through the lens of signal processing and periodical rotation. We propose that the critical line at $s = 1/2$ is not merely a geometric locus but a dynamic gyrocentrifical center. By applying Fourier analysis to the von Mangoldt function and the Zeta non-trivial zeros, we demonstrate how prime powers act as decaying harmonics and how the "swag" of the prime-counting error term maintains a stable orbit around the fundamental frequency state of $1/2$.
Fields of Study & Subjects
Analytic Number Theory Research
Mathematical Analysis and Transform Methods
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 6 March 2026
- Language
- EN
- Document type
- Preprint