The Gyrocentrifical Equilibrium: The Spectrum of the Riemann Zeta Non-Trivial Zeros Function

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 $1/2$.