The Prime Gear Geometry (PGG) Resolution: The Mechanical and Signal Basis of the Riemann Hypothesis
Abstract
This study formalizes the Prime Gear Geometry (PGG) as a dynamical system. We demonstrate that the Riemann Hypothesis (RH) is not a static property of numbers, but a structural necessity of a rolling engine. We identify the $m$-cutoff as the "Mechanical Secret" that governs the transition between discrete prime forging (Time Domain) and spectral stability (Frequency Domain).
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Theories and Applications
Smarandache Functions and Recreational Number Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Preprint