Deterministic Mechanical Proofs for the Riemann Hypothesis and Prime Distribution
Abstract
This paper provides a rigorous mathematical-mechanical resolution to the Riemann Hypothesis, the Twin Prime Conjecture (H1 = 2), and the De Bruijn-Newman constant. Byformalizing the Helical Torsion Operator (Tˆ) within a self-organized Hamiltonian framework, we prove that stability requires Λ = 0 and σ = 1/2. We demonstrate that thevacuum fabric’s mechanical rigidity precludes the existence of Landau-Siegel zeros.
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
- 3 March 2026
- Language
- EN
- Document type
- Preprint