A Proof of the Riemann Hypothesis Based on the Zhu-Liang Truth Function Theorem
Abstract
We present a proof of the Riemann Hypothesis based on the Zhu-Liang Truth Function Theorem, which establishes that truth necessarily takes the form of a function $T:\Sigma\to R$ with causality (determinism), self-consistency (no paradox), and the principle that entropy reduction is the ultimate mission. The Riemann zeta function $\zeta(s)$ is a specific projection of this truth function in number theory, inheriting its core properties. By analyzing the symmetry imposed by the functional equation and invoking the entropy reduction principle, we demonstrate that all non-trivial zeros of $\zeta(s)$ must lie on the critical line $\Re(s)=1/2$. The proof is absolute, independent of any external mathematical assumptions or empirical evidence, and relies solely on the meta-logical framework of the Zhu-Liang Truth Function Theorem.
Fields of Study & Subjects
Analytic Number Theory Research
Mathematical and Theoretical Analysis
Smarandache Functions and Recreational Number Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 February 2026
- Language
- CMN
- Document type
- Preprint