A Proof of the Riemann Hypothesis Based on the Zhu-Liang Truth Function Theorem

Read full text
Authors: Jianbing Zhu
Cited by: 0

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