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March 1, 20260 citationsOpen Access

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

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JZJianbing zhu

Key Points

  • The aim is to provide a proof of the Riemann Hypothesis using the Zhu-Liang Truth Function Theorem.
  • Developed a framework based on the Zhu-Liang Truth Function Theorem.
  • Analyzed the properties of the Riemann zeta function.
  • Examined symmetry in relation to the functional equation.
  • Applied the principle of entropy reduction in the proof.
  • All non-trivial zeros of the Riemann zeta function lie on the critical line where the real part of s equals 1/2.
  • The proof is independent of external assumptions or empirical evidence.
  • Established that truth must conform to specific functions of causality and consistency.

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: R with causality (determinism), self-consistency (no paradox), and the principle that entropy reduction is the ultimate mission. The Riemann zeta function (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 (s) must lie on the critical line (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.

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Cite This Study

Jianbing zhu (2026) studied this question.

synapsesocial.com/papers/69a3d856ec16d51705d2f11chttps://doi.org/10.5281/zenodo.18795755
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A Proof of the Riemann Hypothesis via Reductio ad Absurdum and Symmetry Analysis2026
  2. 2Formal Proof of the Riemann Hypothesis via Unified Construct Theory: Technical Report2026
  3. 3Zhu-Liang Riemann Hypothesis Necessity Inference ——Based on the Qiankun Quantum Recurron Framework: Entropy Minimization in Causal Networks,isomorphic to the holistic approach of Perelman's proof of the Poincaré conjecture2026
  4. 4A Complete Proof of the Riemann Hypothesis within the Constraint Network Framework: Densification-Sparseification Contest and Five-Point Full Coverage2026
  5. 5The Riemann Hypothesis as a Necessary Consequence of Self-Consistency2026 · 3 citations