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May 15, 2026Open Access

A Geometric Proof of the Riemann Hypothesis via a Two-Frequency Spherical Helical Topology

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Authors

LWLixin WangElectric Power University

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Implication

Randomized trial presents a geometric proof of the Riemann Hypothesis, suggesting novel approaches to prime distribution.

Key Points

  • This work aims to provide a geometric proof of the Riemann Hypothesis using classical geometric elements.
  • Utilized a two-frequency spherical helical topology with a frequency ratio of 1/2.
  • Analyzed the geometric properties of the Riemann zeta function on the complex plane.
  • Confirmed findings through numerical verification, including Euler decomposition.
  • Confirmed that all non-trivial zeros of ζ(s) lie on the critical line Re(s) = 1/2.
  • Demonstrated that arc accumulation vanishes at the geometric poles of the closed sphere where ζ(s) = 0.
  • Provided numerical precision for related functions, confirming their alignment with known values.

Cite This Study

Lixin Wang (2026) studied this question.

synapsesocial.com/papers/6a06b998e7dec685947ac604https://doi.org/10.5281/zenodo.20162978
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Also Consider

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

  1. 1A Geometric Proof of the Riemann Hypothesis: Spherical Helix, Maxwell's Equations, and the Left-Right Mirror Structure of ζ Zeros2026
  2. 2Geometric Proof of the Riemann Hypothesis via D₆ Lattice Symmetry / Critical-Line Theorem: The Field Where One Divides into Two—The Substrate Containing All Things2026
  3. 3Reading ζ as a Geometric Object: A Proof of the Riemann Hypothesis (Integrated Version)2026
  4. 4三维复数中的黎曼ζ函数⼏何稳定性框架 基于诱导度规流形的归谬法证明Geometric Stability Framework for the Riemann Zeta Function in 3D Complex Numbers A Proof by Contradiction via Induced-Metric Manifolds2026
  5. 5The Riemann Hypothesis as Fixed-Point Theorem on S²2026