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This research aims to prove the Riemann Hypothesis by interpreting the zeta function as a geometric object.

May 20, 2026Open Access

Reading ζ as a Geometric Object: A Proof of the Riemann Hypothesis (Integrated Version)

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Integrated proof identifies geometric characteristics of critical zeta zeros, suggesting a new approach to the Riemann Hypothesis.

This research aims to prove the Riemann Hypothesis by interpreting the zeta function as a geometric object.
Integrated proof using geometric identity of the zeta function.
Utilization of three-channel decomposition (tangential, radial, K-imbalance).
Construction of a five-step contradiction chain.
Establishes that the topology of the zeta function closes into a finite sphere at σ = 1/2.
Identifies non-trivial zeros as geometric vanishing points on the closed sphere.
Formalizes conclusion through positive-definite K-channel obstruction.

Lixin Wang (2026) studied this question.

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