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The aim is to provide an ontological proof of the Riemann Hypothesis using advanced mathematical models.

April 19, 2026Open Access

Ontological Proof of the Riemann Hypothesis Based on YD-T64 and the True-Circle Self-Consistency Axiom System

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The aim is to provide an ontological proof of the Riemann Hypothesis using advanced mathematical models.
Integrating the True-Circle Self-Consistency axiom system with the 64-dimensional compact torus model.
Modeling the universe as T^{64} = (S^1)^{64} based on holographic principles.
Applying axioms of closure, self-referential stability, and generative completeness to reconstruct the Riemann zeta function.
The Riemann zeta function is shown to be a self-referential harmonic operator on T^{64}.
The critical line Re(s) = 1/2 is proven to be the unique global attractor of the system.
Proving any deviation from the critical line violates fundamental properties of the model, supporting the validity of the Riemann Hypothesis.

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Demonstrates the Riemann Hypothesis using the True-Circle Axiom system in a 64-dimensional model, indicating a fundamental symmetry in the universe.

Zhenyuan Acharya (2026) studied this question.

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Demonstrates the Riemann Hypothesis using the True-Circle Axiom system in a 64-dimensional model, indicating a fundamental symmetry in the universe.