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This work aims to prove the Riemann hypothesis through the rigor of Yuan-Xian Theory's axioms.

April 23, 2026Open Access

Constructive Realization of the Arithmetic-Physical Correspondence: A Proof of the Riemann Hypothesis Based on the YuanXian Axiom System

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This work aims to prove the Riemann hypothesis through the rigor of Yuan-Xian Theory's axioms.
Constructive realization of a categorical functor
Mapping of linear vibration spectrum onto non-trivial zeros of the Riemann zeta function
Development of a machine-verifiable Lean 4 formal proof and Python numerical simulation
All non-trivial zeros are proven to be strictly locked on the critical line Re(s)=1/2.
Deviation from this line causes perturbations in energy density, impacting physical state.
The zero distribution regulates the fine-structure constant, creating a closed feedback mechanism.

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Demonstrates the Riemann hypothesis using the Yuan-Xian Theory, indicating new insights into number theory and physics.

Zhenyuan Acharya (2026) studied this question.

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