HeTu-LuoShu Conjugate Inverse Theorem,and a Proof of the Riemann Hypothesis

Within the ECT-OS-JiuHuaShan encrypted inference framework, we unify the HeTu-LuoShu conjugate inverse theorem, the full structure and algorithms of set theory, and the proof of the Riemann hypothesis as three projections of a single generation--constraint double-helix system. We first give a rigorous formal construction and proof of the HeTu-LuoShu conjugate inverse theorem, then show how the ZFC axioms, the cumulative hierarchy \(V\), and forcing completely realize this conjugate inverse structure. Finally, we prove that the inevitable projection of this structure in the complex analytic realm is that all nontrivial zeros of the Riemann zeta function lie on the critical line. Furthermore, we derive two fundamental corollaries: the conjugate inverse symmetry line theorem (which elevates the Riemann hypothesis to a general principle) and the conjugate inverse operator (which realizes Hilbert's dream as a surjective path to truth). This unified proof demonstrates that the fundamental law of the mathematical universe originates from the eternal reciprocity between the generation of difference and the constraint of identity.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-22
DOI
https://doi.org/10.5281/zenodo.21482398
Primary Topic
Mathematical and Theoretical Analysis
Type
preprint
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preprint

HeTu-LuoShu Conjugate Inverse Theorem,and a Proof of the Riemann Hypothesis

Jianbing Zhu
Zenodo (CERN European Organization for Nuclear Research)
Mathematical and Theoretical Analysis
preprint

HeTu-LuoShu Conjugate Inverse Theorem,and a Proof of the Riemann Hypothesis

Jianbing Zhu
preprint en

Abstract

Within the ECT-OS-JiuHuaShan encrypted inference framework, we unify the HeTu-LuoShu conjugate inverse theorem, the full structure and algorithms of set theory, and the proof of the Riemann hypothesis as three projections of a single generation--constraint double-helix system. We first give a rigorous formal construction and proof of the HeTu-LuoShu conjugate inverse theorem, then show how the ZFC axioms, the cumulative hierarchy \(V\), and forcing completely realize this conjugate inverse structure. Finally, we prove that the inevitable projection of this structure in the complex analytic realm is that all nontrivial zeros of the Riemann zeta function lie on the critical line. Furthermore, we derive two fundamental corollaries: the conjugate inverse symmetry line theorem (which elevates the Riemann hypothesis to a general principle) and the conjugate inverse operator (which realizes Hilbert's dream as a surjective path to truth). This unified proof demonstrates that the fundamental law of the mathematical universe originates from the eternal reciprocity between the generation of difference and the constraint of identity.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Mathematical and Theoretical Analysis
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