What question did this study set out to answer?

This work aims to reconstruct the spectral structure linked to the non-trivial zeros of the Riemann zeta function from integer prime decomposition.

May 16, 2026Open Access

Toward a Dynamical Reconstruction of the Riemann Critical Line

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Randomized trial explores spectral structure in integers, suggesting a new perspective on the Riemann Hypothesis.

This work aims to reconstruct the spectral structure linked to the non-trivial zeros of the Riemann zeta function from integer prime decomposition.
Introduced a recursive multiplicative framework based on prime decomposition.
Developed a regularized multiplicative detector to generate spectral components from logarithmic prime frequencies.
Utilized numerical experiments to investigate persistent resonances near Riemann zero frequencies.
Established that the critical line Re(s)=1/2 acts as an asymptotically stable equilibrium in the recursive dynamics.
Identified a conjectural relationship between the stable measure and the spectral measure generated by Riemann zeros.
Demonstrated weak distributional convergence and spectral stabilization through the proposed framework.

Thoria Bensalah (2026) studied this question.

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May 16, 2026Open Access

View Full Paper

Ask AI

Bookmark

Authors

Randomized trial explores spectral structure in integers, suggesting a new perspective on the Riemann Hypothesis.

This work aims to reconstruct the spectral structure linked to the non-trivial zeros of the Riemann zeta function from integer prime decomposition.
Introduced a recursive multiplicative framework based on prime decomposition.
Developed a regularized multiplicative detector to generate spectral components from logarithmic prime frequencies.
Utilized numerical experiments to investigate persistent resonances near Riemann zero frequencies.
Established that the critical line Re(s)=1/2 acts as an asymptotically stable equilibrium in the recursive dynamics.
Identified a conjectural relationship between the stable measure and the spectral measure generated by Riemann zeros.
Demonstrated weak distributional convergence and spectral stabilization through the proposed framework.

Thoria Bensalah (2026) studied this question.

View Full Paper

Ask AI

Bookmark