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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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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.

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

Thoria Bensalah (2026) studied this question.

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