Work

The Metriplectic Attractor of the Riemann Hypothesis

Year: 2025

Type: article

Abstract: We propose a dynamical framework for the Riemann Hypothesis (RH) based on a “Generator–Filter” duality (Azari, 2025a). By interpreting the prime distribution as a local arithmetic generator (G) and the zeta zeros as a global spectral filter (F), we map the explicit formula onto a metriplectic dynamical system. We utilize a Weil-type energy functional to model the misalignment between these distributions. We demonstrate that under the assumption of Weil positivity, the critical line ℜ(s) = 1/2 corresponds to the unique global attractor of the system—a state of minimal energy dissipation. This formalism reinterprets the Riemann Hypothesis as a condition of dynamical stability.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.17665079

Author: Azari, Ehsan

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7106225776

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