Number Theory

    

Proof of the Riemann Hypothesis via Energy Minimization

Authors: Lautaro Fesembeck

We model the distribution of nontrivial zeros of the Riemann zeta function through a dynamic equilibrium principle. By defining a disturbance field associated with prime distributions and constructing a corresponding global energy functional, we show that any deviation from the critical line Re(s) = 1/2 necessarily increases global energy. Through analysis of local perturbations, global independence, and symmetry properties implied by the functional equation of ζ(s), we demonstrate that only the critical line configuration minimizes total energy. This provides a new and rigorous resolution of the Riemann Hypothesis via energy minimization methods.

Comments: 10 Pages. Correspondence: lautaro.math@gmail.com

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[v1] 2025-04-28 20:15:27

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