Comment on "Hamiltonian for the Zeros of the Riemann Zeta Function"

TL;DR

This paper critically evaluates a proposed Hamiltonian approach to the Riemann Hypothesis, arguing that the strategy outlined by Bender, Brody, and Müller is flawed and does not constitute a proof.

Contribution

It provides a critical analysis showing that the previously proposed Hamiltonian strategy for proving the Riemann Hypothesis is ineffective.

Findings

The proposed Hamiltonian approach does not successfully prove the Riemann Hypothesis.

The authors identify specific flaws in the original strategy.

The critique clarifies limitations of the Hamiltonian method in this context.

Abstract

This comment about the article "Hamiltonian for the Zeros of the Riemann Zeta Function", by C. M. Bender, D. C. Brody, and M. P. M\"uller, published recently in Phys. Rev. Lett. (Phys. Rev. Lett., 118, 130201, (2017)) gives arguments showing that the strategy proposed by the authors to prove the Riemann Hypothesis, does not actually work.