Earlier this year (April 4, 2017), a seemingly tantalizing approach of the Riemann Hypothesis based on ideas dating back to Hilbert and Pólya by Bender, Brody and Müller was made publicly available. I remember having read a criticism thereof later, but remain ignorant of what happened since then. A quick googling only brings out blog articles that don't seem to give real news on its status. So, has the heuristics presented in the considered paper been comforted by some further work or not ?



Has there been further work on Bender-Brody-Müller approach to RH?
It seems the only development so far is a response from Bender, Brody and Müller from 18 May 2017 to Bellissard's criticism of their work, also to be found on arxiv: 


[Comment on 'Comment on "Hamiltonian for the zeros of the Riemann zeta function" '](https://arxiv.org/abs/1705.06767)


They seem to be addressing all the issues pointed out by Bellissard, although I don't know if it's to a satisfactory level.


