In the recent paper "Riemann Hypothesis as an Uncertainty Relation" (http://arxiv.org/abs/1304.2435) the author claims that the presence of zeros out of the critical line may lead to the violation of a Heisenberg-type uncertainty relation. Is that work a proof of Riemann's hypothesis?
The author is transforming the Riemann hypothesis into an equivalent mathematical problem that satisfies the same math as the uncertainty principle. Even if you could show that this leads to a violation of the uncertainty principle, it has nothing to say about the physical uncertainty principle. Math similarity does not imply causality (in the sense that the uncertainty principle (HUP) of physics is due to something related to the Rieman hypothesis) ,nor the other way around (use the validity of the HUP to prove the Riemann Hypothesis
No. He says his result may lead to a violation of the uncertainty relationship, not that it actually does.
I developed an algorithm that is based on uncertainty principle, the result is consistent with RH. The basic idea of the algorithm is representation of objects movement in space and time using two operators. I still can not answer the question whether this could prove RH.