I have been reading and would be interested in feedback to the comments that I make, below. One of the points made in this paper is that the interpretation of the uncertainty relation needs to be re-examined in its relation to the viability of having simultaneous measurements of A & B. For example, α(A)>0, or not, regardless of whether A & B are simultaneously measurable, and is the standard deviation of the possible outcomes of the operator A. So, this does not seem relevant to A & B being simultaneously measurable. The paper also references and outlines von Neumann's proof that if A & B are simultaneously measurable, then [A,B]=0 . However, the proof makes the assumption that every observable corresponds to an operator, which validity the authors question. Finally, the authors construct counter-examples to von Neumann's theorem, thus showing the inconsistency of the quantum mechanics postulates. I have worked through one of the counter examples (the one using Pauli spin matrices), but I am not convinced, as only a small set of states is considered, rather than an arbitrary state.