2008/06/23 by Segre, Gavriel
#FOS: Physical sciences #General Physics (physics.gen-ph)
paper · doi:10.48550/arxiv.0806.3667
It is shown that, since an ultrafilter over an operator-algebraically finite (i.e. isomorphic to the lattice of projectors of a finite Von Neumann algebra) quantum logic is not necessarily principal, Arrow's Impossibility Theorem doesn't extend to the quantum case.