May we verify non existing dispersion free ensembles by application of   quantum mechanics in experiments at perceptive and cognitive level?
  Von Neumann in 1932 was the first to outline the possible non existence of dispersion free ensembles in quantum mechanics, and he used also such basic evidence to give a preliminary proof on incompatibility between quantum mechanics and (non-contextual) hidden variables theory. In the present paper we give a detailed theoretical elaboration on the manner in which such fundamental subject could be explored at perceptive and cognitive level in humans. We also discuss a general design of the experiment that we have in progress so to give direct indications to other researchers engaged in such field. 
Elio Conte, Orlando Todarello, Antonio Federici, Nunzia Santacroce,   Vincenza Laterza, and Andrei Yuri Khrennikov
physics.gen-ph