Elio Conte
School of Advanced International Studies for Applied Theoretical and non Linear Methodologies of Physics Italy
Orlando Todarello
School of Advanced International Studies for Applied Theoretical and non Linear Methodlogies of Physics Italy
Antonio Federici
School of Advanced International Studies for Applied Theoretical and non Linear Methodlogies of Physics Italy
Nunzia Santacroce
School of Advanced International Studies for Applied Theoretical and non Linear Methodlogies of Physics Italy
Vincenza Laterza
School of Advanced International Studies for Applied Theoretical and non Linear Methodlogies of Physics Italy
Andrei Khrennikov
School of Advanced International Studies for Applied Theoretical and non Linear Methodlogies of Physics Sweden
International Center for Mathematical Modeling in Physics and Cognitive Sciences Linnaeus University, S-35195, Växjö, Sweden. Institute of Information Security
Russian State University for Humanities, Moscow, Russia
May We Verify Non-Existing Dispersion Free Ensembles By Application of Quantum Mechanics in Experiments at Perceptive and Cognitive Level?
Elio Conte, Orlando Todarello, Antonio Federici, Nunzia Santacroce, Vincenza Laterza, Andrei Khrennikov
Abstract
Von Neumann in 1932 was the first to outline the possible non-existence of dispersion free ensembles in quantum mechanics, and he used this basic evidence to give a preliminary proof on incompatibility between quantum mechanics and local hidden variables theory. In the present paper, we give a detailed theoretical elaboration on the manner in which such a fundamental subject could be explored at perceptive and cognitive levels 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.