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 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.

[1]  Elio Conte,et al.  Testing Quantum Consciousness , 2008 .

[2]  Peter Bruza,et al.  Quantum Logic of Semantic Space: An Exploratory Investigation of Context Effects in Practical Reasoning , 2005, We Will Show Them!.

[3]  A. Khrennikov,et al.  Probability amplitude in quantum like games , .

[4]  Andrei Khrennikov.  `Quantum probabilities' as context depending probabilities , 2001 .

[5]  Diederik Aerts,et al.  Why the Disjunction in Quantum Logic is Not Classical , 2000 .

[6]  John Woods,et al.  A Quantum Logic of Down Below , 2006 .

[7]  Andrei Khrennikov,et al.  On Relations Between Probabilities Under Quantum and Classical Measurements , 2002 .

[8]  N. Mermin.  Quantum mysteries revisited , 1990 .

[9]  Andrei Khrennikov.  V\"axj\"o interpretation-2003: realism of contexts , 2004 .

[10]  Joseph P. Zbilut,et al.  On the Existence of Quantum Wave Function and Quantum Interference Effects in Mental States: An Experimental Confirmation During Perception and Cognition in Humans , 2008 .

[11]  E. Conte.  A Reformulation of von Neumann’s Postulates on Quantum Measurement by Using Two Theorems in Clifford Algebra , 2010 .

[12]  Andrei Khrennikov,et al.  Nonclassical total probability formula and quantum interference of probabilities , 2002 .

[13]  J. Neumann.  Mathematical Foundations of Quantum Mechanics , 1955 .

[14]  J. Zbilut,et al.  A Conclusive Experimentation Evidences that Mental States Follow Quantum Mechanics. Further Experimentation Indicates that in Mind States Bell Inequality Violation is Possible , 2008, 0802.1835.