Volume 10 No 1 (2012)
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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 and Andrei Yuri 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.
Keywords
application of quantum mechanics, psychology, neuroscience, dispersion free ensembles, quantum cognition, quantum contextuality, language analysis
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