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Andrei Yuri Khrennikov

Publications and source records attributed to Andrei Yuri Khrennikov.

4 recordsLinked to original sources
arXiv2012

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.

physics.gen-ph↗
arXiv2009

Mental states follow quantum mechanics during perception and cognition of ambiguous figures

Processes undergoing quantum mechanics, exhibit quantum interference effects. In this case quantum probabilities result to be different from classical probabilities because they contain an additional main point that in fact is called the quantum interference term. We use ambiguous figures to analyse if during perception cognition of human subjects we have violation of the classical probability field and quantum interference. The experiments, conducted on a group of 256 subjects, evidence that we have such quantum effect. Therefore, mental states, during perception cognition of ambiguous figures, follow quantum mechanics

physics.gen-ph↗
arXiv2008

On the Existence of Quantum Wave Function and Quantum Interference Effects in Mental States: An Experimental Confirmation during Perception and Cognition in Humans

We introduce the quantum theoretical formulation to determine a posteriori, if existing, the quantum wave functions and to estimate the quantum interference effects of mental states. Such quantum features are actually found in the case of an experiment involving the perception and the cognition in humans. Also some specific psychological variables are introduced and it is obtained that they characterize in a stringent manner the quantum behaviour of mind during such performed experiment.

physics.gen-ph↗