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On the cognitive experiments to test quantumlike behaviour of mind. quantph/0205092
"... We describe cognitive experiments (based on interference of probabilities for mental observables) which could verify quantumlike structure of mental measurements. In principle, such experiments can be performed in psychology, cognitive, and social sciences. Recently one of such experiments (describ ..."
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Cited by 18 (10 self)
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We describe cognitive experiments (based on interference of probabilities for mental observables) which could verify quantumlike structure of mental measurements. In principle, such experiments can be performed in psychology, cognitive, and social sciences. Recently one of such experiments (described in the first version of the preprint) based on recognition of images was performed. It confirms our prediction on quantumlike behaviour of mind. In fact, the general contextual probability theory predicts not only quantumlike trigonometric (cos θ) interference of probabilities, but also hyperbolic (cosh θ) interference of probabilities (as well as hypertrigonometric). In principle, statistical data obtained in experiments with cognitive systems can produce hyperbolic (cosh θ) interference of probabilities. At the moment there are no experimental confirmations of hyperbolic interference for cognitive systems. We introduce a wave function of (e.g., human) population. This function could be reconstructed on the basis of statistical data for two incompatible observables. In general, we should not reject the possibility that cognitive functioning is neither quantum nor classical. We discuss the structure of state spaces for cognitive systems.
Nonlinear brain dynamics as macroscopic manifestation of underlying manybody dynamics
, 2006
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Quantumlike brain: ”Interference of minds
 Biosystems
"... We present a general contextualistic statistical model for constructing quantumlike representations in physics, cognitive and social sciences, psychology, economy. In this paper we use this model to describe cognitive experiments (in particular, in psychology) to check quantumlike structures of me ..."
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Cited by 8 (3 self)
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We present a general contextualistic statistical model for constructing quantumlike representations in physics, cognitive and social sciences, psychology, economy. In this paper we use this model to describe cognitive experiments (in particular, in psychology) to check quantumlike structures of mental processes. The crucial role is played by interference of probabilities corresponding to mental observables. Recently one of such experiments based on recognition of images was performed. This experiment confirmed my prediction on quantumlike behaviour of mind. We present the procedure of constructing the wave function of a cognitive context on the basis of statistical data for two incompatible mental observables. We discuss the structure of state spaces for cognitive systems. In fact, the general contextual probability theory predicts not only quantumlike trigonometric (cos θ) interference of probabilities, but also hyperbolic (cosh θ) interference of probabilities (as well as hypertrigonometric). In principle, statistical data obtained in experiments with cognitive systems can produce hyperbolic (cosh θ) interference of probabilities. At the moment there are no experimental confirmations of hyperbolic interference for cognitive systems.
НАУЧНОТЕХНИЧЕСКАЯ КОНФЕРЕНЦИЯ
"... В книге публикуются тексты лекций, прочитанных на Школесеминаре ..."
КОНФЕРЕНЦИЯ ЛЕКЦИИ ПО НЕЙРОИНФОРМАТИКЕ
"... В книге публикуются тексты лекций, прочитанных на Школесеминаре ..."
The Brain as Quantumlike Machine Operating on Subcognitive and Cognitive Time
, 2008
"... We propose a quantumlike (QL) model of the functioning of the brain. It should be sharply distinguished from the reductionist quantum model. By the latter cognition is created by physical quantum processes in the brain. The crucial point of our modelling is that discovery of the mathematical formal ..."
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We propose a quantumlike (QL) model of the functioning of the brain. It should be sharply distinguished from the reductionist quantum model. By the latter cognition is created by physical quantum processes in the brain. The crucial point of our modelling is that discovery of the mathematical formalism of quantum mechanics (QM) was in fact discovery of a very general formalism describing consistent processing of incomplete information about contexts (physical, mental, economic, social). The brain is an advanced device which developed the ability to create a QL representation of contexts. Therefore its functioning can also be described by the mathematical formalism of QM. The possibility of such a description has nothing to do with composing of the brain of quantum systems (photons, electrons, protons,...). Moreover, we shall propose a model in that the QL representation is based on conventional neurophysiological model of the functioning of the brain. The brain uses the QL rule (given by von Neumann trace formula) for calculation of approximative averages for mental functions, but the physical basis of mental functions is given by neural networks in the brain. The QL representation has a temporal basis. Any cognitive process is based on (at least) two time scales: 1 subcognitive time scale (which is very fine) and cognitive time scale (which is essentially coarser). 1
Brain as quantumlike computer
, 2008
"... We present a contextualist statistical realistic model for quantumlike representations in physics, cognitive science and psychology. We apply this model to describe cognitive experiments to check quantumlike structures of mental processes. The crucial role is played by interference of probabilities ..."
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We present a contextualist statistical realistic model for quantumlike representations in physics, cognitive science and psychology. We apply this model to describe cognitive experiments to check quantumlike structures of mental processes. The crucial role is played by interference of probabilities for mental observables. Recently one of such experiments based on recognition of images was performed. This experiment confirmed our prediction on quantumlike behaviour of mind. In our approach “quantumness of mind ” has no direct relation to the fact that the brain (as any physical body) is composed of quantum particles. We invented a new terminology “quantumlike (QL) mind.” Cognitive QLbehaviour is characterized by nonzero coefficient of interference λ. This coefficient can be found on the basis of statistical data. There is predicted not only cos θinterference of probabilities, but also hyperbolic cosh θinterference. This interference was never observed for physical systems, but we could not exclude this possibility for cognitive systems. We propose a model of brain functioning as QLcomputer (there is discussed difference between quantum and QL computers).