title: Quantum-like formalism for cognitive measurements.
abstract: We develop a quantum formalism (Hilbert space probabilistic calculus) for measurements performed over cognitive systems. In particular, this formalism is used for mathematical modelling of the functioning of consciousness as a self-measuring quantum-like system. By using this formalism, we could predict averages of cognitive observables. Reflecting the basic idea of neurophysiological and psychological studies on a hierarchic structure of cognitive processes, we use p-adic hierarchic trees as a mathematical model of a mental space. We also briefly discuss the general problem of the choice of an adequate mental geometry.
authors.affiliation: International Center for Mathematical Modeling in Physics and Cognitive Sciences, MSI, University of Växjö, S-35195 Växjö, Sweden. Andrei.khrennikov@msi.vxu.se
authors.forename: Andrei
authors.initials: A
authors.lastname: Khrennikov
mesh_terms: D003071:Cognition / Q000502:physiology; D003243:Consciousness / Q000502:physiology; D008960:Models, Psychological; D008962:Models, Theoretical