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Andrei Khrennikov

4 papers in the library · publishing 2003-2026

Papers

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Non-commutative structures of brain and cognition: quantum and contextual probability as a translational framework

Frontiers in Human Neuroscience July 17, 2026 Haruki Emori, Andrei Khrennikov, Atsushi Iriki

Cognitive neuroscience has accumulated robust findings (e.g., order effects in judgment, multi-path motor preparation, perceptual binding, attentional selection, and the recursive construction of self and time) that systematically resist explanation within classical probabilistic and causal frameworks. We argue that these are not anomalies but signatures of a deeper, non-commutative...

DOI: 10.3389/fnhum.2026.1882287 (opens in new tab) Probabilistic logic Sketch Cognition Population +8

A Path Integral Model of Cognition

arXiv (Cornell University) July 10, 2026 Haruki Emori, Kazunori Kondo, Atsushi Iriki et al. preprint

We develop the mathematical and physical formulation of cognitive cost optimization that underlies the path-integral model of consciousness. The goal-directed cognitive process is modeled as imaginary-time evolution (ITE) under a projector Hamiltonian that rewards configurations consistent with a target concept. We establish three results. First, this ITE coincides with a double-bracket flow...

Quantum-like formalism for cognitive measurements.

Bio Systems August 2003 Andrei Khrennikov

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...

Microscopic Physical Model for Elementary Consciousness in a Darwinian Approach to Quantum Mechanics

Carlos Baladrón, Andrei Khrennikov preprint

A physical model for phenomenological proto-consciousness as an intrinsic, primary property of matter is introduced. A fundamental particle is characterized as a classic-like system in physical space supplemented with an information space that endows the particle with the capacity of storing and processing incoming information which has causal power on the behaviour of the particle. These...