Contextuality, Incompatibility, and Intra-System Entanglement of Mental Markers

TL;DR

This paper develops a quantum-informational model of mental markers as structured quantum-like states and analyzes the nonclassical correlations between their cognitive and affective components using the Contextuality-Incompatibility-Entanglement triad.

Abstract

Over the past two decades, quantum-like modeling (QLM) has emerged as a powerful framework for describing non-classical features of cognition and decision-making. Rather than assuming physical quantum processes in the brain, QLM employs the Hilbert space formalism to model contextuality, incompatibility of mental observables, and entanglement-like correlations. In this paper, we develop a quantum-informational model of mental markers within the broader I-field (information field) approach. We propose that, under conditions of information overload and limited cognitive resources, individuals primarily respond not to detailed semantic content but to compact content labels - mental markers - carrying cognitive and affective components. We formalize mental markers as structured quantum-like states and analyze the nonclassical correlations between their cognitive and affective components using the Contextuality-Incompatibility-Entanglement triad. Special attention is given to intra-system entanglement between rational (cognitive) evaluation and emotional (affective) coloring, accounting for context-dependent judgments, order effects, and affect-driven decision shifts. Illustrative examples with psychological interpretation and experimental perspectives are provided. An Appendix briefly discusses neurobiological analogues of information overload in neural networks, highlighting structural parallels with the proposed marker-based framework; coupling to the origin and diagnostics of neurological diseases is analyzed. The paper contributes to QLM by distinguishing inter-system and intra-system entanglement and by demonstrating that cognitive - affective entanglement constitutes a fundamental structural feature of mental markers in socially mediated information environments.

Figures (3)

• Figure 1: 2D circle representing in-plane photon polarizations. Linear polarizations: horizontal ($\lvert H \rangle$) and vertical ($\lvert V \rangle$); diagonal polarizations: diagonal ($\lvert D \rangle$) and anti-diagonal ($\lvert A \rangle$). Blue arrows indicate superpositions from the center toward the diagonal directions.
• Figure 2: Circumplex model of emotions. Horizontal axis: valence (negative to positive); vertical axis: arousal (low to high). Blue arrows indicate positions of example emotions: high-arousal positive (excited/joy), high-arousal negative (angry/fear), low-arousal positive (calm/content), low-arousal negative (sad/bored).
• Figure 3: Illustration of the difference between social cohesion (left) and social coherence (right). On the left, cohesion is shown as dots clustered together (bound by a dashed circle). On the right, coherence is shown as arrows pointing in aligned directions from a common center (like phase-synchronized emission in a laser).