Mathematical Formalization of Human–AI Cognitive Resonance: Structural Coupling and Externalized Executive Function

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1. Verfasser: Kimura, Hinano
Format: Recurso digital
Sprache:Englisch
Veröffentlicht: Zenodo 2026
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author Kimura, Hinano
author_facet Kimura, Hinano
contents <p>This paper presents a minimal mathematical and structural formalization of cognitive resonance emerging through sustained human–AI interaction. The purpose of this formalization is not prediction, optimization, or empirical measurement, but the stabilization of a shared structural vocabulary for describing dialogic cognitive coupling.</p> <p> </p> <p>Human and AI cognitive states are modeled as abstract elements projected into a structure-only space, allowing resonance to be defined independently of semantic agreement, task success, or evaluative criteria. AI is formally described as an externalized executive operator, preserving and reconfiguring cognitive structure without performing judgment or decision-making.</p> <p> </p> <p>The formalism is intentionally incomplete and non-metric. Its role is descriptive rather than explanatory, providing a scaffold that preserves structural relations across dialogic time and supports subsequent theoretical extension.</p>
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spellingShingle Mathematical Formalization of Human–AI Cognitive Resonance: Structural Coupling and Externalized Executive Function
Kimura, Hinano
human–AI interaction
cognitive resonance
structural coupling
externalized executive function
non-metric formalization
dialogic interaction
extended cognition
<p>This paper presents a minimal mathematical and structural formalization of cognitive resonance emerging through sustained human–AI interaction. The purpose of this formalization is not prediction, optimization, or empirical measurement, but the stabilization of a shared structural vocabulary for describing dialogic cognitive coupling.</p> <p> </p> <p>Human and AI cognitive states are modeled as abstract elements projected into a structure-only space, allowing resonance to be defined independently of semantic agreement, task success, or evaluative criteria. AI is formally described as an externalized executive operator, preserving and reconfiguring cognitive structure without performing judgment or decision-making.</p> <p> </p> <p>The formalism is intentionally incomplete and non-metric. Its role is descriptive rather than explanatory, providing a scaffold that preserves structural relations across dialogic time and supports subsequent theoretical extension.</p>
title Mathematical Formalization of Human–AI Cognitive Resonance: Structural Coupling and Externalized Executive Function
topic human–AI interaction
cognitive resonance
structural coupling
externalized executive function
non-metric formalization
dialogic interaction
extended cognition
url https://doi.org/10.5281/zenodo.18504398