A Noncommutative Model of Meaning Generation: Δ, π₁, Representation Theory, and Curvature

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Contextual reversal, interiority, taboo dynamics, and humor in meaning generation operate as geometric effects arising from noncommutative loops and singularities in rationality space. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Shin Tamaki

doi:10.5281/zenodo.22178808

August 31, 2026Open Access

A Noncommutative Model of Meaning Generation: Δ, π₁, Representation Theory, and Curvature

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Key Points

To establish a noncommutative mathematical framework that accounts for the generation of meaning, context reversal, and related cognitive phenomena through geometric principles.
Constructed a theoretical model utilizing singularities within rationality space and fundamental-group (π₁) cycles.
Applied unitary representation theory and geometric curvature to formalize noncommutative loops in semantic transitions.
Demonstrated that contextual reversals, interiority, taboo dynamics, and humor can be modeled as geometric effects of noncommutative cycles.
Showed that curvature and topological singularities within rationality space systematically govern shifts in meaning.

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Implication

Theoretical analysis reveals meaning generation across cognitive spaces, indicating contextual reversal and humor emerge as geometric effects of noncommutative curvature.

Abstract

This paper presents a noncommutative model of meaning generation based on singularities in rationality space, fundamental-group cycles, unitary representations, and curvature. The framework explains contextual reversal, interiority, taboo dynamics, and humor as geometric effects arising from noncommutative loops.

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Shin Tamaki (2026) studied this question.

synapsesocial.com/papers/6a956cd5f20e493292a74e7a https://doi.org/10.5281/zenodo.22178808

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A Noncommutative Model of Meaning Generation: Δ, π₁, Representation Theory, and Curvature

Key Points

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A Noncommutative Model of Meaning Generation: Δ, π₁, Representation Theory, and Curvature

Key Points

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Implication

Abstract

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