What does this research mean for the field?

A topological model of field interactions governed by non-classical logic, rather than a linear boolean model, is necessary in semiotics to accurately capture transformative communication between nonfungible entities and foster innovation. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

To establish a mathematical semiotics framework that replaces linear point-to-point communication models with topological field interactions governed by non-classical logic.

August 22, 2026Open Access

Manifesto of Mathematical Semiotics

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To establish a mathematical semiotics framework that replaces linear point-to-point communication models with topological field interactions governed by non-classical logic.
Conceptual mathematical synthesis integrating topology, field interaction theory, and semiotics.
Theoretical modeling of asymmetric interactions across diverse entities, including biological systems, silicon agents, and texts, using intuitionistic logic.
Linear planar models depend on simple probability structures that reinforce clichés and conventional consensus.
Topological field models preserve open possibility sets through non-classical logic, transforming participant states and prioritizing innovation over repetition.

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Implication

Theoretical analysis demonstrates topological field models surpass linear communication frameworks across complex entities, indicating non-classical logic drives novel discovery.

Cite This Study

John Leslie Owen (2026) studied this question.

synapsesocial.com/papers/6a895f62ca7ade938187e076 https://doi.org/10.5281/zenodo.22013819

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Implication

Theoretical analysis demonstrates topological field models surpass linear communication frameworks across complex entities, indicating non-classical logic drives novel discovery.

Manifesto of Mathematical Semiotics

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Implication

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Manifesto of Mathematical Semiotics

Key Points

Discussion

Implication

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