What question did this study set out to answer?

To establish a rigorous mathematical foundation for semiotics and communication between distinct biological, artificial, and textual entities using advanced geometry and intuitionistic logic.

August 19, 2026Open Access

The General Mathematical Foundations of Semiotics: Heyting Topologies, Categorical Topoi, and Relativistic Sign Fields

View Full Paper

Ask AI

Bookmark

Authors

JOJohn Leslie OwenFilm Independent

Discussion

Member takes

Implication

Theoretical study demonstrates a relativistic geometric framework for sign interpretation across cognitive systems, highlighting non-Boolean field dynamics in communication.

Key Points

To establish a rigorous mathematical foundation for semiotics and communication between distinct biological, artificial, and textual entities using advanced geometry and intuitionistic logic.
Synthesized category theory, sheaf theory over topological spaces, intuitionistic Heyting algebras, and pseudo-Riemannian differential geometry to model semiotic interaction.
Represented contextual interpretation and sign-action as stress-energy field distributions that deform metric tensors on latent cognitive manifolds.
Proved that semantic spaces naturally form a Heyting lattice of open sets where the Law of the Excluded Middle fails across non-empty semiotic boundaries.
Formulated an invariant geometric field equation relating manifold curvature to semiotic stress-energy distributions across biological nervous systems, silicon architectures, and texts.

Cite This Study

John Leslie Owen (2026) studied this question.

synapsesocial.com/papers/6a8563fe03308d306e2d77c7 https://doi.org/10.5281/zenodo.21982511

View Full Paper

Ask AI

Bookmark

Implication

Theoretical study demonstrates a relativistic geometric framework for sign interpretation across cognitive systems, highlighting non-Boolean field dynamics in communication.

The General Mathematical Foundations of Semiotics: Heyting Topologies, Categorical Topoi, and Relativistic Sign Fields

Discussion

Member takes

Implication

Key Points

Cite This Study

The General Mathematical Foundations of Semiotics: Heyting Topologies, Categorical Topoi, and Relativistic Sign Fields

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider