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This research aims to treat meaning as a dynamic object with its own structure and behavior, extending previous work on semantic gravitation.

February 13, 2026Open Access

Semantic Gravitation II: Semantic Field Dynamics and Free Energy

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Develops probabilistic methods to describe semantic dynamics, suggesting new insights in theoretical frameworks.

This research aims to treat meaning as a dynamic object with its own structure and behavior, extending previous work on semantic gravitation.
Developed a probabilistic framework for semantic dynamics using separable Hilbert spaces.
Modelled semantic fields as probability measures in Wasserstein space.
Formulated continuity- and Fokker-Planck-type evolution equations to describe dynamics.
Identified free-energy functionals as governing Lyapunov functions for dynamics.
Established connections between semantic field dynamics and optimal transport theories.
Identified free-energy functionals that reflect the stability of semantic dynamics.
Demonstrated how Fokker-Planck equations govern the evolution of semantic fields.

Gerrit Klawitter (2026) studied this question.

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