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The research aims to treat 'meaning' as a dynamical object with its own geometric properties and flow laws within a field-theoretic framework.

February 13, 2026Open Access

Semantic Gravitation IV: Semantic Fields on Spacetime Manifolds — An Effective Field Theory for Coherence

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Develops a covariant classical semantic field theory on spacetime manifolds, indicating new geometric insights into meaning.

The research aims to treat 'meaning' as a dynamical object with its own geometric properties and flow laws within a field-theoretic framework.
Extends the formalisms of previous papers to a covariant classical semantic field theory.
Models semantic fields as maps into a separable Hilbert space of states.
Derives the stress-energy tensor and energy balance relations under standard assumptions.
Establishes local well-posedness of the Cauchy problem.
Demonstrates spatially homogeneous solutions that link back to previous work.
Connects the semantic field framework to probabilistic and thermodynamic perspectives.

Gerrit Klawitter (2026) studied this question.

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