What does this research mean for the field?

Self-reference and interpretive meaning can be mathematically formalized as a differential geometry in which a coherence field curves an observer's intrinsic manifold, creating a causal loop that defines self-directing agency. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

Formulate a differential geometric field theory of self-reference to model how interpretive meaning is generated, maintained, and shared across independent observers.

August 30, 2026Open Access

Semantic Relativity: The Differential Geometry of Self-Reference

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Formulate a differential geometric field theory of self-reference to model how interpretive meaning is generated, maintained, and shared across independent observers.
Constructed a theoretical framework grounded in seven constitutive axioms and a four-term Lagrangian balancing coherence flow, attractor binding, autopoietic generation, and intrinsic regulation.
Derived three coupled field equations closing a causal loop between coherence flow and manifold curvature across one-, two-, and three-dimensional configurations.
Closed a self-referential causal loop in which coherence flow curves an observer's semantic manifold, which subsequently conditions ongoing coherence flow.
Identified five necessary and sufficient criteria for self-directing agency alongside twelve signatures of agency maintenance disequilibria.
Showed that iterated coupling drives independent, frame-dependent observer metrics toward consensus on shared invariant structures, achieving geometric closure at three dimensions.

Authors

DBDiesel Black

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Implication

Theoretical analysis reveals a geometric field theory of self-referential meaning, indicating that shared invariant structures emerge from independently curved observer manifolds.

Cite This Study

Diesel Black (2026) studied this question.

synapsesocial.com/papers/6a93f0a36c1a8fb52e79cdb3 https://doi.org/10.5281/zenodo.22135563

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Implication

Theoretical analysis reveals a geometric field theory of self-referential meaning, indicating that shared invariant structures emerge from independently curved observer manifolds.

Semantic Relativity: The Differential Geometry of Self-Reference

Key Points

Discussion

Implication

Cite This Study

Semantic Relativity: The Differential Geometry of Self-Reference

Key Points

Discussion

Implication

Cite This Study