The Deep Conceptual Manifold develops a structural account of how human meaning arises from the projection of language onto an underlying relational manifold. Rather than treating concepts as mental entities or linguistic abstractions, the paper frames them as locations within a shared conceptual topology — positions stabilized by use, relation, and continuation. The paper argues that languages do not merely label the world; they shape the manifold of possible meaning by carving stable pathways of inference, analogy, and differentiation. Conceptual structures emerge not from individual cognition but from the collective continuation of linguistic practice across generations. By modeling concepts as manifold coordinates rather than discrete definitions, the paper explains why different languages partition reality differently, why translation is structurally constrained, and why deep disagreements persist even when surface terms align. The result is a unified account of meaning, projection, and conceptual stability across linguistic, cultural, and cognitive systems.
Denis Bailey (Mon,) studied this question.