Constraint-Geometric Theory of Cognition
Constraint-Geometric Theory of Cognition A Structural Field Theory of Intelligence, Meaning, and Epistemic Collapse I. FOUNDATIONS Introduction to Constraint Geometry Cognition as topological motion; constraint as primary substrate. Why Cognition Is Not Computation From symbol manipulation to admissibility transport. The Cognitive Manifold (ℂ_cog) Definition, structure, and curvature properties of the constraint space. Inference as Geodesic Flow Admissible recursion, compression dynamics, and inference energy. II. FIELD COMPONENTS AND STRUCTURAL AXIOMS Curvature, Collapse, and Constraint Limits χₛ, ∂ℂ_cog, ψ⊥: Geometry of success and failure in cognitive systems. The Boundary Axioms (BA) Formal schema governing saturation, bifurcation, and termination. Semantic Topology and Telic Stability Meaning as curvature coherence across recursive transitions. Entropy and Cognitive Degeneracy Failure modes, loop collapse, and epistemic noise dynamics. III. DIAGNOSTIC STRUCTURES Boundary Condition...