The Carlo Field — Complete Cognitive Geometry Framework (v2.0)

Version 2.0 presents the fully structured and mathematically formal edition of the Carlo Field geometry cluster. This release brings together the six cognitive geometries—Drift, Distortion, Fracture, Fusion, Interference, and Emergence—into a single, consistent, multichapter document with unified notation and clearly defined operator families. The edition introduces formal manifold topology for the Context Field, anchor potential wells, resonance orbit structures, and noise perturbation models. Each geometry is expressed with governing equations, including drift vector fields, distortion tensors, domain isolation operators, recombination integrals, interference intensity fields, and emergence thresholds. Version 2.0 establishes a complete mathematical backbone for the geometry cluster, transforming it from conceptual descriptions into a fully formal cognitive geometry subsystem suitable for theoretical research, computational modeling, and engine development. This edition serves as the canonical reference for this set of geometries. Contains a GUCGF Visualiser to accompany the document Contact: For enquiries or research questions related to this work, email [email protected]