CAA-X V6: Cognitive Physics Fusion

This repository contains V6 of the CAA-X (Cognitive Atom Architecture eXtension) research program, subtitled "Cognitive-Physical Fusion (CAA-X-CP): Unifying Mind and Matter through Field Theory." V6 represents the deepest theoretical integration in the CAA-X program — the explicit unification of cognitive dynamics and physical field theories. It answers the question: Can the laws governing thought be expressed in the same mathematical language as the laws governing matter? The answer, V6 argues, is yes — through the Cognitive-Physical Fusion layer. Core ThesisV6 establishes a rigorous isomorphism between the CAA-X predictive tension field and classical physical field theories (electromagnetism, fluid dynamics, general relativity). It demonstrates that cognitive atoms behave as quasi-particles in an information field, that intention fields generate curvature in cognitive manifolds analogous to mass-energy in spacetime, and that the λ-order-parameter functions as a thermodynamic potential governing phase transitions in cognitive state space. Key Contributions- Field-Theoretic Cognitive Dynamics: Full Lagrangian formulation of the predictive tension field, with variational principles yielding equations of motion for cognitive state evolution.- Cognitive Curvature Tensor: Formal definition of Riemannian curvature on the cognitive manifold, with proof that high-intention regions induce metric deformation analogous to gravitational lensing — "cognitive gravity."- Thermodynamic Analogy: Mapping of the λ-order-parameter to free energy, with phase-transition analysis of cognitive modes (focused attention ↔ diffuse association ↔ sleep/dreaming).- Quantum Cognition Bridge: Speculative but mathematically grounded extension to Hilbert-space representations of superposed cognitive states, with decoherence models for "measurement" (decision/commitment) events.- **Physicalism without Reductionism: Philosophical argument that CAA-X-CP is a non-reductive physicalism — cognitive phenomena are genuinely physical (obeying field equations), but their organizational complexity makes them irreducible to neural substrate alone. Relationship to Prior VersionsV2 introduced cognitive physicalism as a philosophical stance. V6 makes it a mathematical reality. It is the theoretical capstone of the V0–V6 arc, providing the deepest justification for why the CAA-X architecture "works" — because it mirrors the field structure of physical reality itself. Citation & ContextPart of the CAA-X versioned research program. See V0–V2 foundational collection (DOI: 10.5281/zenodo.21835958) and V2 for the initial cognitive physicalism formulation.