Kamboj Complete Brain Theory (KCBT): A Geometric, Dynamical, and Field-Theoretic Framework for Mind

Project Hub & Full Archive: https://osf.io/k3a9p/

Kamboj Complete Brain Theory develops a geometric and field-theoretic framework for modeling cognition as a continuous dynamical process rather than a purely discrete computational event. The manuscript treats awareness as a complex-valued sentience field evolving across a high-dimensional cognitive manifold, using tools from variational calculus, differential geometry, topology, stochastic dynamics, thermodynamics, information theory, and control theory. It derives a wave-sentience equation, hydrodynamic reductions, topological binding conditions, stress-energy bounds, memory persistence laws, and inference maps connecting latent cognitive states to observable neural signals. The work also introduces falsifiability conditions against Global Neuronal Workspace and Integrated Information Theory, while extending the framework toward synthetic cognition, ASI/JARVIS architecture, spin-foam completion, renormalization flow, and noise-limited coherence. Established mathematics, structured scientific analogy, and speculative unification are clearly separated, positioning KCBT as a formal research program for exploring consciousness, memory, attention, and autonomous intelligence through a unified mathematical language.