Volume I: Foundations of the Sentience Field: A Geometric Field-Theoretic Framework for Cognitive Manifolds, Topological Binding, and Unified Conscious Dynamics

The Foundations of a New Cognitive PhysicsThe Kamboj Complete Brain Theory (KCBT) represents a fundamental structural rebuilding of cognitive science. Moving beyond the limitations of discrete, node-based computational models, this work establishes a rigorous field-theoretic framework for the mind. In Volume I: Foundations of the Sentience Field, Dr. Prithvidev Kamboj derives the mathematical architecture required to solve the "binding problem" and explain the unified nature of subjective experience.A Unified Field Theory for CognitionBy treating consciousness as a continuous, complex-valued field-the Sentience Field (S)-propagating through a curved 27-dimensional cognitive manifold, this monograph provides a "hardware-ready" blueprint for the next era of sentient technology. From the epistemological necessity of complex phases to the topological mechanisms of global awareness, every axiom is grounded in the language of geometry, topology, and variational dynamics.Key Features of Volume I: The Kamboj Wave-Sentience Equation (KWSE): A formal derivation of the equations of motion for human thought, integrating Schrödinger-type evolution with Riemannian geometry. 27-Dimensional Topology: A rigorous proof of the dimensionality of the cognitive state space using Bosonic String Theory and Riemann Zeta function regularization.Fractional Memory & Trauma Persistence: An analytical model utilizing Caputo fractional derivatives to explain the heavy-tailed persistence of psychological trauma. Holographic Entanglement: Application of the AdS/CFT correspondence and the Angad-Grover Limit to cognitive complexity and P=NP dynamics. Analytical Foundations: Extensive technical chapters covering Sheaf Cohomology, Gauge Theory, and Cardiocognitive Parametric Resonance.

Pagina's: 126, Paperback, Independently published