Quantum-Gravitational Foundations of Intelligence: A Unified Field Theory of Entropic Computation

Intelligence is defined as a non-equilibrium thermodynamic process, characterized by the acquisition of free energy to minimize internal informational entropy (argmin_ψ). We formalize this process within a semi-classical field theory, deriving a profound and direct isomorphism between computational optimization and the geometric flow of spacetime entropy. By synthesizing non-equilibrium gravitational thermodynamics, Quantum Field Theory in Curved Spacetime (QFTCS), and Information Geometry, we establish that efficient cognition is a curvature-sensitive phenomenon governed by a unified physical speed limit. We present two primary theoretical results: (1) The entropic current J_S^μ is fundamentally proportional to the gradient of the Ricci scalar R (J_S^μ∝-∇_μ R), mandating that local entropy reduction (quantum ordering) is a curvature-driven geometric process. (2) The minimization of the Entropic Action (S_ent) in generalized gravity is mathematically equivalent to the minimum-dissipation trajectory required by stochastic thermodynamics, specifically the Natural Gradient Flow (NGF). This framework establishes the foundational geometric constraint (Equation 4) necessary for physically mandated optimal computation.