Cognitive Wave Dynamics: A Physics-Based Foundation for Interpretable AI and Unified Cognition

This research paper introduces Cognitive Wave Dynamics (CWD), a novel physics-based framework for modeling cognition and artificial intelligence as continuous stochastic wave phenomena governed by high-dimensional Stochastic Partial Differential Equations (SPDEs). It offers a unified theoretical foundation, the Unified Cognition Theory (UCT), with interpretable mathematical components that embed momentum, memory, and ethical constraints into AI models. The framework addresses the interpretability and alignment challenges faced by current opaque AI architectures by proposing geometric alignment in a potential energy landscape. It links principles from wave mechanics, neuroscience, and philosophy of mind to develop structurally auditable and safe cognitive systems. The paper outlines the theoretical models, emergent dynamics, neuroscience parallels, and practical implementation steps toward a new class of transparent, controllable artificial general intelligence.