This paper introduces the concept of the Semantic Stress Field (SSF), a novel theoretical framework proposing that complex cognitive structures – specifically, the accumulation and interaction of semantic information – generate localized stress fields analogous to those in continuum mechanics. The core hypothesis is that areas of high semantic density, representing intricate conceptual relationships and layered knowledge, induce a concentration of "semantic stress." This SSF is not a physical stress in the traditional sense but a conceptual strain, impacting cognitive processes such as attention, memory, and decision-making. The paper outlines the theoretical underpinnings, including the relationship between knowledge complexity and SSF intensity, and explores potential mechanisms for stress release, drawing parallels with established stress release models in physics and psychology. Mathematical formulations are presented to quantify the SSF, utilizing concepts like strain, stress tensors, and divergence. The primary goal is to provide a foundational model for understanding the cognitive impact of semantic overload and to suggest new avenues for research into cognitive load, attention modeling, and the neural correlates of complex thought.