Description method of Unified Gradient-Driven Dynamics (proposal)

The Unified Gradient-Driven Dynamics framework provides a universal mathematical model for describing and predicting the behavior of systems across all domains — including physics, chemistry, biology, psychology, and economics. It is based on the principle that any displacement, variation, or disparity, represented as a gradient of a potential, will elicit a response to either reduce it (equilibration) or sustain/amplify it (resistance). The core equation applies from simple systems to complex hierarchical networks, where multiple gradient-response terms sum to form polynomial structures. By stripping away discipline-specific boundaries, this framework offers a single, coherent language for cross-disciplinary analysis, enabling deeper theoretical integration and practical application across the natural and social sciences.