Tensional Interaction Operation: Theory, Applications, and Practical Examples

This project presents a novel arithmetic operation, the tensional interaction, defined as for real numbers with . The project includes a rigorous theoretical framework, detailed mathematical analysis, and a supplementary paper providing practical interpretations and numerous numerical examples across diverse domains, including finance, physics, economics, survey data, and social decision-making. The operation quantifies relative tension, discrepancy, or divergence between two variables, offering a versatile tool for modeling, analysis, and decision-making.