Aequitas Theory: A Mathematical Framework of Equilibrium and Triadic Logic

Aequitas Theory introduces a system that evaluates mathematical statements through balance. Each statement has two components, and their weighted difference determines whether it is Balanced, Dominant, or Void. This creates a triadic logic that extends classical logic with a focus on equilibrium. The theory defines a dominance function, formal operations, and several supporting theorems, making the framework consistent and computable. It offers a structured way to study fairness, interaction, and weighted comparison in mathematical systems.