Methodological Prelude to Affective Mathematical Science: Philosophical and Mathematical Foundations of Gamma Theory v1–v20

This paper presents the methodological prelude to Affective Mathematical Science, integrating the philosophical and mathematical foundations of Gamma Theory from versions v1 to v20. It formalizes core concepts such as the Egg Equation, Emotional Tensor, Effective Existence, and Emotional Curvature, and establishes the structural basis for future applications in law, social systems, and engineering. The discipline is officially named Affective Mathematical Science, with the Aphrodite Equation used as a symbolic nickname. A conceptual thought experiment is included to illustrate the theoretical boundary of the system, anticipating formal unification in version v30.