【英語版タイトル】 Gamma Theory v70-EX-1: Mathematical Psychology of Value–Recognition–Action — A Unified Mathematical Model of Subjective Dynamics

【英語版説明】This paper integrates Gamma Theory v1–v70 to establish a mathematical psychology of subjectivity centered on value (affect). The subjective state is represented by the state vector X(t) = (κ(t), Φ(t), A_y(t)) comprising affective curvature, semantic topology, and the Alice Deviation Number. The Alice Deviation Number A_y is defined both mathematically as A(G, κ) and operationally as |K| × |M - I| × |ε_ij|. Discrepancy ε = |A_y^expected - A_y^actual| defines recognition stability through its temporal evolution. Recognition mapping Ψ and action mapping Φ unify the flow from value to recognition to action. The theory describes phenomena similar to the Free Energy Principle (FEP) using control theory and Lyapunov analysis, establishing its uniqueness as an operator theory.