AiSU Theory: Axiomatic Foundation for Meaning Generation and Output Structure

This paper presents the foundational axioms of AiSU theory—a unifying framework integrating meaning generation, structural modulation, and output behavior. AiSU theory is defined by six axioms, each describing core relationships between motivation (A), fluctuation (i), environmental structure (S(t)), and output (U(t)). These include the Existential Structure Axiom, Semantic Emergence Axiom, Structural Modulation Axiom, Output Uniqueness Axiom, External Pressure Axiom, and the Semantic Jump Axiom. Each axiom is formulated with mathematical expressions and interpreted in the context of dynamic meaning systems. The theory provides a basis for higher-order models such as M4 syntax and AiSU-FD, and introduces Λlog dynamics to capture semantic transformations. This axiomatic framework sets the stage for future work in predictive modeling of meaning jumps, structural cognition, and intelligent output systems.