The Dimensional Structure of 1: Semantic Origins of Meaning, Jump, and Reality in AiSU Theory

This preprint proposes a dimensional reconstruction of “1” as the origin of semantic integration. Through reductive dimensional analysis, “1” is revealed not merely as a numeric identity, but as an indivisible semantic node—a jump point where structure, output, and meaning converge. We explore its complementary shadows (“0”), fluctuations (“i”), and intention (“A”) within the AiSU syntactic framework. Using ○-● syntax and structural tensor theory, this work unifies semantic and dimensional interpretation, culminating in a formalism where (A + i) · S(t) · U = 1 encapsulates both cognitive potential and physical emergence. This theory serves as a bridge between mathematical structure and existential meaning.