Ontological Generation Chain and the Topological Origin of the Wave Function

This chapter constitutes the irreducible foundational kernel of the Generable Digital Universe Model (GDUM). All subsequent physical laws—quantum mechanics, fundamental constants, lepton mass hierarchies, dark‑sector cosmology, black hole geometry—are deductive consequences of the four primitive axioms laid down in this chapter. The original condensed version only recorded axiom statements and theorem conclusions; this expanded version supplements complete ontological arguments, step‑by‑step topological derivations, physical visualization intuition, and comparative dialogues with standard ΛCDM and quantum field theory, so that every mathematical result can be traced back to the 0‑dimensional information base \mathcal I_0, without introducing any ad hoc external assumptions.