Axiomatization of Ontology: Depriving Convergent-Static Science of Its Self-Authorizing Ontological Privilege

Four-hundred-year modern science has built intellectual hegemony relying on a subset of the convergent-axiom system All Stable Structures are Mathematizable, The World Prefers Parsimony, Topological Unification, and superimposed static ontological presuppositions to form a dual-paradigm shackle: it coercively demands all realities be reduced to unique convergent steady-states, and forcibly slices the intrinsically dynamically-fluxing substrate phenomena into static symbolic structures. The stagnation of modern fundamental science arises not because human computing power, experiments, or mathematical tools have reached their limits, but because mainstream academia voluntarily imprisons itself via dual ontological presumptuousness: obscuring boundary-tension structures under convergent-steady-state hegemony, and kidnapping dynamical essences with static formal languages. The core undertaking of this paper is to divest modern science of its self-granted ontological authorization appropriated over four centuries. This paper originally proposes the three-order criterion for truncation-presumptuousness and anatomizes the core pathology of static presumptuousness; their conjugation jointly constitutes the ultimate root-cause of stagnation in fundamental mathematical-physical sciences. Century-old grand conjectures — the Riemann Hypothesis, BSD conjecture, counterexamples to the Hodge conjecture, counterexamples to the Navier-Stokes equations, the Yang-Mills mass-gap problem and others — are simultaneously trapped in a double dead-lock of cross-paradigm boundary tension and missing dynamical mechanisms. Mainstream mathematical-physical communities have long deliberately evaded first-principles dynamical logic, indulging in static-symbol games, steady-state extremum solving, and reified formal deduction. Their paradigm-lock-in is more than mere cognitive blind spots; it essentially reflects systemic self-preservation driven by academic-interest chains. Drawing upon the Substance-Function-Telos meta-axiom set of ontology and the ontological-folding operator, this paper carries out full-domain paradigm critique covering mathematics, physics, humanities, life sciences, and frontier AGI. Taking the AWM Algebraic-World-Model as an extreme specimen, it demonstrates that even state-of-the-art contemporary intelligent reasoning remains trapped within the dual cage of convergence-and-static-presumptuousness. This paper further reveals that prevailing academic evaluation, resource-allocation and talent-training systems constitute an interest closed-loop specifically designed to uphold the hegemony of the static-convergent paradigm and suppress meta-level paradigm revolutions. The ontological-axiomatization turn definitively terminates the exclusive-truth status of static-convergent paradigms, returns the right of axiom-selection, paradigm-interpretation, and dynamical-explanation back to being itself, and establishes legislative foundations for a carbon-silicon-coupled new civilization, next-generation breakthroughs in fundamental mathematics-physics, and cross-paradigm universal metalanguage systems.