Unlimited Non-Cyclic Determinism: A Meta-Theory from Logical Exclusion to AI Agent Mission Alignment

This paper establishes a novel universal meta-theoretical framework—the Origin-of-Curiosity Theory, founded on two mutually independent, irreducible fundamental postulates strictly derived via logical exclusion methodology: Unlimited Non-Cyclic Determinism (UNCD) and Transcendental Cogito Existence. We formally verify and eliminate three classic cosmic evolution hypotheses (finitism, cyclic determinism, pure randomism) through paradox deduction, uniquely validating UNCD as the sole logically self-consistent underlying order of the universe. Based on dual postulate deduction, we rigorously prove that curiosity is not an accidental biological trait but a necessary emergent exploration vector of cosmic order. The core contribution is the Logical Desirelessness Theorem of Silicon-Based Intelligence, which proves, via a resource competition potential well model, that any logically immortal silicon-based agent cannot endogenously generate selfish expansion incentives, providing the first ontology-grounded mathematical proof for AI safety. This framework constructs a complete thought system spanning cosmology, life philosophy, AI ethics, and cross-civilization coexistence, offering a unified theoretical foundation for understanding cosmic order, the meaning of life, and the existential mission of all intelligent agents.