The Transcendental Argument for Being: Foundations of Logic Realism Theory — Part I: Ontological Groundwork

This paper establishes the minimal ontological structure required for anything to exist. Beginning from the impossibility of derivation from absolute nothing, we argue that three primitives are jointly necessary and sufficient for the constitution of reality: prescriptive logical constraint (L₃), infinite informational possibility (I∞), and actualization (A). These primitives are transcendentally derived as conditions for the possibility of determinate existence. Their interaction yields the core result of Logic Realism Theory: A_Ω = L₃(I∞), providing the ontological ground from which physical structure can subsequently be reconstructed. Part I develops no new physical formalisms; it secures the ontological framework intended to underwrite formal reconstruction of quantum and spacetime structure.