From Particles to DNA: A Closure Based Derivation of Matter, Chemistry, and Life, in the ψ₀-OCM

This work establishes a closure-based, law-level account of the emergence hierarchy from particles to DNA within the ψ₀-OCM (Osborne Cosmological Model). It shows that atoms, chemistry, oxidative niches, RNA, cells, and DNA arise as stability-constrained closure layers of redistribution dynamics under bounded detachment, rather than as contingent historical outcomes. Electromagnetic Closure as a Structural Constraint This version clarifies the role of the electromagnetic coupling invariant α as a structural admissibility parameter governing atomic stability. In the ψ₀-OCM, stable atoms exist only when electromagnetic binding persists against redistribution and detachment. This persistence follows from boundary admissibility constraints rather than assumption. α is interpreted as an eigenvalue associated with admissible ψ₀ boundary configurations. Only a narrow admissible band permits persistent electron binding; outside this range, atomic structure fails, preventing chemistry and higher closure layers. This interpretation does not modify quantum electrodynamics but situates α within a structural stability framework linking microphysical coupling to macroscopic persistence. Biochemical Control Layer Clarification DNA marks the closure layer at which stabilized matter requires a persistent, low-energy control system for long-horizon regulation. Electrostatic closure provides the energetic substrate enabling this control, while biochemical mechanisms implement its functional expression. This preserves biochemical autonomy while identifying the physical stability conditions enabling sustained biological regulation. Oxidative Niches as Local Admissibility Upgrades Oxidative niches are formalized as localized admissibility upgrades within chemistry, enabling oxygen-mediated reaction pathways in bounded microdomains without requiring global oxygenation. This expands prebiotic chemical reach and provides a lawful bridge between reducing chemistry and RNA-level catalytic closure. Unified Closure Ladder A single forcing principle explains why each layer must emerge and persist, and why Darwinian evolution becomes operative only within stabilized closure domains. Established physical, chemical, and biological theories are recovered as reduction limits on these domains, preserving empirical validity while situating them within a common generative framework. The result is a non-circular architecture linking physics, chemistry, and biology through admissibility, closure, and redistribution dynamics.