PURE: Possibility Unification, Reality Emergence

The universe remembers. Not metaphorically — every act of becoming leaves permanent structural residue that shapes all subsequent relation, and that residue is measurable. This paper argues that what physics calls dark matter, what thermodynamics calls the arrow of time, and what theology calls the weight of sin are three descriptions of the same underlying reality: the irrevocable cost of foreclosed alternatives accumulating in the relational topology of a universe that cannot forget what it has been. From a single constraint — that absolute nothingness cannot be a candidate state — a unified ontological framework is derived. Rather than claiming a finalized mathematical proof, this paper provides the conceptual and geometric scaffold required to translate this ontology into physical law. It conceptually grounds relativistic time dilation as the variable pacing of becoming, outlines falsifiable empirical predictions regarding galactic cusp-core structures, and converges abductively on a ground that is personal, relational, and eternal. A programmatic formalism connecting these topological principles to observable physical phenomena is detailed in the appendix, while the primary argument rests on the structural necessity of the relational grammar itself.