Physical theories are commonly constructed by positing primitives—space, time, matter, fields—and then prescribing laws. The present work proceeds inversely: it specifies the constraints a description must satisfy to qualify as physical at all. Four admissibility constraints are imposed: non-circularity (no primitives that rename what must be derived), refinement coherence (physical content invariant under refinement and coarse-graining up to gauge), diagnostic closure (stable internal criteria for state distinction), and non-fine-tuned refinement (coarse-graining not engineered to protect arbitrary decompositions). From these constraints, a necessity chain follows. Diagnostic carriers (matter) are forced by diagnostic closure. Scalar time is forced as an order representation of refinement-stable histories. Geometry is forced as the representational encoding of universal compositional relational comparability among carriers. A single universal operator (unique up to gauge) is forced, permitting at most one dominant log-spectral generator β0; once identified, β is canonized and not tunable. The UST inversion principle is fixed at the regime level: equilibrium is primary; “force” is conservative bookkeeping closure of equilibrium differences; “motion” is bookkeeping relocation of equilibrium extrema. Under this inversion, gravitation is forced as identity-preserving long-range closure within the geometric encoding. Cosmology is forced as the asymptotic fixed-point grammar of repeated admissible coarse-graining, with Λ interpreted as an asymptotic closure parameter rather than a substance. Dark matter and dark energy are defined as bookkeeping residuals produced by applying an inadmissible grammar; they are eliminable under admissible closure refinement, or else they falsify the bookkeeping thesis. No new ontic entities are introduced. The framework functions as an admissibility filter: any stable cross-scale physical description without primitives is forced into this structure.