The Quantized Dimensional Ledger (QDL) program treats physical theory construction as a problem of structural admissibility, closure completion, transformation stability, and residual survival. This paper develops the gravitational side of QDL in a deliberately restricted form: it focuses on classical general relativity as the minimal closure-compatible metric theory, while quarantining quantum gravity into a separate benchmark layer. The central claim is not that QDL has completed quantum gravity. The central claim is that QDL supplies a classical-gravity closure theorem. Under declared assumptions — four-dimensional local metric dynamics, diffeomorphism covariance, scalar-density action closure, second-order leading field equations, stress-energy coupling, Bianchi compatibility, geodesic free motion, Newtonian recovery, Keplerian Quantized Dimensional Cell recovery, and minimality — the leading gravitational dynamics are selected as Einstein-Hilbert gravity with cosmological term. The QDL classical chain is: Einstein-Hilbert action -> Einstein equation with cosmological term -> stress-energy conservation -> geodesic motion -> Keplerian closure a³ n² = GM. The Einstein equation is interpreted as a closure-preserving relation between geometry and stress-energy. The geometric side has curvature dimension L^-2, while the coupling 8 pi G / c⁴ mediates closure between the source ledger and curvature ledger. The contracted Bianchi identity is interpreted as the gravitational closure-preservation identity enforcing compatible stress-energy conservation. The Einstein-Hilbert action is selected as the minimal local four-dimensional metric action under scalar-density closure, diffeomorphism covariance, second-order field-equation closure, stress-energy coupling, divergence compatibility, and Newtonian/QDC weak-field recovery. Lovelock-type reasoning supports this result: in four spacetime dimensions, the local metric action yielding second-order field equations consists of the cosmological term, the Einstein-Hilbert term, and a topological Gauss-Bonnet contribution that does not modify local classical dynamics. Higher-curvature terms are QDL-admissible as effective corrections but are not selected as minimal leading dynamics. Free motion and the equivalence principle are interpreted as QDL mass-role closure. In Newtonian form, inertial mass appears in F = mi a, while gravitational mass appears in F = GM mg / r². Universal free fall requires mi = mg. In metric gravity, this equality is geometrized as geodesic motion. The Newtonian and Keplerian limits recover the Quantized Dimensional Cell, qQDC = L³ F², through the gravitational source parameter mu = GM and the Keplerian closure relation a³ n² = GM. The numerical gravitational layer identifies the correct dimensionless target for Newton’s constant relative to the electroweak scale: gammaᵥ = G v² / (hbar c), with logarithmic hierarchy ledger Hᵥ = -log10 (gammaᵥ). Because G and v are both dimensionful, QDL does not derive either as an isolated pure number. It converts Newton’s constant into a Planck-electroweak hierarchy problem. A first sector-screening expression for Hᵥ is presented only as an ansatz-level hierarchy reconstruction, not as a precision derivation of G. Quantum gravity is quarantined. The paper identifies the QDC-Compton threshold Gm = hc/m, semiclassical gravity as first-moment source closure, black-hole entropy as horizon area-information closure, and the Page curve, discreteness, operator geometry, constraint closure, and problem of time as future QDL admissibility benchmarks. These are not presented as solved results. The final status is bounded and falsifiable: QDL selects classical general relativity as the minimal closure-compatible metric dynamics under declared assumptions, converts G into a dimensionless Planck-electroweak hierarchy target, and quarantines quantum gravity as a sequence of explicit future closure benchmarks.
James D. Bourassa (2026) studied this question.