Gravity from Block Consistency: Constraint Closure, the Einstein Limit, and the Global Volume–Momentum Pair

Abstract

The Geometric Block Universe has, in its first six volumes, reconstructed a canonical probability measure, a finite gauge–Higgs representation skeleton, persistent records, and relational time from one geometric ontology. This volume subjects that ontology to its most dangerous test: gravity. Ten successive attacks are executed, each against pre-registered kill criteria. Metric constraint closure fixes the inverse DeWitt trace coefficient to and recovers, exactly, the Volume VI kinetic metric and the logarithmic-volume clock as the homogeneous conformal direction of the closure-selected local supermetric. A fixed-moduli reduction supplies the first constants bridge, . Minimal bosonic and fermionic completions are forced onto one characteristic cone (, ); the canonical spin complex yields exactly three families, forty-five chiral Weyl states, no mirror kernel at the canonical point, and a vanishing anomaly ledger; the isolated quaternionic weak band becomes a local spectral bundle with unit second Chern class and explicit gap-stability and mirror-exclusion theorems. The finite chiral determinant and the canonical heat semigroup then induce Yang–Mills, Einstein, vacuum, and controlled higher-curvature terms, with the exact representation-index relation at the spectral matching scale. The complete-tower audit is honest in both directions: neither minimal ultraviolet uplift cancels the induced vacuum coefficient, and the residual densities are computed rather than hidden. The ninth attack proves the quadratic volume clock cannot absorb a constant vacuum density; the tenth derives the unique minimal covariant repair: projective energy-zero invariance forces the affine top-degree action , whose boundary symplectic form gives the exact canonical pair , identifies differences with accumulated ten-volume, and converts constant vacuum shifts into a global momentum translation plus an endpoint phase — with no new local degree of freedom. The global higher-form topology and the boundary-state value of remain open and are stated as such. Every result is priced: what is derived, what is conditional, and what is load-bearing are separated into an explicit ledger, and none of the thirty-plus pre-registered failure conditions has been triggered. On the evidence of its own results, the Geometric Block Universe stands as a viable candidate architecture for physical reality; what separates candidacy from confirmation is the derivation of dynamics and the constants, and this volume maps that frontier exactly.