Artian's Gravity Reference Framework: Completed-Event Scale No-Go, Finite Geometry, Conditional Einstein Reconstruction, and the Gravity Evidence Atlas

From finite completed events to an infrared Einstein shadow: exact theorems, no-go boundaries, and gravity evidence in one auditable chain This paper asks a narrow question before writing any continuum field equation: when one completed finite source event funds one reversible Hamiltonian direction, which part of the Hamiltonian is forced by source law, and which part still requires a theorem? The complete natural primitive map is classified as \[ { R_χ(p)=χ e, 0<χ≤ 1, Aₛᵢₗₑₙₜ=(1-χ), C_H=χ }. \] Thus finite-event provenance fixes one nontrivial Hamiltonian direction, but faithfulness, exhaustivity, and naturality alone do not fix its magnitude. The unit point \(C_H=1\) is isolated as the action-isometry theorem still to be proved. Reversal loops and equal-modular-scalar counterexamples show why endpoint winding or one scalar entropy measure cannot silently replace the path-complete action. The local finite geometry is constructed without choosing a coordinate triad: \[ { P_x=I-R_x/2, Ωxy=P_yP_x|imP_x =Uxy|Ωxy| }. \] For full-rank overlap, the polar factor \(Uxy\) is the gauge-natural local connection. Global orientation, cycle holonomy, and a unique metric camera are kept separate rather than inferred from this local result. Finite local generators produce a quantitative quasi-locality statement: \[ { \|[A_x(T),B_y]\| ≤ C\,\|A_x\|\,\|B_y\| exp\![-μ(d(x,y)-vLR|T|)] }. \] The infrared metric face is then stated with every unclosed transfer collected in one visible remainder: \[ { Gμν[g] +Λ_A gμν -8π G_A/c^4Tˢʳᶜμν = E⁽⁹⁾μν }. \] The Einstein equation is recovered on the declared infrared domain when the printed action, orientation, locality, reconstruction, covariance, clock, deformation, boundary, CEAC, and coefficient-transfer defects vanish. Until then, \( E⁽⁹⁾μν\) is the theorem ledger, not hidden prose. Empirical and falsification anchors The non-gravitational \(G_F\) route lands at \(+0.009416σ\) from its named comparator, with a central offset of \(0.211626\) ppm. The Abell 2744 central comparison is recomputed at \(0.5690%\). The low-acceleration row prints both the full-uncertainty and statistical-only readings. The H1 out-of-sample failure remains printed as a failure. External clean-room replication remains open. Reproducibility receipt Complete inherited Gravity v3-v8 verification chain: PASS. Version 9 checks: 176/176 PASS. Targeted mutation gates: 12/12 detected. PDF render audit: PASS, 170 pages. Stable public anchors Main Book v10.01: 10.5281/zenodo.17527179 Completed-Event Hamiltonian theorem: 10.5281/zenodo.21428033 Gravity reference surface: quantumtraction.org/gravity/ QTT Lexicon: quantumtraction.org/lexicon/ Two Universes: quantumtraction.org/two-universes/