{ "schema_version": 1, "authority": { "name": "QTT Gravity Authority", "version": "3.1", "updated": "2026-08-20", "canonical_url": "https://quantumtraction.org/gravity/", "paper": { "title": "Artian's Gravity Reference Framework: Completed-Event Scale No-Go, Finite Geometry, Conditional Einstein Reconstruction, and the Gravity Evidence Atlas", "conceptDoi": "10.5281/zenodo.21303020", "url": "https://doi.org/10.5281/zenodo.21303020" }, "book": { "title": "Artian Geometry & Quantum Traction Theory: Main Book", "version": "10.01", "conceptDoi": "10.5281/zenodo.17527179", "url": "https://doi.org/10.5281/zenodo.17527179" } }, "governing_rules": { "concept_doi_only": true, "source_access_separation_required": true, "evidence_levels_required": true, "correlated_faces_are_not_independent_evidence": true, "arithmetic_pass_is_not_empirical_confirmation": true, "source_only_si_status": "open", "retrieval_scores_are_scientific_evidence": false }, "master_equations": [ { "id": "finite-source-evolution", "label": "Finite source evolution", "equation": "dot rho = -hbar^-1 [JH,rho] + sum D[B]rho + sum D[D]rho; P_A7 rho P_A7 = rho", "reading": "The source evolves by reversible real-J transport and typed birth/endurance channels while remaining inside the A7-legal finite state space." }, { "id": "a5x-geometry", "label": "Completed-address geometry", "equation": "V_pix = (pi/6) ell_A^3; V_SQ = 4 pi ell_A^3; Q_Sigma = 8 pi ell_A^2; Delta V_4 = 4 pi ell_A^4; Q_Sigma^2 = 16 pi Delta V_4", "reading": "The 8pi denominator is downstream of isotropic S2 capacity, one address thickness, and a two-sided closed interface." }, { "id": "absolute-transport", "label": "Regular absolute transport", "equation": "S_min = (pi/4) ell_A^2; W_C(e) = (C/t_A)(A_e/S_min)(ell_A/ell_e) Pi_e^A2; H_tr = H_nn(C) + H_unresolved; 0 < C <= 1", "reading": "Parallel and serial composition force the two exponents to one. They do not fix C=1 or prove that the unresolved Hamiltonian sector vanishes." }, { "id": "completed-event-scale-family", "label": "Completed-event scale family", "equation": "R_chi(p) = chi e; 0 < chi <= 1; A_silent = hbar(1-chi); C_H = chi", "reading": "Event provenance fixes one primitive Hamiltonian direction. Faithfulness, exhaustivity, and naturality do not select its magnitude; the action-isometry point chi=1 remains an explicit theorem gate." }, { "id": "spatial-projector", "label": "Gauge-natural spatial projector", "equation": "P_sp = (I-R)/2; rank(P_sp) = 3; Omega_xy = P_y P_x|im(P_x) = U_xy |Omega_xy|", "reading": "Three local spatial directions arise as the reversal-odd part of the six-face source packet. Full-rank adjacent overlap fixes the gauge-natural polar connection U_xy; global orientation, cycle holonomy, and a unique metric camera remain separate gates." }, { "id": "finite-quasi-locality", "label": "Finite quasi-locality", "equation": "||[A_x(T),B_y]|| <= C ||A_x|| ||B_y|| exp[-mu(d(x,y)-v_LR |T|)]", "reading": "Finite-range, bounded local generators produce an exponentially suppressed influence outside an effective cone. This closes quasi-locality, not an exact continuous-time light cone with v_LR=c." }, { "id": "endurance-g", "label": "Conditional A2 normalization identity", "equation": "div g = -4 pi G_A rho; G_A = ell_A^2 c^3 / hbar = hbar c^5 / E_star^2", "reading": "The Planck-scale rearrangement is standard algebra. The QTT-specific statement is conditional: its A2 endurance current, isotropic 4pi capacity, and endpoint map chi_g=1 reproduce the Newton-Poisson coefficient once the Artian ruler is independently supplied." }, { "id": "einstein-coupling", "label": "Conditional infrared Einstein reconstruction", "equation": "G_mn[g] + Lambda_A g_mn - (8 pi G_A/c^4) T_mn^src = E_mn^(9)", "reading": "The smooth Einstein equation is the infrared shadow when every printed action, orientation, locality, reconstruction, covariance, clock, deformation, boundary, CEAC, and coefficient-transfer defect in E_mn^(9) vanishes." }, { "id": "surface-entropy", "label": "Surface entropy", "equation": "S_H^QTT = k_B (2 pi A/Q_Sigma) = k_B A/(4 ell_A^2)", "reading": "A7 supplies the axiomatic 2pi numerator; A5-X supplies the derived 8pi ell_A^2 denominator." }, { "id": "same-count", "label": "Same-count invariant", "equation": "eta kappa_QTT hbar c / k_B = 2 pi", "reading": "The entropy density and Einstein coupling are reciprocal readings of one surface address count." } ], "claims": [ { "id": "G-FINITE-SOURCE-DYNAMICS", "question": "Is the microscopic gravity source only a schematic cartoon?", "equation": "dot rho = -hbar^-1 [JH,rho] + sum D[B]rho + sum D[D]rho; P_A7 rho P_A7 = rho", "claimClass": "typed finite-source dynamics theorem", "keystoneClass": "U/R", "evidenceLevel": "E2", "status": "closed for the declared finite source category; gravity identification remains downstream", "constructors": [ "finite address graph", "real-J Hamiltonian", "typed birth and endurance maps", "A7 legality projector" ], "anchors": [], "forbiddenInputs": [ "continuum spacetime as source ontology", "laboratory metric or observed G as a generator" ], "dependencies": [ "A2", "A3", "A4", "A6", "A7" ], "falsifier": "A lawful typed generator leaves the A7 sector, violates trace preservation, or breaks the printed ledger continuity identity.", "bookPages": [ 48, 49, 50, 51, 139, 140, 141, 142, 143, 144, 145 ], "conceptDois": [ "10.5281/zenodo.21303020" ], "updated": "2026-08-20" }, { "id": "G-ABSOLUTE-TRANSPORT", "question": "What part of the microscopic transport law is actually forced?", "equation": "R_chi(p)=chi e; 0