masterTheoremStructuralCert
plain-language theorem explainer
Packages the Session-102 fully structural RS quantum-gravity master theorem into a single certificate: the master statement with five structural witnesses pre-filled, the 13-closed/1-structural/0-open closure tally, and the honest-scope lemma that those witnesses are inhabited. Gravity auditors cite it as the zero-hypothesis-input structural cert. Construction is a three-field structure instance, not a new derivation.
Claim. The structural master certificate is the triple consisting of (i) the RS quantum-gravity master theorem under the five structural witnesses (Regge–EH continuum and Bianchi residual, amplitude-linear forcing unconditional, Page-curve derived, PTA stochastic GW distinct from inflation, strong-field distinct from GR), (ii) the Session-102 closure status with $13$ closed, $1$ structural, and $0$ open clauses out of $14$, and (iii) the honest-scope assertion that all five structural witnesses are inhabited.
background
Gravity Track 7.A records the master theorem in fully structural form: zero hypothesis inputs, zero sorry, zero RS-internal axioms (closure dated 2026-05-22). The trajectory is Sessions 97→100→101→102, successively retiring five named hypothesis slots by structural witnesses so the master statement compiles with empty input list.
RSQuantumGravityMaster is the fourteen-clause master conjunction. Five clauses are discharged by named structural witnesses (Regge–EH continuum/Bianchi; amplitude-linear forcing; Page curve; PTA vs inflation; strong-field vs GR); the other nine are full theorem grade. The certificate structure bundles three fields: that structural master holds, a MasterTheoremClosureStatus record, and a proof that every structural witness type is inhabited.
Upstream, rs_quantum_gravity_master_structural is the Session-102 theorem that pre-fills all five witnesses. closureStatus_as_of_session_102 sets closed=13, structural=1, open=0, total=14. honest_scope_statement states Nonempty for each of the five witness types and records what dynamical upgrades remain.
proof idea
Three-field structure instance. The first field is filled by the already-proved theorem rs_quantum_gravity_master_structural. The second field is the definition closureStatus_as_of_session_102. The third field is the theorem honest_scope_statement. No new tactics or lemmas; pure packaging of three in-module results into MasterTheoremStructuralCert.
why it matters
This is the citable Session-102 artifact for the fully structural master theorem: the point at which Track 7.A reports zero remaining hypothesis inputs. Downstream, masterTheoremStructuralCert_inhabited is the one-line Nonempty witness built from this definition, feeding the one-statement structural master section.
It does not finish the Recognition gravity program. The module doc is explicit that the dynamical (unconditional) master still needs upgrades of all five structural witnesses: geometric residual $|S_{\mathrm{Regge}}-S_{\mathrm{EH}}|\le C\cdot\mathrm{spacing}$ and Schläfli for a physical triangulation (Tracks 1.B/1.C), ledger-dynamical Page curve, RS primordial spectrum for PTA, and dynamical strong-field deviation patterns. Within the forcing-chain picture this is bookkeeping for the gravity sector after T0–T8, not a new forcing step.
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