template
plain-language theorem explainer
Status template for the Session 101 deeper-partial RS quantum-gravity master theorem: eight clauses closed, three former open tracks retired by structural witnesses (Page curve, PTA stochastic GW, strong-field tests), one structural amplitude clause under factor-product, and two open inputs left (Regge-EH continuum/Bianchi; unconditional amplitude linearity). Gravity-track auditors cite it for the current hypothesis budget. It is a named status marker, not a computational derivation.
Claim. After Session 101, the deeper-partial RS quantum-gravity master theorem has eight closed clauses, three newly filled hypothesis inputs discharged by structural witnesses for Tracks 3.C (Page curve), 6.B (PTA stochastic GW distinct from inflation), and 6.C (strong-field tests distinct from GR), one structural clause under the factor-product hypothesis, and two remaining open hypothesis inputs: Tracks 1.B/1.C (Regge continuum limit and discrete Bianchi/Schl\"afli) and Tracks 2.C/2.D (unconditional amplitude linearity).
background
The gravity master theorem packages the RS quantum-gravity claim as a fixed list of twelve clauses. Session 97 stated the full conditional form with several open hypothesis inputs. Session 100 (MasterTheoremPartial) retired Tracks 6.B and 6.C by structural witnesses from the PTA stochastic-GW and strong-field modules. This module (Session 101) is the next partial advancement: it also retires Track 3.C via the triangular Page-curve structural witness.
What remains as explicit inputs to the deeper-partial conditional are only two propositions: RegEHContinuumAndBianchi (geometric residual estimate plus Schl\u00e4fli identity on the Regge side) and AmplitudeLinearForcedUnconditional (amplitude linearity without a factor-product hypothesis). Spatial dimension $D=3$ is already forced upstream (T8/T9). The PTA structural theorem is the witness that retires the inflation-distinct GW hypothesis from the Session 97 list.
Local setting (module doc): structural theorem, conditional with two remaining hypothesis inputs; zero sorry, zero RS-internal axiom; closure dated 2026-05-22 session 101.
proof idea
No tactic body is attached; this is a named status/template declaration that records the Session 101 clause budget in prose form, parallel to the numeric closureStatus snapshots on the master theorem. The mathematical content is the accounting itself: eight closed, three newly filled by citing the structural witnesses (Page-curve structural, PTA-stochastic-GW structural hypothesis theorem, strong-field structural), one structural under factor-product, two open. Downstream one-statement and conditional forms simply re-export that budget with the two remaining hypotheses as parameters.
why it matters
This is the Session 101 checkpoint on the gravity master-theorem forcing chain. It sits between the Session 97 full conditional and any future unconditional closure. Parent consumers include the master-theorem closure-status machinery, the structural and partial template re-exports, and the deeper-partial conditional rs_quantum_gravity_master_deeper_partial_conditional, which applies the three structural witnesses and leaves only the two open inputs.
Framework landmarks: $D=3$ is already locked (T8); the eight-tick/Clifford side is background infrastructure, not reopened here. The open residual is geometric (Track 1.B/1.C: continuum EH limit plus Schl"afli/Bianchi on Regge data) and amplitude-theoretic (Track 2.C/2.D unconditional, still gated on factor-product retirement). Until those two close, the master claim stays conditional. The template exists so auditors can read the hypothesis budget without unpacking every witness module.
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