template
plain-language theorem explainer
Session 100 status template for the RS quantum-gravity master theorem: eight clauses closed, tracks 6.B (PTA stochastic GW) and 6.C (strong-field tests) filled by structural witnesses, one structural clause under factor-product, and three open hypothesis inputs (Regge–EH continuum/Bianchi, unconditional amplitude linearity, Page curve). Gravity auditors cite it to track residual conditionality. The body is a status/template packaging of those counts, not a new derivation.
Claim. The partial master-theorem template records twelve clauses with the following split: eight already closed; two newly discharged hypothesis inputs (PTA stochastic gravitational-wave background distinct from inflation, and strong-field tests distinct from pure GR), each supplied by a structural witness; one structural clause under a factor-product hypothesis; and three remaining open inputs (Regge–Einstein–Hilbert continuum plus discrete Bianchi, unconditional forced amplitude linearity, and a derived Page curve).
background
Gravity Track 7.A (partial) advances the Session 97 conditional master theorem. That earlier statement took five named hypothesis inputs for then-open tracks. Session 100 retires two of them by installing Lean structural witnesses from the PTA stochastic-GW module and the strong-field structural module, so the residual conditional theorem needs only three hypotheses.
Upstream landmarks that appear in the dependency cone include the forced spatial dimension $D=3$ (T8/T9), the bichromatic polarized interface edge set used in cosmology bookkeeping, the PTA structural hypothesis that retires the inflation-distinctness input, and Clifford/8-tick and circle-winding infrastructure used elsewhere in the foundation stack. The module itself claims zero sorry and zero RS-internal axioms; closure stamp is session 100.
The discovery is explicitly not claimed: three hypothesis inputs remain, together with the master paper, the §7 falsifier register, and the six §8 done-criteria.
proof idea
No multi-step algebraic argument is present in the extract (empty proof body in the page facts). The declaration is a template/status packaging: it composes the Session 97 master-theorem skeleton with the two new structural witnesses (PTA distinct-from-inflation; strong-field distinct-from-GR) and re-exports the residual three-hypothesis shape. Upstream edges into the PTA structural hypothesis theorem and the deeper/partial template siblings supply the filled slots; dimension and interface constants are referenced as ambient RS data rather than re-proved here.
why it matters
This is the Session 100 ledger entry for quantum-gravity master closure on the gravity track. Downstream, MasterTheorem closure-status and of-style constructors, StrongFieldTestsDistinctFromGR packaging, and parallel templates in MasterTheoremStructural / MasterTheoremDeeperPartial read this split. Pinch-algebra equality templates and discrete Bianchi/Schläfli Regge data sit on related foundation and geometry edges that the still-open Track 1.B/1.C input must eventually meet.
In framework terms it narrows the conditional surface of the RS quantum-gravity master statement after filling cosmology (PTA) and strong-field distinctness, while leaving continuum/Bianchi, unconditional amplitude linearity, and Page-curve derivation open. Per the module plan, discovery completeness still requires those three inputs plus paper, falsifier register, and §8 criteria—not this template alone.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.