closureStatus_as_of_session_97
plain-language theorem explainer
Snapshot record of the quantum-gravity master theorem's twelve clauses as of session 97 (2026-05-22): eight CLOSED, one STRUCTURAL, three OPEN. Gravity and master-plan auditors cite it for §3 progress tracking. It is a structure literal whose only proof obligation is the arithmetic identity 8+1+3=12, discharged by decide.
Claim. The master-theorem closure status as of session 97 is the record with closed-clause count $8$, structural-clause count $1$, open-clause count $3$, total clause count $12$, satisfying $8+1+3=12$.
background
Gravity Track 7.A authors the Recognition Science quantum-gravity master statement as a twelve-clause conjunction matching the master-plan template. CLOSED clauses are inhabited from existing Lean theorems (Sessions 89–96 anchors: Hawking temperature SI, black-hole entropy SI, echo SI, $\Omega_\Lambda$, BMV entropy, discriminators, zero free parameters). STRUCTURAL clauses carry a named structural axiom as a hypothesis input. OPEN clauses remain pure hypothesis inputs awaiting their tracks.
MasterTheoremClosureStatus is a small audit record with four natural-number fields and a proof that closed + structural + open equals total. The module exposes the conditional master theorem under five still-open hypothesis inputs (classical limit, unconditional amplitude-linear forcing, Page curve, PTA stochastic GW, strong-field tests).
The STRUCTURAL slot here is amplitude-linear forcing under the factor-product hypothesis; three further tracks stay OPEN.
proof idea
Pure structure literal. The four counts are assigned as numerals (8, 1, 3, 12). The equality field total_eq is proved by decide on the ground Nat identity $8+1+3=12$. No lemmas from the gravity or foundation stack are invoked.
why it matters
Gives a machine-checkable checkpoint for master-plan §3 audit updates and future sessions measuring progress toward unconditional closure of rs_quantum_gravity_master. The eight CLOSED clauses already discharge the load-bearing SI and discriminator anchors from Sessions 89–96. The remaining STRUCTURAL and OPEN slots mark exactly which tracks (classical continuum/Bianchi, unconditional amplitude linearity, Page curve, PTA vs inflation, strong-field GR discriminators) must still become theorem-grade before the discovery is claimed complete. No downstream theorems currently depend on this snapshot; it is bookkeeping for the authoring half of Track 7.A, not a physics result.
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