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IndisputableMonolith.Gravity.MasterTheoremPartial

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Partial assembly of the RS quantum-gravity master theorem after session 100. Eight clauses are closed; tracks 6.B (PTA stochastic GW) and 6.C (strong-field tests) enter as structural witnesses; one clause stays structural under a factor-product hypothesis; three hypothesis inputs remain open. Gravity and cosmology workers cite it as the bridge from the authored conditional master statement to deeper and fully structural forms. The module only wires imported discriminators into the master template.

claimPartial master theorem for Recognition Science quantum gravity: eight closed clauses, structural witnesses for the PTA stochastic gravitational-wave background (track 6.B) and strong-field tests (track 6.C), one factor-product structural clause, and three open hypothesis inputs (1.B/1.C, unconditional 2.C/2.D, and 3.C), packaged as a single conditional statement with an explicit session-100 closure snapshot.

background

Recognition Science organizes quantum gravity as a master theorem whose clauses track independent physical discriminators across cosmology, strong-field gravity, and related sectors. The parent Gravity Track 7.A module authors the full conditional master statement once the seven tracks are ready to gate; its status is structural-conditional with zero sorry on the load-bearing path.

Session 100 records eight closed clauses plus two newly filled hypothesis inputs: track 6.B (PTA stochastic GW background structural discriminator) and track 6.C (strong-field tests structural discriminator). Both upstream modules are structural theorems (zero sorry, zero RS-internal axiom). A further clause remains structural under a factor-product hypothesis; three inputs stay open.

This module imports those witnesses and the authored master template, then exposes a partial conditional form and a dated closure-status record for downstream assembly.

proof idea

Not a single proof object. The module assembles imported structural witnesses into the master-theorem template: it records the session-100 closure ledger (8 closed, 2 newly filled via 6.B/6.C, 1 structural under factor-product, 3 open), authors the partial conditional statement, and packages one-statement and status helpers. No new dynamical derivations; wiring, status bookkeeping, and re-export of the conditional master form only.

why it matters in Recognition Science

Feeds the deeper partial master theorem (session 101), which pre-fills PTA, strong-field, and Page-curve hypotheses and leaves two inputs open, and the fully structural master theorem with all five hypothesis inputs discharged by structural witnesses. Sits on Gravity Track 7.A of the quantum-gravity master plan as the intermediate between the authored conditional statement and the zero-hypothesis structural form. The unconditional upgrade, replacing structural witnesses by dynamical derivations, remains future work. Marks the first place tracks 6.B and 6.C land inside the master claim.

scope and limits

used by (2)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (3)

Lean names referenced from this declaration's body.

declarations in this module (5)