physicalReggeEHD2MasterWitnessProjectionCount_eq_seven
plain-language theorem explainer
The physical D2 master-witness projection audit count equals seven: four witness-field projections plus three certificate projections. Gravity residual auditors and Track 1.B-PHY reviewers cite it as a fixed inventory check on the Session 549 package. The proof is pure reflexivity against the literal definition.
Claim. The natural-number audit count of physical D2 master-witness projection theorems (four witness-field projections together with three certificate projections) equals $7$.
background
Track 1.B-PHY packages physical finite-probe Regge-to-Einstein-Hilbert residual theorems drawn from the six-tetrahedron cubic Dirichlet instance. It upgrades the flat-substrate structural witness: once edge-stencil local correspondence holds, normalized full nonlinear Regge finite aggregates converge to the canonical finite EH/Dirichlet action with residual tending to zero, and the same correspondence feeds a finite-to-continuum bridge under a Riemann-sum identification.
The quantity named here is a Session 549 audit counter: it tallies seven physical D2 master-witness projection theorems, split as four witness-field projections plus three certificate projections. The definition is the literal natural number seven; this theorem only records that equality.
proof idea
One-line reflexivity. The definition is the constant natural number $7$, so rfl discharges equality with $7$. No lemmas are applied.
why it matters
Inside the Recognition gravity track this is bookkeeping, not dynamics: it freezes the inventory of physical D2 master-witness projections that the Track 1.B-PHY residual upgrade is expected to expose. Downstream use sites are not yet wired; the module still leaves open the unconditional manifold Einstein-Hilbert step (PhysicalReggeEHManifoldIntegralRemainingTarget on a concrete periodic Freudenthal refinement family). The count itself does not touch T0-T8, RCL, or the phi ladder; it only stabilizes the structural residual package that sits above the flat witness.
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