IndisputableMonolith.Verification.MeasurementBridgeCert
Verification certificate module for the measurement bridge equating recognition cost C with residual-model rate action A. It packages the C2ABridge result that C = 2A exactly on two-branch geodesic rotations. Auditors cite it when checking that the cost-action identification is wired into the verification layer. The module is thin: it imports the bridge and exposes a named cert object rather than reproving the identity.
claimCertificate that the recognition cost $C$ and the residual-model rate action $A$ satisfy $C = 2A$ exactly for any two-branch geodesic rotation, as established by the measurement bridge.
background
Recognition Science identifies physical action with a recognition cost functional. The upstream measurement bridge module states the central equivalence: for any two-branch geodesic rotation, the recognition cost $C$ equals twice the residual-model rate action $A$, exactly.
That identity is the content being certified here. The verification domain collects such certificates so downstream audits can point at a single named module rather than chasing the full measurement development. Conventions follow RS-native units and the J-cost framework already fixed in the forcing chain; this layer does not redefine $J$ or the geodesic structure.
The only substantive import is the C2ABridge development (plus Mathlib). No independent physical hypotheses are introduced at the certificate boundary.
proof idea
This is a verification certificate module, not a fresh proof development. It imports the measurement bridge and surfaces a cert-facing name for the already-proved identity $C = 2A$ on two-branch geodesic rotations. Argument structure lives entirely in the upstream bridge; the cert module is packaging and exposure for the verification graph.
why it matters in Recognition Science
Places the cost-action bridge inside the Verification domain so audits can treat $C = 2A$ as a named, importable certificate rather than an internal measurement lemma. The parent content is the C2ABridge main theorem (exact equality on two-branch geodesic rotations). No further used-by edges are recorded at this module node; its role is boundary exposure for verification consumers. It does not advance T0-T8 forcing steps, but it locks a measurement identity that later mass and coupling claims may assume when they quote residual action against recognition cost.
scope and limits
- Does not reprove $C = 2A$; that proof lives in the measurement bridge import.
- Does not extend the identity beyond two-branch geodesic rotations.
- Does not derive mass formulae, $\alpha$, or forcing-chain steps T0-T8.
- Does not assert numerical bounds or experimental error bars on $C$ or $A$.
- Does not introduce new physical hypotheses at the certificate boundary.