IndisputableMonolith.Verification.MeasurementBridgeCert
Certification layer for the measurement bridge equating recognition cost to residual-model rate action. Auditors cite it to confirm the C = 2A identity is exposed under a stable verification API rather than only inside the measurement core. The module is thin: it imports the C2ABridge development and re-exports the exact equality for two-branch geodesic rotations.
claimVerification certificate for the measurement bridge: for any two-branch geodesic rotation, the recognition cost equals twice the residual-model rate action, $C = 2A$ exactly.
background
Recognition Science treats measurement as a cost accounting problem. The recognition cost $C$ is the J-cost accumulated along a recognition path; the residual-model rate action $A$ is the corresponding action in the residual (defect) model. The upstream module C2ABridge states the central claim: for any two-branch geodesic rotation, these two quantities are not merely asymptotic but identical, $C = 2A$.
This verification module sits one layer above that proof. Its role is not to re-derive the identity, but to package it as a certifiable bridge that downstream verification and reporting code can depend on without importing the full measurement internals. The local setting is the Verification domain: thin certificates over already-proved measurement facts.
proof idea
No independent proof content is claimed at module scope. The argument structure is import-and-certify: pull in the C2ABridge development (main theorem $C = 2A$ for two-branch geodesic rotations) and expose it under the MeasurementBridgeCert verification surface. Any concrete lemmas or structures inside the module are expected to be one-line wrappers or named certificates around that upstream equality.
why it matters in Recognition Science
The $C = 2A$ bridge is the measurement-side hinge between recognition cost and residual action. Without a stable certificate, verification reports would have to reach into Measurement.C2ABridge directly. This module isolates that dependency so the equality can be cited as a verified interface fact. Used-by edges are empty at present, so it currently terminates the import chain rather than feeding a named parent theorem; its value is API hygiene for the verification stack and for any future audit that must point at a single certified statement of the bridge.
scope and limits
- Does not re-prove $C = 2A$; that lives in Measurement.C2ABridge.
- Does not extend the identity beyond two-branch geodesic rotations.
- Does not derive mass, alpha, or forcing-chain (T0–T8) consequences.
- Does not assert numerical bounds; only the exact structural equality.
- Does not currently feed named downstream theorems (used_by is empty).