IndisputableMonolith.Verification.CPMBridge.Initiality
Minimal interface for a Coercive Projection Method (CPM) framework on a domain, exposing only the constants needed to run universality checks against Recognition Science. Anyone comparing an external CPM-style theory to the RS core cites this signature layer. The module packages a framework signature, an RS reference signature, matching predicates, and the universality-implies-RS-core corollaries without exclusivity machinery.
claimA minimal CPM framework signature on a domain $D$ records only those constants required for universality tests. Universality of a framework $F$ implies that $F$ matches the Recognition Science core signature (including agreement of the exposed constants).
background
The Coercive Projection Method (CPM) is formalized upstream in three domain-agnostic parts: (A) a projection-defect inequality, (B) coercivity factorization in which an energy gap controls the defect, and (C) an aggregation principle that lifts local tests to membership. That package is the Law of Existence core imported here.
This module sits in the verification bridge from CPM to Recognition Science. It does not restate the full A/B/C development. Instead it defines a thin signature object: the constants a framework must expose so that universality can be checked against an RS reference signature. Sibling names indicate the main pieces: a framework signature, a universality predicate, an RS core signature, a matching relation, and the implication that universality forces RS-core agreement (including constant agreement).
proof idea
Definition and interface module rather than a deep proof development. It introduces the minimal signature types and predicates, then records the universality-to-RS-core implications as the bridge lemmas consumers need. Heavy CPM content stays in LawOfExistence; exclusivity adapters are deliberately kept out so downstream export modules can import this scaffold without cycles.
why it matters in Recognition Science
Feeds Verification.CPMBridge.Exports, which re-exports the CPM universality corollary for paper citation without pulling in the exclusivity adapter. That export module states it depends only on this Initiality scaffold. In the broader RS story, this is the verification hinge: once a CPM framework is universal in the A/B/C sense, its exposed constants and core structure are forced to match RS, supporting the claim that RS is the initial (universal) such framework rather than one ad hoc model among many.
scope and limits
- Does not prove exclusivity of RS among all possible frameworks.
- Does not re-derive CPM parts A/B/C; those live in LawOfExistence.
- Does not expose a full physical constant list beyond universality-check needs.
- Does not import or discharge exclusivity-adapter obligations.
- Does not by itself connect to the T0–T8 forcing chain or mass ladder.