IndisputableMonolith.Foundation.UniversalForcing.Strict.Metaphysical
The module supplies a theology-neutral structural package called a strict metaphysical ground that assigns forced arithmetic to every strict realization and establishes invariance across them. It completes the metaphysical slot among the five domain modules for the strict universal forcing chain. Researchers auditing the completion pass or proving domain-rich laws cite it when closing the strict Ethics-to-Metaphysical extension. The module consists of definitions plus a uniqueness statement with no tactic proofs.
claimA strict metaphysical ground is a structure $G$ such that for every strict realization $R$ the assignment $G(R)$ supplies the forced arithmetic while invariance holds uniformly across all such $R$.
background
The module belongs to the strict universal forcing completion and imports the Ethics module. Ethics defines domain-rich ethical realizations over action states equipped with agent and improvement-rank coordinates; its generator is the smallest recognized improvement step. The metaphysical ground extends this pattern by packaging the forced arithmetic and invariance for the distinguishability ground without doctrinal content. The local setting is the strict, domain-rich fragment of Universal Forcing where each domain module supplies a StrictLogicRealization instance.
proof idea
This is a definition module; it introduces StrictMetaphysicalGround, strictUniversalGround, and the uniqueness statement strict_metaphysical_ground_unique with no tactic proofs or sorry placeholders.
why it matters in Recognition Science
The module supplies the metaphysical domain instance required by RichDomainCosts to replace the excluded_middle_law, composition_law, and invariance_law placeholders with actual theorems. It is imported by AxiomAudit to expose the strict forcing completion surface. It realizes the metaphysical component of the universal forcing chain while remaining neutral on identification of the ground.
scope and limits
- Does not identify the ground with any theological doctrine.
- Does not derive physical constants or mass ladders.
- Does not address non-strict realizations.
- Does not supply computational or empirical content.