IndisputableMonolith.Foundation.UniversalForcing.Strict.Metaphysical
The module defines the strict metaphysical ground as a theology-neutral structural package that assigns forced arithmetic to every strict realization and establishes invariance across them. It completes the set of five domain modules alongside Ethics, Music, Biology, and Narrative in the strict Universal Forcing framework. Researchers performing the domain-rich audit would cite it. The module consists of definitions and a uniqueness result.
claimA strict metaphysical ground is a structure assigning to each strict realization its forced arithmetic such that invariance holds across all strict realizations.
background
This module belongs to the strict branch of Universal Forcing and imports the Ethics module. Ethics supplies domain-rich ethical realization over action states with agent and improvement-rank coordinates, where the generator is the smallest recognized improvement step. The local theoretical setting is the supply of StrictLogicRealization instances for the metaphysical domain, parallel to the other four domains. These instances carry placeholders for excluded_middle_law, composition_law, and invariance_law.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the metaphysical domain module required by RichDomainCosts to prove the real composition, excluded-middle, and invariance laws for the five domains. It is imported by AxiomAudit as part of the strict, domain-rich Universal Forcing completion pass. It realizes the metaphysical slot in the strict forcing chain without theological commitment.
scope and limits
- Does not identify the ground with any theological doctrine.
- Does not extend to non-strict realizations.
- Does not compute explicit numerical arithmetic assignments.
- Does not interact with non-domain-rich forcing paths.