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plain-language theorem explainer
The structure defines a theology-neutral placeholder for the source of distinguishability when all realizations share equivalent forced arithmetic. Researchers in Recognition Science foundations cite it to keep the universal generator class mathematically precise without doctrinal attachment. The declaration is a bare structure with no proof obligations or dependencies.
Claim. Let $I$ denote the neutral structural realization of the metaphysical ground: the object that represents the source of distinguishability once every realization is required to possess canonically equivalent forced arithmetic.
background
The module supplies a structural, theology-neutral formalization of the metaphysical question drawn from the Universal Forcing paper. It states that if all realizations have canonically equivalent forced arithmetic, then the source of distinguishability is represented mathematically by the universal generator class. The module deliberately refrains from identifying that source with any specific theological or philosophical doctrine and only makes the structural question precise.
proof idea
The declaration is a direct structure definition carrying no proof body and no tactic steps.
why it matters
The definition supplies the neutral structural anchor for the universal generator class inside the Recognition Science foundation. It supports the larger program of deriving physics from the single functional equation by keeping the metaphysical source mathematically open. It touches the open question of how to close the generator class without importing external doctrine.
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