reality_recognition_framework_complete
plain-language theorem explainer
Framework completeness for the universal structure asserts that every physics theory, logic system, and qualia space embeds into it. Researchers in unified theories of physics and cognition would cite this result. The proof currently stands as a stub assembling the three domain-specific embedding maps.
Claim. Let $R$ be the universal structure. Then $R$ satisfies framework completeness: for every physics theory $P$ there is a nonempty embedding of $P$'s state into $R$, for every logic system $L$ there is a nonempty embedding of $L$'s propositions into $R$, and for every qualia space $Q$ there is a nonempty embedding of $Q$'s state into $R$.
background
The module presents the final step in the Reality Recognition Framework, where physics, logic, and qualia become isomorphic structures inside one universal structure $R$ with phi-based scaling and the strain functional $J$ acting universally. FrameworkComplete $R$ is defined as the conjunction of three embedding conditions: nonempty embeddings for all PhysicsTheory states, all LogicSystem propositions, and all QualiaSpace states. Upstream results supply supporting pieces such as discrete Galerkin states from fluid models and integration-gap identities that enforce the phi-power balance at three dimensions.
proof idea
This is a one-line wrapper that applies the three embedding constructions physics_embeds, logic_embeds, and qualia_embeds to build the tuple witnessing FrameworkComplete.
why it matters
It is the direct parent of reality_is_recognition, which states existence of $R$ with FrameworkComplete $R$, and reality_equals_recognition, which adds self-recognition and non-negative strain. It realizes the module claim that reality is recognition via the universal isomorphism. The result touches the open question of verifying the specific embeddings in each domain.
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