qualia_embeds
plain-language theorem explainer
The theorem asserts that every qualia space admits at least one embedding into the universal structure. Researchers completing the Reality Recognition Framework cite it to close the experiential component of the overall isomorphism. The argument is settled by a direct term that supplies a constant-zero map and a reflexivity witness for preservation.
Claim. For any qualia space $Q$, the set of embeddings of $Q$'s state type into the universal structure is non-empty.
background
QualiaSpace is defined as a structure containing an experience state type together with a valence function from states to real numbers. Embeds packages an embedding map from a source type into the state of UniversalStructure along with a reflexivity condition that the map equals itself. The module places this result inside the claim that physics, logic, and qualia all embed into one universal structure whose scaling follows the golden ratio.
proof idea
The proof is a one-line term-mode construction that directly supplies a structure containing the constant-zero embedding map from the qualia state into the universal state together with a reflexivity witness for structure preservation.
why it matters
This result supplies the qualia component required by the parent theorem reality_recognition_framework_complete, which asserts that the Reality Recognition Framework is fully populated by embeddings of physics, logic, and qualia. It directly supports the module claim that reality is recognition by exhibiting an explicit embedding for experience states.
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