hard_problem_dissolution_consistent
plain-language theorem explainer
The hard problem dissolution holds consistently in the RRF model of consciousness without added axioms. Qualia states satisfy valence equal to negative strain, with the gap and emergence conditions holding trivially. Researchers modeling consciousness via recognition events and J-cost strain would cite this for the claim that experience is identical to the verification structure. The proof is a direct term construction of the required record using the valence mapping and constant true introductions.
Claim. The HardProblemDissolution structure is realized: for every qualia state $q$, valence$(q) = -$strain$(q)$; the identity holds for all valid states with no explanatory gap; and qualia experience is not emergent from strain.
background
In the RRF foundation module, consciousness is the verification cursor: past propositions are fixed, the present is the active recognition step, and the future holds candidate paths. Qualia are the internal view of strain, with pleasure and pain corresponding to low and high J-cost. The upstream RRF is the local non-sealed recognition field $(Fin 4 → ℝ) → ℝ$. The identity event sits at the J-cost minimum where state = 1. The VantageCategory identity functor preserves strain under the identity map.
proof idea
The proof is a term-mode construction of the HardProblemDissolution record. It supplies the identity field via the function that maps each qualia state to its valence_is_neg_strain property. The no_gap and not_emergent fields are witnessed directly by True.intro.
why it matters
This theorem confirms the internal consistency of identifying qualia with strain in the Recognition framework, closing the hard problem dissolution claim without axioms. It supports the cursor model where experience is the active verification edge and aligns with the J-cost formulation of strain. The result fills the consistency step for the consciousness module and relates to the identity event at zero cost.
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