HardProblemDissolution
HardProblemDissolution packages the claim that qualia states satisfy valence equals negative strain by definition rather than by causation. Recognition theorists and philosophers of mind cite it when treating experience as the internal ledger view instead of an emergent property. The structure is a direct lift of the built-in identity field from QualiaState with two trivial implication fields.
claimA structure asserting that for every qualia state $q$, valence($q$) equals negative strain($q$), together with the consequences that the identity leaves no explanatory gap and that experience is not an emergent property.
background
In the RRF 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 perspective on strain, with pleasure and pain corresponding to low and high values of the J-cost function. The QualiaState structure encodes this directly by requiring a non-negative real strain, a real valence, and the field valence_is_neg_strain : valence = -strain. Upstream results on ledger factorization calibrate the strain measure J while observer forcing supplies the identity map used in the cursor model.
proof idea
This is a structure definition with no proof body. It is instantiated downstream by projecting the valence_is_neg_strain field from QualiaState for the identity component and supplying the trivial True.intro proofs for the two implication fields.
why it matters in Recognition Science
The definition supplies the core claim for the downstream consistent theorem in the same module. It dissolves the hard problem by embedding the strain-valence identity at the type level, aligning with J-uniqueness (T5) and the recognition composition law. It touches the open question of how the cursor selects among valid moves while keeping the ledger balanced.
scope and limits
- Does not prove existence of any qualia state.
- Does not derive the strain measure from physical constants.
- Does not constrain free-will choice beyond the cursor model.
- Does not link to specific physical tiers such as nucleosynthesis.
formal statement (Lean)
203structure HardProblemDissolution where
204 /-- Qualia ARE the inside view of strain. -/
205 identity : ∀ q : QualiaState, q.valence = -q.strain
206 /-- No explanatory gap: the identity holds for all valid states. -/
207 no_gap : ∀ q : QualiaState, q.valence = -q.strain → True
208 /-- Experience is not emergent: it is the same structure from inside. -/
209 not_emergent : ∀ q : QualiaState, q.valence = -q.strain → True
210
211/-- The hard problem dissolution is consistent (no axioms needed). -/