canonicalLayerSysPlus

formal source

 749
 750/-- The canonical linked system built from the verified cost, `φ`, ledger, and
 751    octave layers. -/
 752noncomputable def canonicalLayerSysPlus (n : ℕ) : LayerSysPlusObj n where
 753  costLayer := canonicalCostAlgebra
 754  phiLayer := canonicalPhiRingObj
 755  ledgerLayer := canonicalLedgerAlgObj n
 756  octaveLayer := canonicalOctaveAlgObj
 757  bridge_cost_phi := by
 758    simpa [canonicalCostAlgebra] using PhiRing.J_at_phi
 759  bridge_phi_octave := OctaveAlgebra.modeToken_card
 760
 761/-! ## §5. Functors to Domain Algebras -/
 762
 763/-- A **domain instance** is a functor from RecAlg to a specific domain.
 764    Each domain algebra (qualia, ethics, semantics, etc.) is obtained by
 765    applying such a functor to the canonical Recognition Algebra. -/
 766structure DomainInstance where
 767  /-- Name of the domain -/
 768  name : String
 769  /-- The state space of this domain -/
 770  stateType : Type
 771  /-- How to embed cost into domain-specific measurement -/
 772  costEmbed : ℝ → ℝ
 773  /-- The embedding preserves ordering (monotone) -/
 774  monotone : ∀ a b : ℝ, a ≤ b → costEmbed a ≤ costEmbed b
 775
 776/-- **Qualia domain instance**: strain = phase_mismatch × J(intensity) -/
 777noncomputable def qualiaDomain : DomainInstance where
 778  name := "Qualia (ULQ)"
 779  stateType := Unit  -- Placeholder for actual qualia state
 780  costEmbed := fun j => j  -- Identity embedding (J-cost IS qualia strain)
 781  monotone := fun _ _ h => h
 782