IndisputableMonolith.Verification.HonestClosureCert

   1import Mathlib
   2import IndisputableMonolith.RecogSpec.Spec
   3import IndisputableMonolith.Constants
   4
   5/-!
   6# Honest Closure Certificate
   7
   8This certificate provides **honest framing** of what the Recognition Science
   9matching certificates actually prove vs what remains placeholder.
  10
  11## What IS Certified (Non-Circular)
  12
  131. **φ-closure**: All observable formulas are algebraic in φ
  142. **Structural predicates**: K-gate, eight-tick, Born rule are PROVEN
  153. **Calibration uniqueness**: Every ledger/bridge has unique calibration
  164. **α = (1-1/φ)/2**: The fine-structure formula is φ-closed
  175. **Generation torsion {0,11,17}**: Now defined from Q₃ cube geometry
  18   (`passive_field_edges D` and `passive_field_edges D + cube_faces D`)
  19   rather than raw numerals. `CubeAdmissibleTorsion` makes the structural
  20   premise explicit, and `cubeAdmissible_forces_canonical` proves uniqueness
  21   under that premise. See `GenerationTorsionBridge`.
  22
  23## Excitation Ordering (New — `ExcitationOrdering.lean`)
  24
  256. **CW-filtration of Q₃**: Subcells typed by dimension (0-vertex, 1-edge,
  26   2-face). Passive coupling per level defined as `passiveCoupling`.
  277. **CW-cumulative torsion**: `cwCumulativeTorsion D` = {0, 11, 17} from
  28   cumulating passive couplings in CW order. Proved equal to `generationTorsion`.
  298. **J-cost strict ordering**: `Jcost_strict_mono_pos` (algebraic proof on [1,∞)),
  30   gives `J(φ⁰) = 0 < J(φ¹¹) < J(φ¹⁷)` — cost respects CW filtration.
  319. **Edge is minimal**: Among subcells with nonzero coupling, edges have the
  32   smallest CW dimension. Ordering is dimensional (not numerical: 6 < 11).
  33
  34## Torsion Forcing (Gap Closure — `TorsionForcing.lean`)
  35
  3610. **CW boundary prerequisite**: Faces (2-cells) of Q₃ are attached along
  37    edges (1-cells). Face coupling requires edge coupling. This eliminates
  38    the "face-only" profile (τ = 6), restricting admissible profiles to 3.
  3911. **RCL-forced torsion**: The `RCLForcedTorsion` predicate combines the
  40    8-tick Hamiltonian cycle, RCL additive channels, CW prerequisite,
  41    variational ground state, and 3-generation bound. Its unique solution
  42    is {0, 11, 17} (`rcl_forced_torsion_exists_unique`).
  4312. **Evaluator gap closed**: The torsion schedule is now DERIVED from
  44    independently proved ingredients. `CubeAdmissibleTorsion` follows from
  45    `RCLForcedTorsion` (`rcl_forced_implies_cubeAdmissible`).
  46
  47## What is NOT Certified (Remaining Items)
  48
  491. **Legacy evaluator ignores arguments**: `dimlessPack_explicit φ L B` still
  50   doesn't use L or B (preserved as audit surface)
  512. **No experimental comparison**: CODATA values are quarantined
  52
  53## What Changed (Cumulative)
  54
  55The generation torsion was previously raw literals `0/11/17`. It is now:
  56- Defined via cube geometry constants (`E_passive`, `cube_faces`)
  57- Uniquely forced by `CubeAdmissibleTorsion` (explicit structural predicate)
  58- Alternatively derived from CW-filtration of Q₃ (`ExcitationOrdering`)
  59- Cost-ordered via J-cost monotonicity on φ-powers
  60- **DERIVED** from RCL + 8-tick + CW topology (`TorsionForcing`)
  61
  62The CW-dimensional filtration principle has been derived from the CW boundary
  63prerequisite (a topological fact) combined with the RCL's additive channel
  64structure. No structural premises remain for the torsion schedule.
  65-/
  66
  67namespace IndisputableMonolith
  68namespace Verification
  69namespace HonestClosure
  70
  71open IndisputableMonolith.RecogSpec
  72open IndisputableMonolith.Constants
  73
  74structure HonestClosureCert where
  75  deriving Repr
  76
  77/-- Verification predicate: honest framing of what's proven.
  78
  79Part A: All observables are φ-closed (algebraic in φ)
  80Part B: Structural predicates are proven (not placeholder)
  81Part C: Calibration uniqueness is proven
  82Part D: The evaluator ignores L and B (explicit acknowledgment)
  83-/
  84@[simp] def HonestClosureCert.verified (_c : HonestClosureCert) : Prop :=
  85  -- Part A: All observables are φ-closed
  86  (∀ φ, PhiClosed φ (alphaDefault φ)) ∧
  87  (∀ φ, (massRatiosDefault φ).Forall (PhiClosed φ)) ∧
  88  (∀ φ, (mixingAnglesDefault φ).Forall (PhiClosed φ)) ∧
  89  (∀ φ, PhiClosed φ (g2Default φ)) ∧
  90  -- Part B: Structural predicates are proven (not just carried as Props)
  91  kGateWitness ∧
  92  eightTickWitness ∧
  93  bornHolds ∧
  94  -- Part C: Calibration uniqueness is proven
  95  (∀ (L : Ledger) (B : Bridge L) (A : Anchors), UniqueCalibration L B A) ∧
  96  -- Part D: The α formula equals the Constants.alphaLock
  97  (alphaDefault phi = alphaLock)
  98
  99/-- Top-level theorem: the honest closure certificate verifies. -/
 100@[simp] theorem HonestClosureCert.verified_any (c : HonestClosureCert) :
 101    HonestClosureCert.verified c := by
 102  refine ⟨?phiA, ?phiM, ?phiMix, ?phiG2, ?kgate, ?tick, ?born, ?calib, ?alphaEq⟩
 103  · -- Part A1: α is φ-closed
 104    intro φ
 105    exact phiClosed_alphaDefault φ
 106  · -- Part A2: mass ratios are φ-closed
 107    intro φ
 108    simp only [LeptonMassRatios.Forall, massRatiosDefault]
 109    exact ⟨PhiClosed.self _, phiClosed_one_div_pow _ 2, phiClosed_one_div _⟩
 110  · -- Part A3: mixing angles are φ-closed
 111    intro φ
 112    simp only [CkmMixingAngles.Forall, mixingAnglesDefault]
 113    exact ⟨phiClosed_one_div _, phiClosed_one_div_pow _ 2, phiClosed_one_div_pow _ 3⟩
 114  · -- Part A4: g-2 is φ-closed
 115    intro φ
 116    exact phiClosed_one_div_pow φ 5
 117  · -- Part B1: K-gate witness
 118    exact kGate_from_units
 119  · -- Part B2: Eight-tick witness
 120    exact eightTick_from_TruthCore
 121  · -- Part B3: Born rule
 122    exact born_from_TruthCore
 123  · -- Part C: Calibration uniqueness
 124    intro L B A
 125    exact uniqueCalibration_any L B A
 126  · -- Part D: alphaDefault phi = alphaLock
 127    -- Both are definitionally (1 - 1/phi) / 2
 128    rfl
 129
 130/-- The evaluator ignores its Ledger and Bridge arguments.
 131
 132This is an explicit acknowledgment that the current evaluator is a placeholder.
 133True structural derivation would require the evaluator to actually USE L and B. -/
 134theorem evaluator_ignores_structure :
 135    ∀ (φ : ℝ) (L₁ L₂ : Ledger) (B₁ : Bridge L₁) (B₂ : Bridge L₂),
 136      (dimlessPack_explicit φ L₁ B₁).alpha = (dimlessPack_explicit φ L₂ B₂).alpha ∧
 137      (dimlessPack_explicit φ L₁ B₁).massRatios = (dimlessPack_explicit φ L₂ B₂).massRatios ∧
 138      (dimlessPack_explicit φ L₁ B₁).mixingAngles = (dimlessPack_explicit φ L₂ B₂).mixingAngles ∧
 139      (dimlessPack_explicit φ L₁ B₁).g2Muon = (dimlessPack_explicit φ L₂ B₂).g2Muon := by
 140  intro φ L₁ L₂ B₁ B₂
 141  -- All fields depend only on φ, not on L₁, L₂, B₁, B₂
 142  simp [dimlessPack_explicit]
 143
 144end HonestClosure
 145end Verification
 146end IndisputableMonolith
 147