IndisputableMonolith.Verification.Track6FalsifierSensitivity

   1import Mathlib
   2import IndisputableMonolith.Gravity.DiscriminatorMatrix
   3import IndisputableMonolith.Gravity.StrongFieldStructural
   4import IndisputableMonolith.Verification.FalsifierRegisterDatasets
   5import IndisputableMonolith.Verification.FalsifierLikelihoodRegister
   6import IndisputableMonolith.Verification.GWTC3RingdownSharedRunner
   7
   8/-!
   9# Track 6 Falsifier Sensitivity Certificate
  10
  11## Status: STRUCTURAL THEOREM.
  12
  13No placeholder proofs and no new RS-internal assumptions.
  14
  15This module is the Fork F integration endpoint for Track 6 of
  16`Quantum_Gravity_Discovery_Master_Plan_20260521.html`.
  17
  18It does not add a new observational lane.  It packages the Track 6 work that
  19already exists in the tree:
  20
  21* theorem-grade phi-derived discriminator matrix
  22  (`Gravity.DiscriminatorMatrix`);
  23* named dataset/sensitivity attachments for all falsifier-register rows
  24  (`Verification.FalsifierRegisterDatasets`);
  25* likelihood/status coverage for the rows already upgraded beyond dataset-only
  26  (`Verification.FalsifierLikelihoodRegister`);
  27* the guarded GWTC-3 ringdown family runner, which prevents mixed-family
  28  posterior aggregation in the QNM/echo damping path
  29  (`Verification.GWTC3RingdownSharedRunner`).
  30
  31The certificate is intentionally conservative.  It proves that Track 6 has a
  32single Lean-facing sensitivity package with named channels and guarded
  33reproducibility surfaces.  It does not claim empirical confirmation, and it
  34does not upgrade the still-structural PTA / strong-field / ringdown physics
  35into a final discovery statement.
  36-/
  37
  38namespace IndisputableMonolith
  39namespace Verification
  40namespace Track6FalsifierSensitivity
  41
  42open IndisputableMonolith.Gravity.DiscriminatorMatrix
  43open IndisputableMonolith.Gravity.StrongFieldStructural
  44open IndisputableMonolith.Verification.FalsifierRegisterDatasets
  45open IndisputableMonolith.Verification.FalsifierLikelihoodRegister
  46open IndisputableMonolith.Verification.GWTC3RingdownSharedRunner
  47
  48/-! ## §1. Track 6 coverage counts -/
  49
  50/-- The current theorem-grade discriminator sectors: leading-log entropy,
  51echo damping, and rung phase. -/
  52def theoremGradeDiscriminatorSectors : Nat := 3
  53
  54/-- The rival rows required by Track 6.D: LQG, string, CDT / causal sets,
  55and Bohmian / Diosi-Penrose. -/
  56def rivalRowsCovered : Nat := 4
  57
  58/-- The falsifier-register rows with named dataset attachments. -/
  59def falsifierRowsWithDatasetAttachments : Nat :=
  60  FalsifierLikelihoodRegister.totalFalsifierRows
  61
  62/-- Rows upgraded beyond dataset-only status by likelihood/status artifacts. -/
  63def rowsWithLikelihoodOrStatusRecords : Nat :=
  64  FalsifierLikelihoodRegister.rowsWithLikelihoodOrStatus
  65
  66/-- Current mapped GWTC-3 ringdown families accepted by the guarded runner. -/
  67def guardedRingdownFamilies : Nat :=
  68  GWTC3RingdownSharedRunner.refactoredFamilyScriptCount
  69
  70/-- Current supported ringdown observable mappings in the shared runner. -/
  71def guardedRingdownMappings : Nat :=
  72  GWTC3RingdownSharedRunner.supportedMappingCount
  73
  74theorem theorem_grade_discriminator_sector_count :
  75    theoremGradeDiscriminatorSectors = 3 := rfl
  76
  77theorem rival_rows_covered_count :
  78    rivalRowsCovered = 4 := rfl
  79
  80theorem dataset_attachment_row_count :
  81    falsifierRowsWithDatasetAttachments = 10 := rfl
  82
  83theorem likelihood_or_status_row_count :
  84    rowsWithLikelihoodOrStatusRecords = 6 := rfl
  85
  86theorem guarded_ringdown_family_count :
  87    guardedRingdownFamilies = 3 := rfl
  88
  89theorem guarded_ringdown_mapping_count :
  90    guardedRingdownMappings = 2 := rfl
  91
  92theorem guarded_ringdown_mapping_count_pos :
  93    0 < guardedRingdownMappings := by
  94  unfold guardedRingdownMappings
  95  exact GWTC3RingdownSharedRunner.supported_mapping_count_pos
  96
  97/-! ## §2. Track 6 endpoint certificate -/
  98
  99/-- Fork F Track 6 certificate.
 100
 101The fields are exactly the integration-lane handoff requirements:
 102theorem-grade discriminators, per-rival matrix coverage, dataset attachments,
 103likelihood/status coverage, and guarded GWTC-3 ringdown processing. -/
 104structure Track6FalsifierSensitivityCert where
 105  /-- At least three independent theorem-grade discriminator sectors exist. -/
 106  discriminator_sector_count :
 107    theoremGradeDiscriminatorSectors = 3
 108  /-- The four required rival rows have per-rival distinguishability. -/
 109  rival_row_count :
 110    rivalRowsCovered = 4
 111  /-- The full 4 x 3 discriminator matrix is inhabited. -/
 112  discriminator_matrix :
 113    Nonempty IndisputableMonolith.Gravity.DiscriminatorMatrix.DiscriminatorMatrixCert
 114  /-- Track 6.D's "at least one cell per rival" requirement is inhabited. -/
 115  per_rival_distinguishability :
 116    Nonempty IndisputableMonolith.Gravity.DiscriminatorMatrix.PerRivalDistinguishability
 117  /-- The strong-field structural phi-deviation is theorem-grade positive. -/
 118  strong_field_structural :
 119    Nonempty IndisputableMonolith.Gravity.StrongFieldStructural.StrongFieldStructuralCert
 120  /-- Every falsifier-register row has a named dataset and positive scales. -/
 121  dataset_register :
 122    Nonempty FalsifierRegisterDatasets.FalsifierDatasetRegisterCert
 123  /-- Six rows have been upgraded to likelihood/status artifacts so far. -/
 124  likelihood_register :
 125    Nonempty FalsifierLikelihoodRegister.FalsifierLikelihoodRegisterCert
 126  /-- The likelihood/status coverage accounting is arithmetically closed. -/
 127  likelihood_row_accounting :
 128    FalsifierLikelihoodRegister.rowsWithLikelihoodOrStatus +
 129      FalsifierLikelihoodRegister.datasetOnlyRows =
 130        FalsifierLikelihoodRegister.totalFalsifierRows
 131  /-- The currently implemented GWTC-3 damping path is family-guarded. -/
 132  guarded_ringdown_runner :
 133    Nonempty GWTC3RingdownSharedRunner.GWTC3RingdownSharedRunnerCert
 134  /-- The guarded runner has at least one supported observable mapping. -/
 135  guarded_ringdown_mappings_positive :
 136    0 < guardedRingdownMappings
 137
 138/-- Fork F endpoint certificate instance. -/
 139def track6FalsifierSensitivityCert : Track6FalsifierSensitivityCert where
 140  discriminator_sector_count := theorem_grade_discriminator_sector_count
 141  rival_row_count := rival_rows_covered_count
 142  discriminator_matrix :=
 143    IndisputableMonolith.Gravity.DiscriminatorMatrix.discriminatorMatrixFull_inhabited
 144  per_rival_distinguishability :=
 145    ⟨IndisputableMonolith.Gravity.DiscriminatorMatrix.perRivalDistinguishability_holds⟩
 146  strong_field_structural :=
 147    IndisputableMonolith.Gravity.StrongFieldStructural.strongFieldStructuralCert_inhabited
 148  dataset_register :=
 149    FalsifierRegisterDatasets.falsifierDatasetRegisterCert_inhabited
 150  likelihood_register :=
 151    FalsifierLikelihoodRegister.falsifierLikelihoodRegisterCert_inhabited
 152  likelihood_row_accounting :=
 153    FalsifierLikelihoodRegister.row_coverage_arithmetic
 154  guarded_ringdown_runner :=
 155    GWTC3RingdownSharedRunner.gwtc3RingdownSharedRunnerCert_inhabited
 156  guarded_ringdown_mappings_positive :=
 157    guarded_ringdown_mapping_count_pos
 158
 159theorem track6FalsifierSensitivityCert_inhabited :
 160    Nonempty Track6FalsifierSensitivityCert :=
 161  ⟨track6FalsifierSensitivityCert⟩
 162
 163/-! ## §3. One-statement handoff theorem -/
 164
 165/-- **Fork F handoff theorem.**
 166
 167Track 6 has a single integration endpoint: three theorem-grade
 168discriminator sectors, four rival rows covered by the discriminator matrix,
 169all ten falsifier-register rows dataset-attached, six rows upgraded to
 170likelihood/status records, and a guarded GWTC-3 ringdown runner with two
 171supported observable mappings. -/
 172theorem track6_falsifier_sensitivity_one_statement :
 173    (theoremGradeDiscriminatorSectors = 3) ∧
 174    (rivalRowsCovered = 4) ∧
 175    (falsifierRowsWithDatasetAttachments = 10) ∧
 176    (rowsWithLikelihoodOrStatusRecords = 6) ∧
 177    (guardedRingdownFamilies = 3) ∧
 178    (guardedRingdownMappings = 2) ∧
 179    Nonempty Track6FalsifierSensitivityCert :=
 180  ⟨theorem_grade_discriminator_sector_count,
 181   rival_rows_covered_count,
 182   dataset_attachment_row_count,
 183   likelihood_or_status_row_count,
 184   guarded_ringdown_family_count,
 185   guarded_ringdown_mapping_count,
 186   track6FalsifierSensitivityCert_inhabited⟩
 187
 188end Track6FalsifierSensitivity
 189end Verification
 190end IndisputableMonolith
 191