IndisputableMonolith.Verification.FalsifierLikelihoodRegister

   1import Mathlib
   2import IndisputableMonolith.Verification.OmegaLambdaPlanckLikelihood
   3import IndisputableMonolith.Verification.CassiniStrongFieldLikelihood
   4import IndisputableMonolith.Verification.GravityS2StrongFieldLikelihood
   5import IndisputableMonolith.Verification.EHTM87StrongFieldLikelihood
   6import IndisputableMonolith.Verification.NANOGravPTALikelihood
   7import IndisputableMonolith.Verification.EPTAPTALikelihood
   8import IndisputableMonolith.Verification.DarkEnergyWPlanckLikelihood
   9import IndisputableMonolith.Verification.GWTC3RingdownStatus
  10
  11/-!
  12# Falsifier Likelihood Register
  13
  14## Status: STRUCTURAL THEOREM (0 sorry, 0 RS-internal axiom; closure 2026-05-22).
  15
  16This module aggregates Sessions 107--115: the dataset-specific
  17likelihood/status layer over the quantum-gravity master plan §7
  18falsifier register.
  19
  20The base dataset attachment layer (Session 106) proved that all ten
  21§7 rows have named datasets and positive sensitivity scales. Sessions
  22107--115 then upgraded a subset of those rows to likelihood-style or
  23status-style reproducibility artifacts.
  24
  25Current coverage:
  26
  27* **8 individual likelihood/status artifacts**:
  28  1. ΩΛ / Planck likelihood.
  29  2. Cassini strong-field likelihood.
  30  3. GRAVITY S2 strong-field likelihood.
  31  4. EHT M87* strong-field likelihood.
  32  5. NANOGrav PTA likelihood.
  33  6. EPTA PTA scope-control likelihood.
  34  7. Dark-energy constant-w likelihood.
  35  8. GWTC-3 ringdown/echo/QNM status.
  36
  37* **6 of 10 §7 rows upgraded beyond dataset-only**:
  38  echo phenomenology, ΩΛ, dark-energy w(z), QNM/ringdown, PTA stochastic
  39  GW, strong-field tests.
  40
  41* **4 of 10 §7 rows remain dataset-only/future**:
  42  BMV, Hawking temperature, leading-log entropy coefficient, Page curve.
  43
  44This is coverage accounting, not empirical confirmation.
  45Zero `sorry`. Zero new RS-specific axioms.
  46-/
  47
  48namespace IndisputableMonolith
  49namespace Verification
  50namespace FalsifierLikelihoodRegister
  51
  52/-! ## §1. Coverage counts -/
  53
  54/-- Total §7 falsifier-register rows. -/
  55def totalFalsifierRows : ℕ := 10
  56
  57/-- Rows upgraded beyond dataset-only to likelihood/status records. -/
  58def rowsWithLikelihoodOrStatus : ℕ := 6
  59
  60/-- Rows still dataset-only/future. -/
  61def datasetOnlyRows : ℕ := 4
  62
  63/-- Individual likelihood/status artifacts created in Sessions 107--115. -/
  64def individualLikelihoodArtifacts : ℕ := 8
  65
  66theorem row_coverage_arithmetic :
  67    rowsWithLikelihoodOrStatus + datasetOnlyRows = totalFalsifierRows := by
  68  unfold rowsWithLikelihoodOrStatus datasetOnlyRows totalFalsifierRows
  69  decide
  70
  71theorem individual_artifact_count_pos :
  72    0 < individualLikelihoodArtifacts := by
  73  unfold individualLikelihoodArtifacts
  74  decide
  75
  76/-! ## §2. Aggregate certificate -/
  77
  78/-- Aggregate certificate for the likelihood/status register. -/
  79structure FalsifierLikelihoodRegisterCert where
  80  omegaLambda :
  81    Nonempty OmegaLambdaPlanckLikelihood.OmegaLambdaPlanckLikelihoodCert
  82  cassini :
  83    Nonempty CassiniStrongFieldLikelihood.CassiniStrongFieldLikelihoodCert
  84  gravityS2 :
  85    Nonempty GravityS2StrongFieldLikelihood.GravityS2StrongFieldLikelihoodCert
  86  ehtM87 :
  87    Nonempty EHTM87StrongFieldLikelihood.EHTM87StrongFieldLikelihoodCert
  88  nanograv :
  89    Nonempty NANOGravPTALikelihood.NANOGravPTALikelihoodCert
  90  epta :
  91    Nonempty EPTAPTALikelihood.EPTAPTALikelihoodCert
  92  darkEnergyW :
  93    Nonempty DarkEnergyWPlanckLikelihood.DarkEnergyWPlanckLikelihoodCert
  94  gwtc3 :
  95    Nonempty GWTC3RingdownStatus.GWTC3RingdownStatusCert
  96  row_coverage :
  97    rowsWithLikelihoodOrStatus + datasetOnlyRows = totalFalsifierRows
  98  individual_artifacts_positive :
  99    0 < individualLikelihoodArtifacts
 100
 101def falsifierLikelihoodRegisterCert : FalsifierLikelihoodRegisterCert where
 102  omegaLambda := OmegaLambdaPlanckLikelihood.omegaLambdaPlanckLikelihoodCert_inhabited
 103  cassini := CassiniStrongFieldLikelihood.cassiniStrongFieldLikelihoodCert_inhabited
 104  gravityS2 := GravityS2StrongFieldLikelihood.gravityS2StrongFieldLikelihoodCert_inhabited
 105  ehtM87 := EHTM87StrongFieldLikelihood.ehtM87StrongFieldLikelihoodCert_inhabited
 106  nanograv := NANOGravPTALikelihood.nanogravPTALikelihoodCert_inhabited
 107  epta := EPTAPTALikelihood.eptaPTALikelihoodCert_inhabited
 108  darkEnergyW := DarkEnergyWPlanckLikelihood.darkEnergyWPlanckLikelihoodCert_inhabited
 109  gwtc3 := GWTC3RingdownStatus.gwtc3RingdownStatusCert_inhabited
 110  row_coverage := row_coverage_arithmetic
 111  individual_artifacts_positive := individual_artifact_count_pos
 112
 113theorem falsifierLikelihoodRegisterCert_inhabited :
 114    Nonempty FalsifierLikelihoodRegisterCert :=
 115  ⟨falsifierLikelihoodRegisterCert⟩
 116
 117/-! ## §3. One-statement coverage theorem -/
 118
 119/-- One-statement coverage theorem for the §7 likelihood/status layer. -/
 120theorem falsifier_likelihood_register_one_statement :
 121    (individualLikelihoodArtifacts = 8) ∧
 122    (rowsWithLikelihoodOrStatus = 6) ∧
 123    (datasetOnlyRows = 4) ∧
 124    (totalFalsifierRows = 10) ∧
 125    (rowsWithLikelihoodOrStatus + datasetOnlyRows = totalFalsifierRows) ∧
 126    Nonempty FalsifierLikelihoodRegisterCert :=
 127  ⟨rfl, rfl, rfl, rfl, row_coverage_arithmetic,
 128   falsifierLikelihoodRegisterCert_inhabited⟩
 129
 130end FalsifierLikelihoodRegister
 131end Verification
 132end IndisputableMonolith
 133