IndisputableMonolith.URCAdapters.Audit

   1import Mathlib
   2import IndisputableMonolith.URCGenerators.Numeric
   3
   4namespace IndisputableMonolith
   5namespace URCAdapters
   6
   7/-!
   8Audit scaffolding (M1): emit a deterministic JSON summary of a minimal set
   9of already-proven, unitless invariants. This is a placeholder surface that
  10will be extended in later milestones to include numeric values and
  11scale-declared running quantities.
  12-/
  13
  14structure AuditItem where
  15  name              : String
  16  category          : String
  17  status            : String   -- "Proven" | "Scaffold" | "Planned"
  18  usesExternalInput : Bool
  19  value             : Option String := none
  20deriving Repr
  21
  22/-! Numeric helpers for rational approximations (pure, computable). -/
  23
  24namespace NumFmt
  25
  26def pow10 (d : Nat) : Nat := Nat.pow 10 d
  27
  28def padLeftZeros (s : String) (len : Nat) : String :=
  29  let deficit := if s.length ≥ len then 0 else len - s.length
  30  let rec mkZeros (n : Nat) (acc : String) : String :=
  31    match n with
  32    | 0 => acc
  33    | n+1 => mkZeros n ("0" ++ acc)
  34  mkZeros deficit s
  35
  36/-- Render a rational q = n / m to a fixed d-decimal string. -/
  37def ratToDecimal (n : Int) (m : Nat) (d : Nat) : String :=
  38  let sign := if n < 0 then "-" else ""
  39  let nAbs : Nat := Int.natAbs n
  40  if m = 0 then sign ++ "NaN" else
  41  let scale := pow10 d
  42  let scaled : Nat := (nAbs * scale) / m
  43  let ip : Nat := scaled / scale
  44  let fp : Nat := scaled % scale
  45  let fpStr := padLeftZeros (toString fp) d
  46  sign ++ toString ip ++ (if d = 0 then "" else "." ++ fpStr)
  47
  48end NumFmt
  49
  50private def boolToJson (b : Bool) : String := if b then "true" else "false"
  51
  52private def escape (s : String) : String :=
  53  -- Minimal escaping for JSON content used here
  54  s.replace "\"" "\\\""
  55
  56private def quote (s : String) : String := "\"" ++ escape s ++ "\""
  57
  58private def AuditItem.toJson (i : AuditItem) : String :=
  59  let fields := [
  60      "\"name\":" ++ quote i.name
  61    , "\"category\":" ++ quote i.category
  62    , "\"status\":" ++ quote i.status
  63    , "\"usesExternalInput\":" ++ boolToJson i.usesExternalInput
  64    ]
  65  let fields := match i.value with
  66    | some v => fields ++ ["\"value\":" ++ quote v]
  67    | none   => fields
  68  "{" ++ String.intercalate "," fields ++ "}"
  69
  70/--- Compute α^{-1} ≈ 4π·11 − (f_gap + δ_κ) using rationals.
  71  Use high-precision rationals: π ≈ 104348/33215 (|Δπ|≈3e−12), φ ≈ 161803399/100000000.
  72  Let f_gap = w8 * ln φ with w8 ≈ 2.488254397846. ln φ via ln(1 + 1/φ) alternating series. -/
  73def alphaInvValue : String :=
  74  IndisputableMonolith.URCGenerators.Numeric.alphaInvValueStr
  75
  76def auditItems : List AuditItem :=
  77  [ { name := "EightTickMinimality", category := "Timing", status := "Proven", usesExternalInput := false, value := some "1" }
  78  , { name := "Gap45_Delta_t_3_over_64", category := "Timing", status := "Proven", usesExternalInput := false, value := some "0.046875" }
  79  , { name := "UnitsInvariance", category := "Bridge", status := "Proven", usesExternalInput := false, value := some "1" }
  80  , { name := "KGate", category := "Bridge", status := "Proven", usesExternalInput := false, value := some "1" }
  81  , { name := "PlanckNormalization", category := "Identity", status := "Proven", usesExternalInput := false, value := some "0.31830988618" }
  82  , { name := "RSRealityMaster", category := "Bundle", status := "Proven", usesExternalInput := false, value := some "1" }
  83  , { name := "AlphaInvPrediction", category := "QED", status := "Proven", usesExternalInput := false, value := some alphaInvValue }
  84  -- EW/QCD scaffolding (placeholders; no numeric values yet)
  85  , { name := "Sin2ThetaW_at_MZ", category := "EW", status := "Planned", usesExternalInput := true }
  86  , { name := "MW_over_MZ", category := "EW", status := "Planned", usesExternalInput := true }
  87  , { name := "AlphaS_at_MZ", category := "QCD", status := "Planned", usesExternalInput := true }
  88  -- Flavor mixing (CKM): planned, external inputs for visibility
  89  , { name := "CKM_theta12_at_MZ", category := "CKM", status := "Planned", usesExternalInput := true }
  90  , { name := "CKM_theta23_at_MZ", category := "CKM", status := "Planned", usesExternalInput := true }
  91  , { name := "CKM_theta13_at_MZ", category := "CKM", status := "Planned", usesExternalInput := true }
  92  , { name := "CKM_deltaCP", category := "CKM", status := "Planned", usesExternalInput := true }
  93  , { name := "CKM_Jarlskog_J", category := "CKM", status := "Planned", usesExternalInput := true }
  94  -- Flavor mixing (PMNS): planned, external inputs for visibility
  95  , { name := "PMNS_theta12", category := "PMNS", status := "Planned", usesExternalInput := true }
  96  , { name := "PMNS_theta23", category := "PMNS", status := "Planned", usesExternalInput := true }
  97  , { name := "PMNS_theta13", category := "PMNS", status := "Planned", usesExternalInput := true }
  98  , { name := "PMNS_deltaCP", category := "PMNS", status := "Planned", usesExternalInput := true }
  99  , { name := "PMNS_Jarlskog_J", category := "PMNS", status := "Planned", usesExternalInput := true }
 100  -- Mass ratio family (explicit φ-powers). Example mapping from Source.txt RUNG_EXAMPLES
 101  , { name := "FamilyRatio_Leptons_e_over_mu", category := "MassRatios", status := "Scaffold", usesExternalInput := false,
 102      value := some (IndisputableMonolith.URCGenerators.Numeric.phiPowValueStr (-11) 12) }
 103  , { name := "FamilyRatio_Leptons_mu_over_tau", category := "MassRatios", status := "Scaffold", usesExternalInput := false,
 104      value := some (IndisputableMonolith.URCGenerators.Numeric.phiPowValueStr (-6) 12) }
 105  , { name := "ThetaBar_Bound", category := "QCD", status := "Proven", usesExternalInput := false, value := some "0" }
 106  , { name := "ElectronG2", category := "QED", status := "Scaffold", usesExternalInput := true, value := some "0.001159652181" }
 107  , { name := "MuonG2", category := "QED", status := "Scaffold", usesExternalInput := true, value := some "0.00116591810" }
 108  ]
 109
 110def cosmologyItems : List AuditItem :=
 111  [ { name := "Omega_b", category := "Cosmology", status := "Planned", usesExternalInput := true }
 112  , { name := "Omega_c", category := "Cosmology", status := "Planned", usesExternalInput := true }
 113  , { name := "Omega_Lambda", category := "Cosmology", status := "Planned", usesExternalInput := true }
 114  , { name := "Omega_k", category := "Cosmology", status := "Planned", usesExternalInput := true }
 115  , { name := "n_s", category := "Cosmology", status := "Planned", usesExternalInput := true }
 116  , { name := "r", category := "Cosmology", status := "Planned", usesExternalInput := true }
 117  , { name := "eta_B", category := "Cosmology", status := "Planned", usesExternalInput := true }
 118  , { name := "N_eff", category := "Cosmology", status := "Planned", usesExternalInput := true }
 119  ]
 120
 121def audit_json_report : String :=
 122  let body := String.intercalate "," (auditItems.map (fun i => AuditItem.toJson i))
 123  let cosmo := String.intercalate "," (cosmologyItems.map (fun i => AuditItem.toJson i))
 124  "{\"items\":[" ++ body ++ "],\"cosmology\":[" ++ cosmo ++ "]}"
 125
 126def runAudit : IO Unit := do
 127  IO.println audit_json_report
 128
 129def main : IO Unit := runAudit
 130
 131end URCAdapters
 132end IndisputableMonolith
 133
 134def main : IO Unit := IndisputableMonolith.URCAdapters.runAudit
 135