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definition
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module
IndisputableMonolith.URCAdapters.Audit
domain
URCAdapters
line
56 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.URCAdapters.Audit on GitHub at line 56.

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All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

used by

formal source

  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 }