IndisputableMonolith.Verification.CalibrationPolicy

   1import Mathlib
   2import IndisputableMonolith.Constants
   3
   4namespace IndisputableMonolith
   5namespace Verification
   6
   7/-!
   8# Calibration Policy: Dimensionless vs SI Constants
   9
  10This module formalizes the **calibration policy** for Recognition Science:
  11how dimensionless predictions (derived from φ alone) relate to SI-anchored
  12numerical values.
  13
  14## The Key Distinction
  15
  161. **Dimensionless predictions**: ratios, exponents, and relations that follow
  17   from φ = (1 + √5)/2 with no external input. These are truly "zero-parameter".
  18
  192. **SI-anchored predictions**: numerical values in SI units that require at
  20   least one external anchor (e.g., CODATA ℏ) to set the scale.
  21
  22## Policy Options
  23
  24- **Dimensionless-only mode**: Only claim what's derivable from φ. All SI
  25  constants are treated as external calibration inputs.
  26
  27- **Single-anchor mode**: Fix exactly one SI constant (e.g., ℏ from CODATA)
  28  as the anchor, then derive all other SI values from it via the φ-based
  29  relations.
  30
  31## Current Status
  32
  33The `Constants.lean` file uses **placeholder values** (hbar=1, G=1, c=1).
  34This is dimensionless-only mode: we can derive ratios and relations, but
  35not SI numerics.
  36
  37To claim SI predictions, we would need to either:
  381. Accept an external anchor (breaking "no external input")
  392. Or have an internal mechanism to fix absolute scale (not yet formalized)
  40
  41-/
  42
  43open Constants
  44
  45/-! ### Dimensionless Predictions -/
  46
  47/-- A dimensionless prediction is a real number derived purely from φ. -/
  48structure DimensionlessPrediction where
  49  /-- The numerical value (ratio, exponent, etc.) -/
  50  value : ℝ
  51  /-- How it's computed from φ -/
  52  formula : String
  53  /-- Whether it's been verified in Lean -/
  54  verified : Bool
  55
  56/-- Standard dimensionless predictions from RS. -/
  57noncomputable def dimensionlessPredictions : List DimensionlessPrediction :=
  58  [
  59    { value := 137.036, formula := "α⁻¹ from 8π²/(φ·ln(φ²))·correction", verified := false },
  60    { value := phi, formula := "φ = (1 + √5)/2", verified := true },
  61    { value := phi^2, formula := "φ² = φ + 1", verified := true },
  62    { value := phi^(-5 : ℝ), formula := "E_coh/E_ref = φ⁻⁵", verified := true },
  63    { value := 8, formula := "τ-cycle = 2³ = 8 (D=3)", verified := true }
  64  ]
  65
  66/-! ### SI-Anchored Predictions -/
  67
  68/-- An SI anchor is an externally provided numerical value that sets absolute scale. -/
  69structure SIAnchor where
  70  /-- Name of the anchored constant -/
  71  name : String
  72  /-- SI numerical value -/
  73  value : ℝ
  74  /-- Source (e.g., "CODATA 2022") -/
  75  source : String
  76  /-- Unit string (e.g., "J·s") -/
  77  unit : String
  78
  79/-- CODATA ℏ as the canonical single anchor.
  80
  81    Value: 1.054571817 × 10⁻³⁴ J·s (exact by SI definition since 2019) -/
  82noncomputable def hbar_anchor : SIAnchor :=
  83  { name := "ℏ (reduced Planck constant)"
  84  , value := 1.054571817e-34
  85  , source := "CODATA 2022 (SI 2019 exact)"
  86  , unit := "J·s" }
  87
  88/-- An SI-anchored prediction requires an anchor and derives from φ. -/
  89structure SIAnchoredPrediction where
  90  /-- The predicted quantity name -/
  91  name : String
  92  /-- The anchor used -/
  93  anchor : SIAnchor
  94  /-- The predicted SI value -/
  95  value : ℝ
  96  /-- The derivation path -/
  97  derivation : String
  98
  99/-! ### Calibration Modes -/
 100
 101/-- Calibration mode: how absolute scale is determined. -/
 102inductive CalibrationMode where
 103  /-- Only dimensionless predictions; no SI claims -/
 104  | DimensionlessOnly : CalibrationMode
 105  /-- Single anchor (e.g., ℏ from CODATA) fixes scale -/
 106  | SingleAnchor : SIAnchor → CalibrationMode
 107  /-- No anchor yet chosen (placeholder mode) -/
 108  | Placeholder : CalibrationMode
 109
 110/-- The current calibration mode for the framework. -/
 111def currentCalibrationMode : CalibrationMode :=
 112  CalibrationMode.Placeholder
 113
 114/-- Predicate: SI predictions are valid only in anchored mode. -/
 115def canMakeSIPredictions (mode : CalibrationMode) : Bool :=
 116  match mode with
 117  | .SingleAnchor _ => true
 118  | _ => false
 119
 120/-! ### Honest Claims -/
 121
 122/-- The honest claim about constants in dimensionless-only mode. -/
 123def dimensionlessOnlyClaim : String :=
 124  "RS derives all dimensionless ratios (α⁻¹, mass ratios, etc.) from φ alone. " ++
 125  "SI numerical values require an external anchor (e.g., CODATA ℏ). " ++
 126  "No SI constants are claimed to be 'derived internally' in the current formalization."
 127
 128/-- The honest claim about constants in single-anchor mode. -/
 129def singleAnchorClaim (anchor : SIAnchor) : String :=
 130  "RS derives all SI constants from φ plus one external anchor: " ++ anchor.name ++
 131  " (" ++ anchor.source ++ "). " ++
 132  "All other SI values follow from φ-based relations applied to this anchor."
 133
 134/-! ### Summary
 135
 136The calibration policy makes clear:
 137
 1381. **What RS can claim without external input**: dimensionless ratios and relations
 1392. **What requires external input**: SI numerical values
 1403. **Current status**: placeholder mode (hbar=G=c=1), so no SI predictions
 141
 142This addresses the audit finding that "SI constants include placeholders and/or
 143require explicit anchors" by making the distinction formal and explicit.
 144-/
 145
 146/-! ## Particle Mass Module Calibration Seams
 147
 148The following modules use SI units (MeV) and must acknowledge the calibration seam:
 149
 150| Module | Status | Seam Note |
 151|--------|--------|-----------|
 152| `Physics/ElectronMass/Defs.lean` | ✓ Documented | mass_ref_MeV has explicit seam note |
 153| `Physics/QuarkMasses.lean` | ✓ Documented | Full calibration seam section added |
 154| `Physics/NeutrinoSector.lean` | ✓ Documented | Unit/calibration note section |
 155| `Physics/ElectronMass.lean` | Inherits from Defs | Uses electron_residue |
 156
 157**Key Points**:
 1581. `electron_structural_mass ≈ 10857` is dimensionless (2^(-22) × φ^51)
 1592. When compared to PDG values, it's treated *as if* in MeV
 1603. This is a display convention, not a derivation of MeV from first principles
 1614. The PDG values (e.g., 172690 MeV for top quark) are external inputs
 162
 163-/
 164
 165/-- List of modules that use SI units with proper calibration documentation -/
 166def calibratedModules : List String := [
 167  "Physics/ElectronMass/Defs.lean",
 168  "Physics/QuarkMasses.lean",
 169  "Physics/NeutrinoSector.lean"
 170]
 171
 172/-- Calibration compliance check (for audits) -/
 173structure CalibrationCompliance where
 174  module : String
 175  hasSeamNote : Bool
 176  siUnitsUsed : List String
 177
 178def quarkMassCompliance : CalibrationCompliance :=
 179  { module := "Physics/QuarkMasses.lean"
 180  , hasSeamNote := true
 181  , siUnitsUsed := ["MeV"] }
 182
 183def neutrinoCompliance : CalibrationCompliance :=
 184  { module := "Physics/NeutrinoSector.lean"
 185  , hasSeamNote := true
 186  , siUnitsUsed := ["eV"] }
 187
 188def electronMassCompliance : CalibrationCompliance :=
 189  { module := "Physics/ElectronMass/Defs.lean"
 190  , hasSeamNote := true
 191  , siUnitsUsed := ["MeV"] }
 192
 193end Verification
 194end IndisputableMonolith
 195