IndisputableMonolith.Physics.CKMElementScoreCard

   1import Mathlib
   2import IndisputableMonolith.Physics.CKMGeometry
   3import IndisputableMonolith.Physics.MixingDerivation
   4
   5/-!
   6# Phase 2 — P2-CKM: leading CKM magnitudes `|V_us|`, `|V_cb|`, `|V_ub|`
   7
   8**Predicted (RS / cube geometry):** `CKMGeometry` definitions
   9`V_us_pred = φ^{-3} - (3/2)α`, `V_cb_pred = 1/24`, `V_ub_pred = α/2`.
  10
  11**Observed (PDG-style):** `V_us_exp = 0.22500`, `V_cb_exp = 0.04182`, `V_ub_exp = 0.00369` with
  12`CKMGeometry` 1-sigma error bands.
  13
  14**Falsifier (one sentence):** A PDG update where any of the three elements leaves the
  15proved 1-sigma inequality `|V_pred - V_exp| < V_err` false (with fixed certified `α` and
  16`φ` inputs) refutes the corresponding geometric prediction.
  17
  18**Status:** `PARTIAL_THEOREM` (sigma matches in `CKMGeometry`); Wolfenstein packings and
  19`CKMExact` high-level parameters are separate rows.
  20
  21**Lean: 0 sorry, 0 new axiom**
  22-/
  23
  24namespace IndisputableMonolith.Physics.CKMElementScoreCard
  25
  26open IndisputableMonolith
  27open IndisputableMonolith.Physics.CKMGeometry
  28open IndisputableMonolith.Physics.MixingDerivation
  29open IndisputableMonolith.Physics.MixingGeometry
  30
  31noncomputable section
  32
  33theorem row_V_us : abs (V_us_pred - V_us_exp) < V_us_err := V_us_match
  34
  35theorem row_V_cb : abs (V_cb_pred - V_cb_exp) < V_cb_err := V_cb_match
  36
  37theorem row_V_ub : abs (V_ub_pred - V_ub_exp) < V_ub_err := V_ub_match
  38
  39theorem row_vus_eq_geometry : V_us_pred = torsion_overlap - cabibbo_radiative_correction :=
  40  vus_derived
  41
  42theorem row_vcb_eq_geometry : V_cb_pred = edge_dual_ratio := vcb_derived
  43
  44theorem row_vub_eq_leakage : V_ub_pred = fine_structure_leakage := vub_derived
  45
  46structure CKMElementScoreCardCert where
  47  vus : abs (V_us_pred - V_us_exp) < V_us_err
  48  vcb : abs (V_cb_pred - V_cb_exp) < V_cb_err
  49  vub : abs (V_ub_pred - V_ub_exp) < V_ub_err
  50  vus_geo : V_us_pred = torsion_overlap - cabibbo_radiative_correction
  51  vcb_geo : V_cb_pred = edge_dual_ratio
  52  vub_geo : V_ub_pred = fine_structure_leakage
  53
  54theorem ckmElementScoreCardCert_holds : Nonempty CKMElementScoreCardCert :=
  55  ⟨{ vus := row_V_us
  56     vcb := row_V_cb
  57     vub := row_V_ub
  58     vus_geo := row_vus_eq_geometry
  59     vcb_geo := row_vcb_eq_geometry
  60     vub_geo := row_vub_eq_leakage }⟩
  61
  62end
  63
  64end IndisputableMonolith.Physics.CKMElementScoreCard
  65