IndisputableMonolith.Masses.HeavyQuarkFullClosureObstruction

   1import Mathlib
   2
   3/-!
   4# Heavy Quark Full-Closure Obstruction
   5
   6This module records the numerical obstruction to a full heavy-quark closure
   7from the current non-mass dimensional bridge.
   8
   9Using:
  10
  11* `E_coh_SI` from the neutron-lifetime / Fermi route, approximately
  12  `2.4101e-16 eV`;
  13* RS-native `massAtAnchor` values:
  14  charm ≈ 4981.65, bottom ≈ 8248.93, top ≈ 89392.14;
  15
  16the raw SI masses are many orders of magnitude below the PDG masses.
  17Therefore the current bridge plus `massAtAnchor` does **not** derive the
  18heavy-quark GeV masses. A further mass-sector bridge, if true, must be proved.
  19
  20This is not a physics theorem; it is an audit certificate preventing the
  21scorecards from being misread as first-principles derivations.
  22-/
  23
  24namespace IndisputableMonolith.Masses.HeavyQuarkFullClosureObstruction
  25
  26/-! ## Evaluated raw predictions from current bridge -/
  27
  28def charm_raw_eV : ℝ := 1.2006170448628038e-12
  29def bottom_raw_eV : ℝ := 1.988055339759384e-12
  30def top_raw_eV : ℝ := 2.1544198712797816e-11
  31
  32def charm_PDG_eV : ℝ := 1.27e9
  33def bottom_PDG_eV : ℝ := 4.18e9
  34def top_PDG_eV : ℝ := 172.69e9
  35
  36theorem charm_raw_far_below_PDG :
  37    charm_raw_eV < charm_PDG_eV / 1e18 := by
  38  unfold charm_raw_eV charm_PDG_eV
  39  norm_num
  40
  41theorem bottom_raw_far_below_PDG :
  42    bottom_raw_eV < bottom_PDG_eV / 1e18 := by
  43  unfold bottom_raw_eV bottom_PDG_eV
  44  norm_num
  45
  46theorem top_raw_far_below_PDG :
  47    top_raw_eV < top_PDG_eV / 1e18 := by
  48  unfold top_raw_eV top_PDG_eV
  49  norm_num
  50
  51/-! ## Required extra φ-exponents, evaluated -/
  52
  53def charm_required_phi_exponent : ℝ := 100.60116086852311
  54def bottom_required_phi_exponent : ℝ := 102.02875053742147
  55def top_required_phi_exponent : ℝ := 104.80972375767824
  56
  57theorem required_exponents_not_equal :
  58    charm_required_phi_exponent ≠ bottom_required_phi_exponent ∧
  59    bottom_required_phi_exponent ≠ top_required_phi_exponent ∧
  60    charm_required_phi_exponent ≠ top_required_phi_exponent := by
  61  unfold charm_required_phi_exponent bottom_required_phi_exponent top_required_phi_exponent
  62  norm_num
  63
  64/-- Audit conclusion: there is no single universal extra φ-exponent among the
  65three evaluated heavy-quark channels under the current bridge. -/
  66structure HeavyQuarkClosureObstructionCert where
  67  charm_below : charm_raw_eV < charm_PDG_eV / 1e18
  68  bottom_below : bottom_raw_eV < bottom_PDG_eV / 1e18
  69  top_below : top_raw_eV < top_PDG_eV / 1e18
  70  exponents_split :
  71    charm_required_phi_exponent ≠ bottom_required_phi_exponent ∧
  72    bottom_required_phi_exponent ≠ top_required_phi_exponent ∧
  73    charm_required_phi_exponent ≠ top_required_phi_exponent
  74
  75theorem heavyQuarkClosureObstructionCert_holds :
  76    HeavyQuarkClosureObstructionCert :=
  77{ charm_below := charm_raw_far_below_PDG
  78  bottom_below := bottom_raw_far_below_PDG
  79  top_below := top_raw_far_below_PDG
  80  exponents_split := required_exponents_not_equal }
  81
  82end IndisputableMonolith.Masses.HeavyQuarkFullClosureObstruction
  83