chargeMap

formal source

  14  | .DownQuark   => Integers.r_down name
  15  | .Electroweak => Integers.r_boson name
  16
  17noncomputable def chargeMap (name : String) : ℚ :=
  18  match name with
  19  | "e" | "mu" | "tau" => -1
  20  | "u" | "c" | "t" => 2 / 3
  21  | "d" | "s" | "b" => -1 / 3
  22  | _ => 0
  23
  24noncomputable def gap (sector : Anchor.Sector) (name : String) : ℝ :=
  25  let Q := chargeMap name
  26  (Real.log (1 + ((ChargeIndex.Z sector Q : ℝ) / Constants.phi))) / Real.log Constants.phi
  27
  28noncomputable def predict_mass (sector : Anchor.Sector) (name : String) : ℝ :=
  29  Anchor.yardstick sector * Constants.phi ^ (rung sector name + gap sector name - 8)
  30
  31/-! ## SDGT Mass Prediction (Sector-Dependent Generation Torsion)
  32
  33The SDGT prediction uses sector-specific rungs and a cross-sector
  34correction of +E = +12 for down quarks.
  35
  36EPISTEMIC STATUS:
  37- Lepton rungs {2, 13, 19}: DERIVED from edge/face geometry
  38- Up-quark rungs {4, 17, 28}: HYPOTHESIS (from PDG same-scale ratios)
  39- Down-quark rungs {4, 10, 18}: HYPOTHESIS (from PDG same-scale ratios)
  40- Cross-sector +E shift: HYPOTHESIS (from PDG m_d > m_u requirement)
  41- The integers ARE Q₃ cell counts (Lean-proved), but the sector
  42  assignments are data-driven, not first-principles derivations.
  43-/
  44
  45/-- SDGT rung table for up quarks: {4, 17, 28}. -/
  46noncomputable def rung_sdgt_up (name : String) : ℤ :=
  47  match name with