IndisputableMonolith.Masses.ChargedLeptonMassScoreCard

   1import Mathlib
   2import IndisputableMonolith.Masses.QuarkScoreCard
   3import IndisputableMonolith.Masses.Verification
   4import IndisputableMonolith.Constants
   5
   6/-!
   7# Phase 2 — P2-LEP: charged lepton masses `e`, `μ`, `τ`
   8
   9**Predicted (RS):** `Verification.rs_mass_MeV` on lepton rungs 2, 13, 19 with
  10`ZOf = 1332` (charged leptons), versus PDG reference masses in `Verification` (`m_e_exp`, …).
  11
  12**Falsifier (one sentence):** A PDG update that places any of the three masses outside the
  13stated percent bands once the `rs_mass_MeV` rung map is held fixed falsifies the mass row.
  14
  15**Status:** `PARTIAL_THEOREM` on relative error and mass-ratio ladders; the same gap/anchor
  16residual as quarks remains if one demands `rs_mass_MeV = M0 * exp((rung-8+gap) log φ)`.
  17
  18**Lean: 0 sorry, 0 new axiom**
  19-/
  20
  21namespace IndisputableMonolith.Masses.ChargedLeptonMassScoreCard
  22
  23open IndisputableMonolith.Masses.QuarkScoreCard
  24open IndisputableMonolith.Masses.Verification
  25open IndisputableMonolith.Constants
  26
  27noncomputable section
  28
  29theorem row_electron_rel :
  30    |rs_mass_MeV .Lepton 2 - m_e_exp| / m_e_exp < 0.003 := row_electron_pct
  31
  32theorem row_muon_rel :
  33    |rs_mass_MeV .Lepton 13 - m_mu_exp| / m_mu_exp < 0.04 := row_muon_pct
  34
  35theorem row_tau_rel :
  36    |rs_mass_MeV .Lepton 19 - m_tau_exp| / m_tau_exp < 0.03 := row_tau_pct
  37
  38theorem row_muon_electron_ratio :
  39    |phi ^ (11 : ℕ) - ratio_mu_e_exp| / ratio_mu_e_exp < 0.04 := row_muon_electron_ratio_pct
  40
  41theorem row_tau_electron_ratio :
  42    |phi ^ (17 : ℕ) - ratio_tau_e_exp| / ratio_tau_e_exp < 0.03 := row_tau_electron_ratio_pct
  43
  44structure ChargedLeptonMassScoreCardCert where
  45  electron : |rs_mass_MeV .Lepton 2 - m_e_exp| / m_e_exp < 0.003
  46  muon : |rs_mass_MeV .Lepton 13 - m_mu_exp| / m_mu_exp < 0.04
  47  tau : |rs_mass_MeV .Lepton 19 - m_tau_exp| / m_tau_exp < 0.03
  48  muon_e : |phi ^ (11 : ℕ) - ratio_mu_e_exp| / ratio_mu_e_exp < 0.04
  49  tau_e : |phi ^ (17 : ℕ) - ratio_tau_e_exp| / ratio_tau_e_exp < 0.03
  50
  51theorem chargedLeptonMassScoreCardCert_holds : Nonempty ChargedLeptonMassScoreCardCert :=
  52  ⟨{ electron := row_electron_rel
  53     muon := row_muon_rel
  54     tau := row_tau_rel
  55     muon_e := row_muon_electron_ratio
  56     tau_e := row_tau_electron_ratio }⟩
  57
  58end
  59
  60end IndisputableMonolith.Masses.ChargedLeptonMassScoreCard
  61