IndisputableMonolith.Masses.TopQuarkMassScoreCard

   1import Mathlib
   2import IndisputableMonolith.Masses.Verification
   3import IndisputableMonolith.Masses.QuarkScoreCard
   4
   5/-!
   6# Phase 2 — P2-t: top quark structural mass (φ-ladder, order-of-magnitude row)
   7
   8**Predicted (RS):** `top_quark_pred = φ^51 / 2,000,000` MeV (`Verification`).
   9
  10**Measurement anchor:** PDG 2024 center `m_t ≈ 172.69` GeV $=$ `172690` MeV (reference only; no
  11tight match is claimed in `Verification`).
  12
  13**Falsifier (one sentence):** A PDG or RS φ-update that forces `top_quark_pred` outside
  14`$(10^4,10^6)$` MeV with the current structural definition falsifies the
  15order-magnitude scorecard (same inequality as `top_quark_pred_order`).
  16
  17**Status:** `PARTIAL_THEOREM` on positivity, exact `t/c = φ^6`, and the wide MeV
  18interval; no sub-percent absolute mass match to `172690` MeV (same residual family as
  19`QuarkScoreCard` / `QuarkAbsoluteBridgeScoreCard`).
  20
  21**Lean: 0 sorry, 0 new axiom**
  22-/
  23
  24namespace IndisputableMonolith.Masses.TopQuarkMassScoreCard
  25
  26open IndisputableMonolith
  27open IndisputableMonolith.Masses.Verification
  28open IndisputableMonolith.Masses.QuarkScoreCard
  29open IndisputableMonolith.Constants
  30
  31noncomputable section
  32
  33def row_pdg_top_MeV : ℝ := 172690
  34
  35theorem row_pdg_top_positive : 0 < row_pdg_top_MeV := by unfold row_pdg_top_MeV; norm_num
  36
  37theorem row_top_pos : 0 < top_quark_pred := quark_preds_pos.2.2
  38
  39theorem row_top_charm : top_quark_pred / charm_quark_pred = phi ^ (6 : ℕ) := top_charm_ratio
  40
  41theorem row_top_order_MeV :
  42    (10000 : ℝ) < top_quark_pred ∧ top_quark_pred < 1000000 := top_quark_pred_order
  43
  44theorem row_top_in_band_scorecard : (10000 : ℝ) < top_quark_pred ∧ top_quark_pred < 1000000 :=
  45  row_top_quark_in_band
  46
  47structure TopQuarkMassScoreCardCert where
  48  positive : 0 < top_quark_pred
  49  top_charm : top_quark_pred / charm_quark_pred = phi ^ (6 : ℕ)
  50  order_MeV : (10000 : ℝ) < top_quark_pred ∧ top_quark_pred < 1000000
  51  pdg_ref_pos : 0 < row_pdg_top_MeV
  52
  53theorem topQuarkMassScoreCardCert_holds : Nonempty TopQuarkMassScoreCardCert :=
  54  ⟨{ positive := row_top_pos
  55     top_charm := row_top_charm
  56     order_MeV := row_top_order_MeV
  57     pdg_ref_pos := row_pdg_top_positive }⟩
  58
  59end
  60
  61end IndisputableMonolith.Masses.TopQuarkMassScoreCard
  62