`bottom_down_equal_Z`

proved

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module: IndisputableMonolith.Masses.QuarkScoreCard
domain: Masses
line: 70 · github
papers citing: none yet

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IndisputableMonolith.Masses.QuarkScoreCard on GitHub at line 70.

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formal source

  67  obtain ⟨hd, hs, _⟩ := ZOf_down_quarks
  68  rw [hd, hs]
  69
  70theorem bottom_down_equal_Z : ZOf .d = ZOf .b := by
  71  obtain ⟨hd, _, hb⟩ := ZOf_down_quarks
  72  rw [hd, hb]
  73
  74/-! ## Generation rung spacing (proved directly from Integers definitions) -/
  75
  76open Integers in
  77theorem up_generation_spacing :
  78    r_up "c" - r_up "u" = 11 ∧ r_up "t" - r_up "u" = 17 := by
  79  decide
  80
  81open Integers in
  82theorem down_generation_spacing :
  83    r_down "s" - r_down "d" = 11 ∧ r_down "b" - r_down "d" = 17 := by
  84  decide
  85
  86/-! ## Structural ratios that already match PDG order of magnitude
  87
  88These are theorems in `Masses.Verification`. We re-export them under
  89explicit row IDs so the scorecard can be read at a glance.
  90-/
  91
  92/-- P0-Q structural row: m_c / m_u = φ^11 (proved). -/
  93theorem row_charm_up_ratio :
  94    Verification.charm_quark_pred / Verification.up_quark_pred =
  95      Constants.phi ^ (11 : ℕ) :=
  96  Verification.charm_up_ratio
  97
  98/-- P0-Q structural row: m_t / m_c = φ^6 (proved). -/
  99theorem row_top_charm_ratio :
 100    Verification.top_quark_pred / Verification.charm_quark_pred =

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