`parity_violation`

proved

show as: view math explainer →

module: IndisputableMonolith.Physics.WeakForceEmergence
domain: Physics
line: 84 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Physics.WeakForceEmergence on GitHub at line 84.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

formal source

  81def rightHandedCouples : Bool := false
  82
  83/-- Parity violation: L ≠ R. -/
  84theorem parity_violation : leftHandedCouples ≠ rightHandedCouples := by
  85  decide
  86
  87/-! ## Weak Isospin Doublets -/
  88
  89/-- Lepton doublet: (νe, e⁻). -/
  90def leptonDoublet : ℕ := 2
  91
  92/-- Quark doublet: (u, d). -/
  93def quarkDoublet : ℕ := 2
  94
  95/-- Each generation has 2 isospin doublets. -/
  96def doubletsPerGeneration : ℕ := 2
  97
  98/-- Total doublets for 3 generations. -/
  99def totalDoublets : ℕ := 3 * doubletsPerGeneration
 100
 101/-! ## Range and Strength -/
 102
 103/-- Weak interaction range is ~10⁻³ fm. -/
 104theorem weak_range_short : weakRange_fm < 0.01 := by
 105  -- 0.197327 / 80.3692 ≈ 0.00245 fm < 0.01
 106  simp only [weakRange_fm, hbar_c_GeV_fm, wBosonMass_GeV]
 107  norm_num
 108
 109/-- G_F relation: G_F / (ℏc)³ = √2 g² / (8 m_W²). -/
 110def gf_from_mw : ℝ := sqrt 2 * (weak_coupling_g)^2 / (8 * wBosonMass_GeV^2)
 111
 112/-- G_F matches the derived value (approximate, within 10%).
 113    The derivation is: G_F = sqrt(2) * g² / (8 * mW²) where g = 2*mW/v.
 114    Simplifying: G_F = sqrt(2) / (2 * v²).

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.